On goodness-of-fit testing for Burr type X distribution under progressively type-II censoring
In this article, we propose two goodness-of-fit test statistics for the Burr Type X distribution when the available data are subject to progressively Type-II censoring. The proposed test statistics are based on the sample correlation coefficient between the Kaplan-Meier estimator of the survival fun...
Saved in:
| Published in | Computational statistics Vol. 37; no. 5; pp. 2249 - 2265 |
|---|---|
| Main Authors | , |
| Format | Journal Article |
| Language | English |
| Published |
Berlin/Heidelberg
Springer Berlin Heidelberg
01.11.2022
Springer Nature B.V |
| Subjects | |
| Online Access | Get full text |
Cover
Loading…
| Abstract | In this article, we propose two goodness-of-fit test statistics for the Burr Type X distribution when the available data are subject to progressively Type-II censoring. The proposed test statistics are based on the sample correlation coefficient between the Kaplan-Meier estimator of the survival function and the lifetime data and also based on the correlation between the Nelson-Aalen estimator of the cumulative hazard function and the lifetime data. The new tests exhibit good performance in terms of power in compare to the EDF-based test statistics of Pakyari and Balakrishnan (IEEE Trans Reliab 61:238–242, 2012). The maximum likelihood estimator of the unknown Burr Type X model is also studied and an approximate estimator is given. Finally, two real datasets are analyzed for illustrative purposes. |
|---|---|
| AbstractList | In this article, we propose two goodness-of-fit test statistics for the Burr Type X distribution when the available data are subject to progressively Type-II censoring. The proposed test statistics are based on the sample correlation coefficient between the Kaplan-Meier estimator of the survival function and the lifetime data and also based on the correlation between the Nelson-Aalen estimator of the cumulative hazard function and the lifetime data. The new tests exhibit good performance in terms of power in compare to the EDF-based test statistics of Pakyari and Balakrishnan (IEEE Trans Reliab 61:238–242, 2012). The maximum likelihood estimator of the unknown Burr Type X model is also studied and an approximate estimator is given. Finally, two real datasets are analyzed for illustrative purposes. |
| Author | Baklizi, Ayman Pakyari, Reza |
| Author_xml | – sequence: 1 givenname: Reza orcidid: 0000-0002-9777-105X surname: Pakyari fullname: Pakyari, Reza email: rpakyari@qu.edu.qa organization: Statistics Program, Department of Mathematics, Statistics and Physics, College of Arts and Sciences, Qatar University – sequence: 2 givenname: Ayman surname: Baklizi fullname: Baklizi, Ayman organization: Statistics Program, Department of Mathematics, Statistics and Physics, College of Arts and Sciences, Qatar University |
| BookMark | eNp9kE1LAzEURYNUsK3-AVcB19F8zGQmSy1-FArdKLiRMDNJSkpNxiQj9N-bdgTBRVdvc857990ZmDjvNADXBN8SjKu7iDGpMcKUIkyIqFB5BqaEE4YEL-sJmGJRMFRgTi_ALMYtzmRFyRR8rB3ceK-cjhF5g4xNMOmYrNtA4wN8GEKAad9r-A6VjSnYdkjWOzg4pQPsg9-ErNpvvdsfObRcwk676ENecQnOTbOL-up3zsHb0-Pr4gWt1s_Lxf0KdYyIhHhhSG3qplFKcI4pUbStuGKt0q0utOG4UloxUWjFDS9xIYxpMl60VFSiatkc3Ix7c56vIceXWz8El09KWhFBGaG0yFQ9Ul3wMQZtZGdTc_gmhcbuJMHyUKYcy5S5InksU5ZZpf_UPtjPJuxPS2yUYn8oQ4e_VCesHxFEipI |
| CitedBy_id | crossref_primary_10_1016_j_jrras_2024_101107 crossref_primary_10_1007_s00180_023_01343_7 crossref_primary_10_15672_hujms_1210270 crossref_primary_10_3390_sym17030363 crossref_primary_10_3389_fams_2023_1113477 |
| Cites_doi | 10.6028/jres.057.033 10.1109/TR.2011.2162470 10.1111/1467-842X.00072 10.1080/03610929108830633 10.1080/0094965021000033530 10.1080/03610918.2014.917673 10.1023/A:1011352923990 10.1080/00949655.2011.625424 10.1002/9781119427605 10.1080/10629360600944266 10.1109/TR.2004.833317 10.1214/aoms/1177731607 10.1007/978-1-4612-0103-8_8 10.1109/TR.2012.2182811 10.1080/14786440009463897 10.1080/03610918.2016.1248569 10.1016/S0898-1221(98)00143-6 10.1016/0026-2714(94)00056-T 10.1080/00401706.1963.10490102 10.1016/j.jspi.2003.10.003 10.1080/03610918.2021.1930052 10.1016/j.spl.2015.07.029 10.1016/S0378-3758(97)00038-4 10.1080/00949655.2019.1648468 10.1007/978-1-4612-1334-5 10.1007/s11749-007-0061-y 10.1109/TR.2007.895308 10.1016/j.jksus.2017.05.007 10.1016/j.cam.2019.112557 10.1016/B978-0-12-076948-3.50014-6 10.1080/03610918.2015.1069347 10.1007/978-0-8176-4807-7 10.1186/s40064-016-2271-9 10.1007/978-1-4612-0103-8 |
| ContentType | Journal Article |
| Copyright | The Author(s), under exclusive licence to Springer-Verlag GmbH Germany, part of Springer Nature 2022 The Author(s), under exclusive licence to Springer-Verlag GmbH Germany, part of Springer Nature 2022. |
| Copyright_xml | – notice: The Author(s), under exclusive licence to Springer-Verlag GmbH Germany, part of Springer Nature 2022 – notice: The Author(s), under exclusive licence to Springer-Verlag GmbH Germany, part of Springer Nature 2022. |
| DBID | AAYXX CITATION 3V. 7SC 7TB 7WY 7WZ 7XB 87Z 88I 8AL 8C1 8FD 8FE 8FG 8FK 8FL 8G5 ABJCF ABUWG AFKRA ARAPS AZQEC BENPR BEZIV BGLVJ CCPQU DWQXO FR3 FRNLG FYUFA F~G GHDGH GNUQQ GUQSH HCIFZ JQ2 K60 K6~ K7- KR7 L.- L6V L7M L~C L~D M0C M0N M2O M2P M7S MBDVC P5Z P62 PHGZM PHGZT PJZUB PKEHL PPXIY PQBIZ PQBZA PQEST PQGLB PQQKQ PQUKI PTHSS Q9U |
| DOI | 10.1007/s00180-022-01197-5 |
| DatabaseName | CrossRef ProQuest Central (Corporate) Computer and Information Systems Abstracts Mechanical & Transportation Engineering Abstracts ABI/INFORM Collection ABI/INFORM Global (PDF only) ProQuest Central (purchase pre-March 2016) ABI/INFORM Global (Alumni Edition) Science Database (Alumni Edition) Computing Database (Alumni Edition) Public Health Database Technology Research Database ProQuest SciTech Collection ProQuest Technology Collection ProQuest Central (Alumni) (purchase pre-March 2016) ABI/INFORM Collection (Alumni) ProQuest Research Library Materials Science & Engineering Collection ProQuest Central (Alumni) ProQuest Central UK/Ireland Advanced Technologies & Aerospace Collection ProQuest Central Essentials ProQuest Central Business Premium Collection Technology Collection ProQuest One ProQuest Central Korea Engineering Research Database Business Premium Collection (Alumni) Health Research Premium Collection ABI/INFORM Global (Corporate) Health Research Premium Collection (Alumni) ProQuest Central Student ProQuest Research Library SciTech Premium Collection ProQuest Computer Science Collection ProQuest Business Collection (Alumni Edition) ProQuest Business Collection Computer Science Database Civil Engineering Abstracts ABI/INFORM Professional Advanced ProQuest Engineering Collection Advanced Technologies Database with Aerospace Computer and Information Systems Abstracts Academic Computer and Information Systems Abstracts Professional ABI/INFORM Global Computing Database Research Library Science Database Engineering Database Research Library (Corporate) ProQuest advanced technologies & aerospace journals ProQuest Advanced Technologies & Aerospace Collection ProQuest Central Premium ProQuest One Academic (New) ProQuest Health & Medical Research Collection ProQuest One Academic Middle East (New) ProQuest One Health & Nursing ProQuest One Business ProQuest One Business (Alumni) ProQuest One Academic Eastern Edition (DO NOT USE) ProQuest One Applied & Life Sciences ProQuest One Academic ProQuest One Academic UKI Edition Engineering collection ProQuest Central Basic |
| DatabaseTitle | CrossRef ProQuest Business Collection (Alumni Edition) Research Library Prep Computer Science Database ProQuest Central Student ProQuest Advanced Technologies & Aerospace Collection ProQuest Central Essentials ProQuest Computer Science Collection Computer and Information Systems Abstracts SciTech Premium Collection ABI/INFORM Complete ProQuest One Applied & Life Sciences Health Research Premium Collection Health & Medical Research Collection ProQuest Central (New) Engineering Collection Advanced Technologies & Aerospace Collection Business Premium Collection ABI/INFORM Global Engineering Database ProQuest Science Journals (Alumni Edition) ProQuest One Academic Eastern Edition ProQuest Technology Collection Health Research Premium Collection (Alumni) ProQuest Business Collection ProQuest One Academic UKI Edition Engineering Research Database ProQuest One Academic ProQuest One Academic (New) ABI/INFORM Global (Corporate) ProQuest One Business Technology Collection Technology Research Database Computer and Information Systems Abstracts – Academic ProQuest One Academic Middle East (New) Mechanical & Transportation Engineering Abstracts ProQuest Central (Alumni Edition) ProQuest One Community College ProQuest One Health & Nursing Research Library (Alumni Edition) ProQuest Central ABI/INFORM Professional Advanced ProQuest Health & Medical Research Collection ProQuest Engineering Collection ProQuest Central Korea ProQuest Research Library Advanced Technologies Database with Aerospace ABI/INFORM Complete (Alumni Edition) Civil Engineering Abstracts ProQuest Computing ProQuest Public Health ABI/INFORM Global (Alumni Edition) ProQuest Central Basic ProQuest Science Journals ProQuest Computing (Alumni Edition) ProQuest SciTech Collection Computer and Information Systems Abstracts Professional Advanced Technologies & Aerospace Database Materials Science & Engineering Collection ProQuest One Business (Alumni) ProQuest Central (Alumni) Business Premium Collection (Alumni) |
| DatabaseTitleList | ProQuest Business Collection (Alumni Edition) |
| Database_xml | – sequence: 1 dbid: 8FG name: ProQuest Technology Collection url: https://search.proquest.com/technologycollection1 sourceTypes: Aggregation Database |
| DeliveryMethod | fulltext_linktorsrc |
| Discipline | Statistics Mathematics |
| EISSN | 1613-9658 |
| EndPage | 2265 |
| ExternalDocumentID | 10_1007_s00180_022_01197_5 |
| GroupedDBID | -5D -5G -BR -EM -Y2 -~C .86 .VR 06D 0R~ 0VY 199 1N0 203 29F 2J2 2JN 2JY 2KG 2LR 2VQ 2~H 30V 3V. 4.4 406 408 409 40D 40E 53G 5GY 5VS 67Z 6NX 78A 7WY 88I 8C1 8FE 8FG 8FL 8G5 8TC 8UJ 95- 95. 95~ 96X AAAVM AABHQ AACDK AAHNG AAIAL AAJBT AAJKR AANZL AARHV AARTL AASML AATNV AATVU AAUYE AAWCG AAYIU AAYQN AAYTO AAYZH ABAKF ABBBX ABBXA ABDZT ABECU ABFTV ABHLI ABHQN ABJCF ABJNI ABJOX ABKCH ABKTR ABLJU ABMNI ABMQK ABNWP ABQBU ABQSL ABSXP ABTEG ABTHY ABTKH ABTMW ABULA ABUWG ABWNU ABXPI ACAOD ACBXY ACDTI ACGFS ACGOD ACHSB ACHXU ACIWK ACKNC ACMDZ ACMLO ACOKC ACOMO ACPIV ACSNA ACZOJ ADBBV ADHHG ADHIR ADINQ ADKNI ADKPE ADRFC ADTPH ADURQ ADYFF ADZKW AEBTG AEFQL AEGAL AEGNC AEJHL AEJRE AEKMD AEMSY AENEX AEOHA AEPYU AESKC AETLH AEVLU AEXYK AFBBN AFGCZ AFKRA AFLOW AFQWF AFWTZ AFZKB AGAYW AGDGC AGJBK AGMZJ AGQEE AGQMX AGRTI AGWIL AGWZB AGYKE AHAVH AHBYD AHKAY AHSBF AHYZX AIAKS AIGIU AIIXL AILAN AITGF AJBLW AJRNO AJZVZ ALIPV ALMA_UNASSIGNED_HOLDINGS ALWAN AMKLP AMXSW AMYLF AMYQR AOCGG ARAPS ARMRJ ASPBG AVWKF AXYYD AYJHY AZFZN AZQEC B-. BA0 BAPOH BDATZ BENPR BEZIV BGLVJ BGNMA BPHCQ BSONS CAG CCPQU COF CS3 CSCUP DDRTE DNIVK DPUIP DU5 DWQXO EBLON EBS EIOEI EJD ESBYG F5P FEDTE FERAY FFXSO FIGPU FINBP FNLPD FRNLG FRRFC FSGXE FWDCC FYUFA GGCAI GGRSB GJIRD GNUQQ GNWQR GQ6 GQ7 GQ8 GROUPED_ABI_INFORM_COMPLETE GUQSH GXS H13 HCIFZ HF~ HG5 HG6 HLICF HMJXF HQYDN HRMNR HVGLF HZ~ H~9 IHE IJ- IKXTQ ITM IWAJR IXC IXE IZIGR IZQ I~X I~Z J-C J0Z JBSCW JCJTX JZLTJ K60 K6V K6~ K7- KDC KOV L6V LAS LLZTM M0C M0N M2O M2P M4Y M7S MA- MK~ N2Q N9A NB0 NPVJJ NQJWS NU0 O9- O93 O9J OAM P2P P62 P9R PF0 PQBIZ PQBZA PQQKQ PROAC PT4 PTHSS Q2X QOS R89 R9I RNS ROL RPX RSV S16 S1Z S27 S3B SAP SDH SHX SISQX SJYHP SMT SNE SNPRN SNX SOHCF SOJ SPISZ SRMVM SSLCW STPWE SZN T13 TSG TSK TSV TUC U2A UG4 UKHRP UOJIU UTJUX UZXMN VC2 VFIZW W23 W48 WK8 YLTOR Z45 Z7R Z7X Z7Y Z81 Z83 Z88 ZMTXR AAPKM AAYXX ABBRH ABDBE ABFSG ACSTC ADHKG ADKFA AEZWR AFDZB AFHIU AFOHR AGQPQ AHPBZ AHWEU AIXLP AMVHM ATHPR AYFIA CITATION PHGZM PHGZT 7SC 7TB 7XB 8AL 8FD 8FK ABRTQ FR3 JQ2 KR7 L.- L7M L~C L~D MBDVC PJZUB PKEHL PPXIY PQEST PQGLB PQUKI Q9U |
| ID | FETCH-LOGICAL-c319t-64f18f8aadd966021d2b76d3bdebe4ef607ded394ed6f65049ffa8aa4b29797b3 |
| IEDL.DBID | BENPR |
| ISSN | 0943-4062 |
| IngestDate | Fri Jul 25 19:23:59 EDT 2025 Thu Apr 24 23:11:33 EDT 2025 Tue Jul 01 04:23:18 EDT 2025 Fri Feb 21 02:44:33 EST 2025 |
| IsPeerReviewed | true |
| IsScholarly | true |
| Issue | 5 |
| Keywords | Correlation coefficient Nelson-Aalen estimate Progressive Type-II censoring Exponential distribution Kalpan–Meier estimate Burr distribution Cumulative hazard function Goodness-of-fit testing Monte Carlo simulation |
| Language | English |
| LinkModel | DirectLink |
| MergedId | FETCHMERGED-LOGICAL-c319t-64f18f8aadd966021d2b76d3bdebe4ef607ded394ed6f65049ffa8aa4b29797b3 |
| Notes | ObjectType-Article-1 SourceType-Scholarly Journals-1 ObjectType-Feature-2 content type line 14 |
| ORCID | 0000-0002-9777-105X |
| PQID | 2719231224 |
| PQPubID | 54096 |
| PageCount | 17 |
| ParticipantIDs | proquest_journals_2719231224 crossref_citationtrail_10_1007_s00180_022_01197_5 crossref_primary_10_1007_s00180_022_01197_5 springer_journals_10_1007_s00180_022_01197_5 |
| ProviderPackageCode | CITATION AAYXX |
| PublicationCentury | 2000 |
| PublicationDate | 20221100 2022-11-00 20221101 |
| PublicationDateYYYYMMDD | 2022-11-01 |
| PublicationDate_xml | – month: 11 year: 2022 text: 20221100 |
| PublicationDecade | 2020 |
| PublicationPlace | Berlin/Heidelberg |
| PublicationPlace_xml | – name: Berlin/Heidelberg – name: Heidelberg |
| PublicationTitle | Computational statistics |
| PublicationTitleAbbrev | Comput Stat |
| PublicationYear | 2022 |
| Publisher | Springer Berlin Heidelberg Springer Nature B.V |
| Publisher_xml | – name: Springer Berlin Heidelberg – name: Springer Nature B.V |
| References | Jaheen (CR19) 1996; 3 Doring, Cramer (CR14) 2019; 89 Balakrishnan, Lin (CR7) 2003; 73 CR17 Surles, Padgett (CR40) 2005; 128 CR16 CR13 Cohen (CR12) 1963; 5 Lieblein, Zelen (CR24) 1956; 57 Pakyari (CR28) 2021 Surles, Padgett (CR39) 2001; 7 Balakrishnan, Aggrawala (CR3) 2000 Balakrishnan (CR2) 2007; 16 Park, Pakyari (CR32) 2015; 106 Balakrishnan, Cramer (CR5) 2014 Pearson (CR33) 1900; 50 Sartawi, Abu-Salih (CR37) 1991; 20 CR4 Baratpour, Habibi Rad (CR10) 2016; 45 Burr (CR11) 1942; 13 Raqab, Kundu (CR36) 2006; 4 Ahmad, Fakhry, Jaheen (CR1) 1997; 6 CR29 Rad, Yousefzadeh, Balakrishnan (CR34) 2011; 60 CR25 Surles, Padgett (CR38) 1998; 7 Balakrishnan, Habibi Rad, Arghami (CR6) 2007; 56 CR23 Nikulin, Chimitova (CR26) 2017 CR22 Balakrishnan, Ng, Kannan, Huber-Carol, Balakrishnan, Nikulin, Mesbah (CR8) 2002 Gupta, Kundu (CR15) 1999; 41 CR21 CR20 Pakyari, Balakrishnan (CR30) 2012; 61 CR41 Wang (CR42) 2008; 78 Jaheen (CR18) 1995; 35 Raqab (CR35) 1998; 36 Balakrishnan, Ng, Kannan (CR9) 2004; 53 Noughabi (CR27) 2017; 46 Pakyari, Balakrishnan (CR31) 2013; 83 N Balakrishnan (1197_CR3) 2000 1197_CR4 K Pearson (1197_CR33) 1900; 50 RD Gupta (1197_CR15) 1999; 41 N Balakrishnan (1197_CR7) 2003; 73 HA Noughabi (1197_CR27) 2017; 46 MS Nikulin (1197_CR26) 2017 J Lieblein (1197_CR24) 1956; 57 R Pakyari (1197_CR30) 2012; 61 ZF Jaheen (1197_CR19) 1996; 3 1197_CR13 N Balakrishnan (1197_CR8) 2002 1197_CR17 JG Surles (1197_CR38) 1998; 7 1197_CR16 MZ Raqab (1197_CR36) 2006; 4 KE Ahmad (1197_CR1) 1997; 6 N Balakrishnan (1197_CR9) 2004; 53 M Doring (1197_CR14) 2019; 89 B Wang (1197_CR42) 2008; 78 ZF Jaheen (1197_CR18) 1995; 35 1197_CR20 1197_CR21 MZ Raqab (1197_CR35) 1998; 36 JG Surles (1197_CR39) 2001; 7 1197_CR41 HA Sartawi (1197_CR37) 1991; 20 N Balakrishnan (1197_CR6) 2007; 56 JG Surles (1197_CR40) 2005; 128 R Pakyari (1197_CR31) 2013; 83 AH Rad (1197_CR34) 2011; 60 IW Burr (1197_CR11) 1942; 13 R Pakyari (1197_CR28) 2021 N Balakrishnan (1197_CR5) 2014 1197_CR25 N Balakrishnan (1197_CR2) 2007; 16 1197_CR22 S Baratpour (1197_CR10) 2016; 45 1197_CR23 AC Cohen (1197_CR12) 1963; 5 1197_CR29 S Park (1197_CR32) 2015; 106 |
| References_xml | – volume: 7 start-page: 225 year: 1998 end-page: 238 ident: CR38 article-title: Inference for in the Burr Type X model publication-title: J Appl Stat Sci – ident: CR22 – volume: 57 start-page: 273 year: 1956 end-page: 315 ident: CR24 article-title: Statistical investigation of the fatique life of deep-groove ball bearings publication-title: J Res Natl Bur Stand doi: 10.6028/jres.057.033 – volume: 60 start-page: 570 year: 2011 end-page: 579 ident: CR34 article-title: Goodness-of-fit test based on Kullback–Leibler infromation for progressively Type-II censored data publication-title: IEEE Trans Reliab doi: 10.1109/TR.2011.2162470 – volume: 41 start-page: 173 year: 1999 end-page: 188 ident: CR15 article-title: Generalized exponential distribution publication-title: Aust N Z J Stat doi: 10.1111/1467-842X.00072 – volume: 20 start-page: 2307 year: 1991 end-page: 2330 ident: CR37 article-title: Bayes prediction bounds for the Burr Type X model publication-title: Commun Stat - Theory Methods doi: 10.1080/03610929108830633 – ident: CR4 – volume: 73 start-page: 277 issue: 4 year: 2003 end-page: 283 ident: CR7 article-title: On the distribution of a test for exponentiality based on progressively Type-II right censored spacings publication-title: J Stat Comput Simul doi: 10.1080/0094965021000033530 – volume: 45 start-page: 2625 issue: 7 year: 2016 end-page: 2637 ident: CR10 article-title: Exponentiality test based on progressive Type II censoring via cumulative entropy publication-title: Commun Stat-Simul Comput doi: 10.1080/03610918.2014.917673 – ident: CR16 – volume: 7 start-page: 187 year: 2001 end-page: 200 ident: CR39 article-title: Inference for reliability and stress-strength for a scaled Burr Type X distribution publication-title: Lifetime Data Anal doi: 10.1023/A:1011352923990 – volume: 83 start-page: 167 issue: 1 year: 2013 end-page: 178 ident: CR31 article-title: Goodness-of-fit tests for progressively Type-II censored data from location-scale distributions publication-title: J Stat Comput Simul doi: 10.1080/00949655.2011.625424 – year: 2017 ident: CR26 publication-title: Chi-squared goodness-of-fit tests for censored data doi: 10.1002/9781119427605 – volume: 3 start-page: 281 year: 1996 end-page: 288 ident: CR19 article-title: Empirical Bayes estimation of the reliability and failure rate functions of the Burr Type X failure model publication-title: J Appl Stat Sci – ident: CR29 – volume: 78 start-page: 125 issue: 2 year: 2008 end-page: 132 ident: CR42 article-title: Goodness-of-fit test for the exponential distribution based on progressively Type-II censored sample publication-title: J Stat Comput Simul doi: 10.1080/10629360600944266 – volume: 53 start-page: 349 year: 2004 end-page: 356 ident: CR9 article-title: Goodness-of-fit tests based on spacings for progressively Type-II censored data from a general location-scale distribution publication-title: IEEE Trans Reliab doi: 10.1109/TR.2004.833317 – volume: 13 start-page: 215 year: 1942 end-page: 232 ident: CR11 article-title: Cumulative frequency distribution publication-title: Ann Math Stat doi: 10.1214/aoms/1177731607 – ident: CR25 – ident: CR23 – start-page: 89 year: 2002 end-page: 111 ident: CR8 article-title: A test of exponentiality based on spacings for progressively Type-II censored data publication-title: Goodness-of-fit tests and model validity doi: 10.1007/978-1-4612-0103-8_8 – ident: CR21 – volume: 61 start-page: 238 year: 2012 end-page: 242 ident: CR30 article-title: A general purpose approximate goodness-of-fit test for progressively Type-II censored data publication-title: IEEE Trans Reliab doi: 10.1109/TR.2012.2182811 – volume: 50 start-page: 157 year: 1900 end-page: 172 ident: CR33 article-title: On the criterion that a given system of deviations from the probable in the case of a correlated system of variables is such that it can be reasonably supposed to have arisen from random sampling publication-title: Philos Mag doi: 10.1080/14786440009463897 – volume: 46 start-page: 7624 issue: 10 year: 2017 end-page: 7638 ident: CR27 article-title: Testing exponentiality based on Kullback–Leibler information for progressively Type II censored data publication-title: Commun Stat-Simul Comput doi: 10.1080/03610918.2016.1248569 – volume: 36 start-page: 111 year: 1998 end-page: 120 ident: CR35 article-title: Order statistics from the Burr Type X model publication-title: Comput Math Appl doi: 10.1016/S0898-1221(98)00143-6 – year: 2014 ident: CR5 publication-title: The art of progressive censoring-applications on reliability and quality – volume: 35 start-page: 45 year: 1995 end-page: 47 ident: CR18 article-title: Bayesian approach to prediction with outliers from the Burr Type X model publication-title: Microelectron Reliab doi: 10.1016/0026-2714(94)00056-T – volume: 5 start-page: 327 year: 1963 end-page: 329 ident: CR12 article-title: Progressively censored samples in life testing publication-title: Technometrics doi: 10.1080/00401706.1963.10490102 – ident: CR17 – volume: 4 start-page: 179 issue: 2 year: 2006 end-page: 193 ident: CR36 article-title: Burr Type X distribution: revisited publication-title: J Probab Stat Sci – volume: 128 start-page: 271 year: 2005 end-page: 280 ident: CR40 article-title: Some properties of scaled Burr Type X distribution publication-title: J Stat Plan Inference doi: 10.1016/j.jspi.2003.10.003 – ident: CR13 – year: 2021 ident: CR28 article-title: Goodness-of-fit testing based on Gini Index of spacings for progressively Type-II censored data publication-title: Commun Stat-Simul Comput doi: 10.1080/03610918.2021.1930052 – volume: 106 start-page: 287 year: 2015 end-page: 294 ident: CR32 article-title: Cumulative residual Kullbak–Leibler information with the progressively Type-II censored data publication-title: Stat Probab Lett doi: 10.1016/j.spl.2015.07.029 – volume: 6 start-page: 297 issue: 4 year: 1997 end-page: 308 ident: CR1 article-title: Empirical Bayes estimation of and characterization of Burr-type X model publication-title: J Stat Plan Inference doi: 10.1016/S0378-3758(97)00038-4 – volume: 89 start-page: 2997 issue: 16 year: 2019 end-page: 3034 ident: CR14 article-title: On the power of goodness-of-fit tests for the exponential distribution under progressive Type-II censoring publication-title: J Stat Comput Simul doi: 10.1080/00949655.2019.1648468 – year: 2000 ident: CR3 publication-title: Progressive censoring: theory, methods, and applications doi: 10.1007/978-1-4612-1334-5 – volume: 16 start-page: 211 year: 2007 end-page: 296 ident: CR2 article-title: Progressive censoring methodology: an appraisal (with discusssions) publication-title: TEST doi: 10.1007/s11749-007-0061-y – volume: 56 start-page: 301 year: 2007 end-page: 307 ident: CR6 article-title: Testing exponentiality based on Kullback–Leibler information with progressively Type-II censored data publication-title: IEEE Trans Reliab doi: 10.1109/TR.2007.895308 – ident: CR41 – ident: CR20 – volume: 53 start-page: 349 year: 2004 ident: 1197_CR9 publication-title: IEEE Trans Reliab doi: 10.1109/TR.2004.833317 – ident: 1197_CR16 – volume: 13 start-page: 215 year: 1942 ident: 1197_CR11 publication-title: Ann Math Stat doi: 10.1214/aoms/1177731607 – ident: 1197_CR20 – volume-title: Chi-squared goodness-of-fit tests for censored data year: 2017 ident: 1197_CR26 doi: 10.1002/9781119427605 – ident: 1197_CR22 doi: 10.1016/j.jksus.2017.05.007 – volume: 46 start-page: 7624 issue: 10 year: 2017 ident: 1197_CR27 publication-title: Commun Stat-Simul Comput doi: 10.1080/03610918.2016.1248569 – volume: 56 start-page: 301 year: 2007 ident: 1197_CR6 publication-title: IEEE Trans Reliab doi: 10.1109/TR.2007.895308 – volume: 50 start-page: 157 year: 1900 ident: 1197_CR33 publication-title: Philos Mag doi: 10.1080/14786440009463897 – volume: 45 start-page: 2625 issue: 7 year: 2016 ident: 1197_CR10 publication-title: Commun Stat-Simul Comput doi: 10.1080/03610918.2014.917673 – year: 2021 ident: 1197_CR28 publication-title: Commun Stat-Simul Comput doi: 10.1080/03610918.2021.1930052 – volume: 41 start-page: 173 year: 1999 ident: 1197_CR15 publication-title: Aust N Z J Stat doi: 10.1111/1467-842X.00072 – volume: 20 start-page: 2307 year: 1991 ident: 1197_CR37 publication-title: Commun Stat - Theory Methods doi: 10.1080/03610929108830633 – volume: 6 start-page: 297 issue: 4 year: 1997 ident: 1197_CR1 publication-title: J Stat Plan Inference doi: 10.1016/S0378-3758(97)00038-4 – volume: 106 start-page: 287 year: 2015 ident: 1197_CR32 publication-title: Stat Probab Lett doi: 10.1016/j.spl.2015.07.029 – ident: 1197_CR41 doi: 10.1016/j.cam.2019.112557 – ident: 1197_CR4 doi: 10.1016/B978-0-12-076948-3.50014-6 – ident: 1197_CR13 – volume: 3 start-page: 281 year: 1996 ident: 1197_CR19 publication-title: J Appl Stat Sci – volume: 73 start-page: 277 issue: 4 year: 2003 ident: 1197_CR7 publication-title: J Stat Comput Simul doi: 10.1080/0094965021000033530 – volume: 89 start-page: 2997 issue: 16 year: 2019 ident: 1197_CR14 publication-title: J Stat Comput Simul doi: 10.1080/00949655.2019.1648468 – volume: 128 start-page: 271 year: 2005 ident: 1197_CR40 publication-title: J Stat Plan Inference doi: 10.1016/j.jspi.2003.10.003 – volume: 7 start-page: 187 year: 2001 ident: 1197_CR39 publication-title: Lifetime Data Anal doi: 10.1023/A:1011352923990 – ident: 1197_CR29 doi: 10.1080/03610918.2015.1069347 – ident: 1197_CR21 – start-page: 89 volume-title: Goodness-of-fit tests and model validity year: 2002 ident: 1197_CR8 doi: 10.1007/978-1-4612-0103-8_8 – volume: 35 start-page: 45 year: 1995 ident: 1197_CR18 publication-title: Microelectron Reliab doi: 10.1016/0026-2714(94)00056-T – volume: 60 start-page: 570 year: 2011 ident: 1197_CR34 publication-title: IEEE Trans Reliab doi: 10.1109/TR.2011.2162470 – volume: 7 start-page: 225 year: 1998 ident: 1197_CR38 publication-title: J Appl Stat Sci – volume-title: The art of progressive censoring-applications on reliability and quality year: 2014 ident: 1197_CR5 doi: 10.1007/978-0-8176-4807-7 – volume: 4 start-page: 179 issue: 2 year: 2006 ident: 1197_CR36 publication-title: J Probab Stat Sci – volume: 36 start-page: 111 year: 1998 ident: 1197_CR35 publication-title: Comput Math Appl doi: 10.1016/S0898-1221(98)00143-6 – ident: 1197_CR23 – ident: 1197_CR25 doi: 10.1186/s40064-016-2271-9 – volume: 83 start-page: 167 issue: 1 year: 2013 ident: 1197_CR31 publication-title: J Stat Comput Simul doi: 10.1080/00949655.2011.625424 – volume: 16 start-page: 211 year: 2007 ident: 1197_CR2 publication-title: TEST doi: 10.1007/s11749-007-0061-y – volume: 57 start-page: 273 year: 1956 ident: 1197_CR24 publication-title: J Res Natl Bur Stand doi: 10.6028/jres.057.033 – volume-title: Progressive censoring: theory, methods, and applications year: 2000 ident: 1197_CR3 doi: 10.1007/978-1-4612-1334-5 – volume: 5 start-page: 327 year: 1963 ident: 1197_CR12 publication-title: Technometrics doi: 10.1080/00401706.1963.10490102 – volume: 78 start-page: 125 issue: 2 year: 2008 ident: 1197_CR42 publication-title: J Stat Comput Simul doi: 10.1080/10629360600944266 – ident: 1197_CR17 doi: 10.1007/978-1-4612-0103-8 – volume: 61 start-page: 238 year: 2012 ident: 1197_CR30 publication-title: IEEE Trans Reliab doi: 10.1109/TR.2012.2182811 |
| SSID | ssj0022721 |
| Score | 2.313162 |
| Snippet | In this article, we propose two goodness-of-fit test statistics for the Burr Type X distribution when the available data are subject to progressively Type-II... |
| SourceID | proquest crossref springer |
| SourceType | Aggregation Database Enrichment Source Index Database Publisher |
| StartPage | 2249 |
| SubjectTerms | Correlation coefficients Economic Theory/Quantitative Economics/Mathematical Methods Goodness of fit Mathematics and Statistics Maximum likelihood estimators Monte Carlo simulation Original Paper Probability and Statistics in Computer Science Probability Theory and Stochastic Processes Statistical tests Statistics Survival analysis |
| SummonAdditionalLinks | – databaseName: SpringerLink Journals (ICM) dbid: U2A link: http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwlV1RS8MwED50vswH0ak4nZIH3zTQpmnaPk5xbML0xcFepKxNMoTRjq4T_PfmsrZDUcHnXvNwd7l8l9x9B3DNkZBFS0VTFWrKpRY08V1FFdOh0NKACjtFYfwkhhP-OPWnVVPYqq52r58kbaRumt1wfpxDsfrcDsui_i7s-Zi7Gy-esH6TZrHAdlthyZzJjgSrWmV-XuPrcbTFmN-eRe1pMziEgwomkv7Grkewo7IO7I8bjtVVB9qIEzc0y8fw-pyReZ5LDFw011S_laREAo1sTgwsJXfroiB43UqmRCJXbjXmimAPWUFslRYWxL6rxYeVo6MRSU2Ka-vzTmAyeHi5H9JqcgJNzZYqqeDaDXU4M8EL2TeZK1kSCOkl0tiMKy2cQCrpRVxJoQ1G45HWMyPOExYFUZB4p9DK8kydAVEmH5Mp557yfK5QaIbGdbXJ61Indbrg1gqM04pWHKdbLOKGENkqPTZKj63SY78LN80_yw2pxp_SvdoucbXBVjELLDQ1AKQLt7Wttp9_X-38f-IX0GboLrb7sAetslirSwNDyuTKet0nzazUGQ priority: 102 providerName: Springer Nature |
| Title | On goodness-of-fit testing for Burr type X distribution under progressively type-II censoring |
| URI | https://link.springer.com/article/10.1007/s00180-022-01197-5 https://www.proquest.com/docview/2719231224 |
| Volume | 37 |
| hasFullText | 1 |
| inHoldings | 1 |
| isFullTextHit | |
| isPrint | |
| link | http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwfV1LT8MwDLaAXeCAeIrxmHLgBhFrmj52QgNtvLSBEJPGAVVrk0xIUzu2gsS_xw7ZJpDg0kPr5mAnjp3Y3wdwLAmQxSjNMx0bLpUJeRp4mmth4tAoDCosi0KnG1735G0_6LsDt6krq5z5ROuoVZHRGfmZiGwsgjvO-fiNE2sU3a46Co1lqKALjjH5qly0ug-P85RLRLbzisrnMFMKhWubsc1zxEdX51TNbsm3ePBza1rEm7-uSO3O096AdRcysua3jTdhSedbsNaZ461Ot-HlPmfDolDkt3hhuHktWUn4GfmQYVTKLt4nE0anrazPFEHlOpYrRi1kE2aLtKge9kOPPq0cv7lhGWa4tjxvB3rt1tPlNXfECTzDFVXyUBovNvEAfReBbwpPiTQKlZ8qNJnUJqxHSiu_IbUKDYZosmHMAMVlKhpRI0r9XVjJi1zvAdOYjqlMSl_7gdQkNCDbegbTuqye1avgzXSWZA5VnMgtRskcD9nqOUE9J1bPSVCFk_k_429MjX-lD2emSNz6miaL2VCF05l5Fp__Hm3__9EOYFXQjLDNhoewUk7e9RFGHWVag-X40qNn-6oGlebV812r5qYbvu2J5hfJLNh8 |
| linkProvider | ProQuest |
| linkToHtml | http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwtV1Nb9NAEB2F9gAcUCkgQkPZQ3sqK-L1-uuAEKWkSfPRSyLlgkzs3Y2QIjtNXFD-FL-RmY2dqEjNLWePV_Ls292Z9cx7AGeSCFmM0jzVoeFSGZ8nnqO5Fib0jcKgwqoo9Ad-eyRvxt64Bn-rXhgqq6z2RLtRqzylO_JPIrCxCJ44X-Z3nFSj6O9qJaGxhkVXr_5gyrb83LnC-T0XovV9-K3NS1UBniLcCu5L44QmnODCJmZK4SiRBL5yE4XfI7Xxm4HSyo2kVr7B-EVGxkzQXCYiCqIgcXHcJ3AoXTeiFRW2rjcJnghsnxcV62Fe5ouySce26pH6XZNT7byV-uLew4NwG93-90PWnnOtI3hRBqjs6xpRL6Gms2N43t-wuy5fwY_bjE3zXNEuyXPDza-CFcTWkU0ZxsDs8n6xYHS3y8ZMETFvqanFqGFtwWxJGFXf_tazlbXjnQ5LMZ-2xYCvYbQXh76BgyzP9FtgGpM_lUrpateTmowmhCTHYBKZNtNmHZzKZ3FacpiTlMYs3rAvWz_H6OfY-jn26nCxeWe-ZvDYad2opiIuV_My3mKvDh-r6dk-fny0d7tH-wBP28N-L-51Bt0TeCYIHbbNsQEHxeJev8d4p0hOLcgY_Nw3qv8BDaYRtQ |
| linkToPdf | http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwtV3JTsMwEB2xSAgOiFWU1Qc4gUXjOEl7QAhaqpb9AFIvKDSxXSGhBNoA4tf4OmbcpBVI9MY5E0sZP9szzsx7ALuSCFmM0jzWFcOlMj6PPEdzLUzFNwqDCquicHXtN-_ledtrT8BX0QtDZZXFnmg3apXGdEd-KAIbi-CJc2jysojbeuP45ZWTghT9aS3kNAYQudCfH5i-9Y9adZzrPSEaZ3e1Js8VBniM0Mu4L41TMZUOLnJiqRSOElHgKzdS-G1SG78cKK3cqtTKNxjLyKoxHTSXkagG1SBycdxJmA5cPGepS702LC8RIrA9X1S4hzmaL_KGHdu2R0p4ZU519Fb2i3s_D8VRpPvr56w98xoLMJ8Hq-xkgK5FmNDJEsxdDZle-8vwcJOwbpoq2jF5arh5ylhGzB1Jl2E8zE7fej1G97yszRSR9Ob6Woya13rMlodRJe67fv60drzVYjHm1rYwcAXu_8WhqzCVpIleA6YxEVSxlK52PanJqEOocgwmlHE5LpfAKXwWxjmfOclqPIdDJmbr5xD9HFo_h14J9ofvvAzYPMZabxZTEeYrux-OcFiCg2J6Ro__Hm19_Gg7MIN4Di9b1xcbMCsIHLbjcROmst6b3sLQJ4u2LcYYPP43qL8BTvoVtg |
| openUrl | ctx_ver=Z39.88-2004&ctx_enc=info%3Aofi%2Fenc%3AUTF-8&rfr_id=info%3Asid%2Fsummon.serialssolutions.com&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.atitle=On+goodness-of-fit+testing+for+Burr+type+X+distribution+under+progressively+type-II+censoring&rft.jtitle=Computational+statistics&rft.au=Pakyari%2C+Reza&rft.au=Baklizi%2C+Ayman&rft.date=2022-11-01&rft.pub=Springer+Nature+B.V&rft.issn=0943-4062&rft.eissn=1613-9658&rft.volume=37&rft.issue=5&rft.spage=2249&rft.epage=2265&rft_id=info:doi/10.1007%2Fs00180-022-01197-5&rft.externalDBID=HAS_PDF_LINK |
| thumbnail_l | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/lc.gif&issn=0943-4062&client=summon |
| thumbnail_m | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/mc.gif&issn=0943-4062&client=summon |
| thumbnail_s | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/sc.gif&issn=0943-4062&client=summon |