A law of the iterated logarithm for the product limit estimator with doubly censored data

We establish the law of the iterated logarithm for the product limit estimator, when the data are subject to double censoring. This investigation extends the results available for the model for singly censored data.

Saved in:

Bibliographic Details
Published in	Statistics & probability letters Vol. 81; no. 8; pp. 1241 - 1244
Main Authors	Messaci, Fatiha, Nemouchi, Nahima
Format	Journal Article
Language	English
Published	Amsterdam Elsevier B.V 01.08.2011 Elsevier
Series	Statistics & Probability Letters
Subjects	Double censoring Exact sciences and technology General topics Law of the iterated logarithm Law of the iterated logarithm Product limit estimator Double censoring Mathematics Nonparametric inference Probability and statistics Probability theory and stochastic processes Product limit estimator Sciences and techniques of general use Statistics Double censoring Product limit estimator Law of the iterated logarithm Censored data Statistical method Limit product estimator Probability theory Censored sample Law of iterated logarithm
Online Access	Get full text
ISSN	0167-7152 1879-2103
DOI	10.1016/j.spl.2011.03.023

Cover

Abstract	We establish the law of the iterated logarithm for the product limit estimator, when the data are subject to double censoring. This investigation extends the results available for the model for singly censored data.
AbstractList	We establish the law of the iterated logarithm for the product limit estimator, when the data are subject to double censoring. This investigation extends the results available for the model for singly censored data.
Author	Messaci, Fatiha Nemouchi, Nahima
Author_xml	– sequence: 1 givenname: Fatiha surname: Messaci fullname: Messaci, Fatiha email: f_messaci@yahoo.fr – sequence: 2 givenname: Nahima surname: Nemouchi fullname: Nemouchi, Nahima email: nemouchi_nahima@yahoo.fr
BackLink	http://pascal-francis.inist.fr/vibad/index.php?action=getRecordDetail&idt=24275418$$DView record in Pascal Francis http://econpapers.repec.org/article/eeestapro/v_3a81_3ay_3a2011_3ai_3a8_3ap_3a1241-1244.htm$$DView record in RePEc
BookMark	eNp9Ubtu3DAQJAIHyNnJB6Rjk1IKXxIlpDKMvIAD0iRFKmKPWuZ40IkCSdu4v8-eL3CRwsXsAtyZ4WD3ml0taUHG3kvRSiH7j4e2rHOrhJSt0K1Q-hXbyMGOjZJCX7ENcWxjZafesOtSDkII1XVyw37f8hkeeQq87pHHihkqTnxOfyDHuj_ykPLTaM1puveVz_EYK8dS4xEqzR6Jxad0v5tP3ONSUib5BBXestcB5oLv_vUb9uvL559335rtj6_f7263jddjX5sQjAoUFEZKagAtDL4DFexod50ZeqHEaEar-0EZ73c9qNGozlo0uvM7afUN2158M67o3ZopWD45RMoIlNo9OA2DpHIinDdELZ7fCCtBKiMdFeP29Uh2Hy52KxQPc8iw-FiebZVRtjNyIJ688HxOpWQMzxQp3Pkk7uDoJO7pQ6EdnYQ09j-NjxVqTEvNEOcXlZ8uSqRNPkTMrviIi8cpZvTVTSm-oP4LS2qm7g
CODEN	SPLTDC
CitedBy_id	crossref_primary_10_1016_j_spl_2021_109185 crossref_primary_10_1007_s00362_021_01240_5 crossref_primary_10_1080_03610926_2017_1337143 crossref_primary_10_1080_03610926_2025_2450027 crossref_primary_10_1080_03610926_2025_2458206 crossref_primary_10_1016_j_spl_2014_10_005 crossref_primary_10_1007_s12044_023_00752_4 crossref_primary_10_1016_j_spl_2012_06_026 crossref_primary_10_3103_S1066530719040045
Cites_doi	10.1214/009053606000000065 10.2140/pjm.1961.11.649 10.1007/BF00531975 10.1080/01621459.1974.10480146 10.1080/03610929108830533
ContentType	Journal Article
Copyright	2011 Elsevier B.V. 2015 INIST-CNRS
Copyright_xml	– notice: 2011 Elsevier B.V. – notice: 2015 INIST-CNRS
DBID	AAYXX CITATION IQODW DKI X2L
DOI	10.1016/j.spl.2011.03.023
DatabaseName	CrossRef Pascal-Francis RePEc IDEAS RePEc
DatabaseTitle	CrossRef
DatabaseTitleList
Database_xml	– sequence: 1 dbid: DKI name: RePEc IDEAS url: http://ideas.repec.org/ sourceTypes: Index Database
DeliveryMethod	fulltext_linktorsrc
Discipline	Statistics Mathematics
EISSN	1879-2103
EndPage	1244
ExternalDocumentID	eeestapro_v_3a81_3ay_3a2011_3ai_3a8_3ap_3a1241_1244_htm 24275418 10_1016_j_spl_2011_03_023 S0167715211001064
GroupedDBID	--K --M -~X .~1 0R~ 123 1B1 1OL 1RT 1~. 1~5 29Q 4.4 457 4G. 5VS 6OB 7-5 71M 8P~ 9JN 9JO AAAKF AAAKG AACTN AAEDT AAEDW AAIAV AAIKJ AAKOC AALRI AAOAW AAQFI AAQXK AARIN AAXUO AAYJJ ABAOU ABEHJ ABFNM ABJNI ABMAC ABUCO ABXDB ABYKQ ACAZW ACDAQ ACGFS ACRLP ADBBV ADEZE ADGUI ADMUD AEBSH AEKER AENEX AFKWA AFTJW AGHFR AGUBO AGYEJ AHHHB AIEXJ AIGVJ AIKHN AITUG AJBFU AJOXV ALMA_UNASSIGNED_HOLDINGS AMFUW AMRAJ APLSM ARUGR ASPBG AVWKF AXJTR AZFZN BKOJK BLXMC CS3 DU5 EBS EFJIC EFLBG EJD EO8 EO9 EP2 EP3 F5P FDB FEDTE FGOYB FIRID FNPLU FYGXN G-2 G-Q GBLVA HAMUX HMJ HVGLF HX~ HZ~ H~9 IHE J1W KOM LY1 M26 M41 MHUIS MO0 N9A O-L O9- OAUVE OZT P-8 P-9 P2P PC. Q38 R2- RIG RNS ROL RPZ SDF SDG SDS SES SEW SME SPC SPCBC SSB SSD SSW SSZ T5K TN5 WUQ XPP ZMT ~G- AATTM AAXKI AAYWO AAYXX ABWVN ACRPL ACVFH ADCNI ADNMO AEIPS AEUPX AFJKZ AFPUW AFXIZ AGCQF AGQPQ AGRNS AIGII AIIUN AKBMS AKRWK AKYEP ANKPU APXCP BNPGV CITATION SSH EFKBS IQODW AALMO ABPIF ABPTK DKI X2L
ID	FETCH-LOGICAL-c396t-ff42f879a92104ae7a8c5a2f797b5486020949736824ccb6a2942577e435cb173
IEDL.DBID	AIKHN
ISSN	0167-7152
IngestDate	Wed Jun 07 13:48:24 EDT 2023 Mon Jul 21 09:18:14 EDT 2025 Tue Jul 01 03:35:49 EDT 2025 Thu Apr 24 22:52:25 EDT 2025 Fri Feb 23 02:34:52 EST 2024
IsPeerReviewed	true
IsScholarly	true
Issue	8
Keywords	Double censoring Product limit estimator Law of the iterated logarithm Censored data Statistical method Limit product estimator Probability theory Censored sample Law of iterated logarithm
Language	English
License	https://www.elsevier.com/tdm/userlicense/1.0 CC BY 4.0
LinkModel	DirectLink
MergedId	FETCHMERGED-LOGICAL-c396t-ff42f879a92104ae7a8c5a2f797b5486020949736824ccb6a2942577e435cb173
PageCount	4
ParticipantIDs	repec_primary_eeestapro_v_3a81_3ay_3a2011_3ai_3a8_3ap_3a1241_1244_htm pascalfrancis_primary_24275418 crossref_primary_10_1016_j_spl_2011_03_023 crossref_citationtrail_10_1016_j_spl_2011_03_023 elsevier_sciencedirect_doi_10_1016_j_spl_2011_03_023
ProviderPackageCode	CITATION AAYXX
PublicationCentury	2000
PublicationDate	2011-08-01
PublicationDateYYYYMMDD	2011-08-01
PublicationDate_xml	– month: 08 year: 2011 text: 2011-08-01 day: 01
PublicationDecade	2010
PublicationPlace	Amsterdam
PublicationPlace_xml	– name: Amsterdam
PublicationSeriesTitle	Statistics & Probability Letters
PublicationTitle	Statistics & probability letters
PublicationYear	2011
Publisher	Elsevier B.V Elsevier
Publisher_xml	– name: Elsevier B.V – name: Elsevier
References	Kiefer (br000010) 1961; 11 Patilea, Rolin (br000020) 2006; 34 Földes, Rejtő (br000005) 1981; 56 Morales, Pardo, Quesada (br000015) 1991; 20 Turnbull (br000025) 1974; 69 Morales (10.1016/j.spl.2011.03.023_br000015) 1991; 20 Kiefer (10.1016/j.spl.2011.03.023_br000010) 1961; 11 Turnbull (10.1016/j.spl.2011.03.023_br000025) 1974; 69 Földes (10.1016/j.spl.2011.03.023_br000005) 1981; 56 Patilea (10.1016/j.spl.2011.03.023_br000020) 2006; 34
References_xml	– volume: 11 start-page: 649 year: 1961 end-page: 660 ident: br000010 article-title: On large deviations of the empiric d.f. of vector chance variables and a law of the iterated logarithm publication-title: Pacific J. Math. – volume: 20 start-page: 831 year: 1991 end-page: 850 ident: br000015 article-title: Bayesian survival estimation for incomplete data when the life distribution is proportionally related to the censoring time distribution publication-title: Comm. Statist. Theory Methods. – volume: 69 start-page: 169 year: 1974 end-page: 173 ident: br000025 article-title: Nonparametric estimation of a survivorship function with doubly censored data publication-title: J. Amer. Statist. Assoc. – volume: 34 start-page: 925 year: 2006 end-page: 938 ident: br000020 article-title: Product-limit estimators of the survival function with twice censored data publication-title: Ann. Statist. – volume: 56 start-page: 75 year: 1981 end-page: 86 ident: br000005 article-title: A LIL type result for the product limit estimator publication-title: Z. Wahrscheinlichkeitstheorie verw. Gebiete – volume: 34 start-page: 925 issue: 2 year: 2006 ident: 10.1016/j.spl.2011.03.023_br000020 article-title: Product-limit estimators of the survival function with twice censored data publication-title: Ann. Statist. doi: 10.1214/009053606000000065 – volume: 11 start-page: 649 year: 1961 ident: 10.1016/j.spl.2011.03.023_br000010 article-title: On large deviations of the empiric d.f. of vector chance variables and a law of the iterated logarithm publication-title: Pacific J. Math. doi: 10.2140/pjm.1961.11.649 – volume: 56 start-page: 75 year: 1981 ident: 10.1016/j.spl.2011.03.023_br000005 article-title: A LIL type result for the product limit estimator publication-title: Z. Wahrscheinlichkeitstheorie verw. Gebiete doi: 10.1007/BF00531975 – volume: 69 start-page: 169 year: 1974 ident: 10.1016/j.spl.2011.03.023_br000025 article-title: Nonparametric estimation of a survivorship function with doubly censored data publication-title: J. Amer. Statist. Assoc. doi: 10.1080/01621459.1974.10480146 – volume: 20 start-page: 831 year: 1991 ident: 10.1016/j.spl.2011.03.023_br000015 article-title: Bayesian survival estimation for incomplete data when the life distribution is proportionally related to the censoring time distribution publication-title: Comm. Statist. Theory Methods. doi: 10.1080/03610929108830533
SSID	ssj0002551
Score	1.9558587
Snippet	We establish the law of the iterated logarithm for the product limit estimator, when the data are subject to double censoring. This investigation extends the...
SourceID	repec pascalfrancis crossref elsevier
SourceType	Index Database Enrichment Source Publisher
StartPage	1241
SubjectTerms	Double censoring Exact sciences and technology General topics Law of the iterated logarithm Law of the iterated logarithm Product limit estimator Double censoring Mathematics Nonparametric inference Probability and statistics Probability theory and stochastic processes Product limit estimator Sciences and techniques of general use Statistics
Title	A law of the iterated logarithm for the product limit estimator with doubly censored data
URI	https://dx.doi.org/10.1016/j.spl.2011.03.023 http://econpapers.repec.org/article/eeestapro/v_3a81_3ay_3a2011_3ai_3a8_3ap_3a1241-1244.htm
Volume	81
hasFullText	1
inHoldings	1
isFullTextHit
isPrint
link	http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwnV3Nb9MwFH_aussQQjBAlI_KB05IWePYiZ1jNTZ1VNsBmBgny3ZsrShtozYD7cLfznO-xA7swMGJZOc51rPz_HvO888A7zPuZZb7NCq4LyJuHY8Mtyay2jHHbWISGfYOX1xm8yv-6Tq93oOTfi9MCKvsbH9r0xtr3eVMO21Oq-Vy-iUE0Isw_dDGseH7cJCwPEtHcDA7X8wvB4OMqJn2FN9BoP-52YR57aqyI_Jkx3HC_jU9Pa70DpXm29MuEMluXeXsX1PR2VN40mFIMmub-Qz23PoIHl0MBKy7IzgMILLlYH4O32ek1L_IxhN8grQ8yq4gaPXQUa5vVgSBa1NUtfSvpAy7nkjg31gFn5yExVpSbG5NeUcs-r2bLYqH2NIXcHV2-vVkHnVHKkQWVVNH3vPES5HrHF09rp3Q0qY68SIXJm3Oo0J3Lxcskwm31mQ6ycNHLRyiKmuoYC9htN6s3SsgrtBUmpihbMEz402qtZGhEvRouI7HEPeaVLbjGw_HXpSqDyz7oVD5KihfxUyh8sfwYRCpWrKNhx7mffeoeyNG4WTwkNjkXlcOL0KsIlJO5RhOm74dCpxDfWvsAfVTMS0pXu4wNXUyvQx5mCpMiJWoCoBJ3dSr1__Xvjdw2C9bx_QtjOrtrXuHuKc2E9g__k0n3egO98XnbwvM_bg4_wNLjQOa
linkProvider	Elsevier
linkToHtml	http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwnV1Lb9QwEB6VcqAIISgglkfxgRNSuknsxM6xqlot0O2FViony3ZsdavsbrSbUvXS385MHgs90AMH52B7HGvsjL9xxp8BPuciqLwIWVSKUEbCeRFZ4WzkjOdeuNSmis4OT0_zybn4dpFdbMHhcBaGwip729_Z9NZa9znjXpvjejYb_6AAeknLT9I6NuIRPBYZlxTXt3_3J84DMXMyEHxT9eHXZhvkta6rnsaT78cp_9fi9Kw2a1RZ6O66QBy78rV3fy1Exy_geY8g2UHXyZew5Re78HS6oV9d78IOQciOgfkV_Dxglblhy8CwButYlH3J0Oahm9xczhnC1rao7shfWUVnnhixb8zJI2e0VcvK5bWtbplDr3e5QnGKLH0N58dHZ4eTqL9QIXK8yJsoBJEGJQtToKMnjJdGucykQRbSZu1tVOjsFZLnKhXO2dykBX3S0iOmcjaR_A1sL5YL_xaYL02ibMxRthS5DTYzxipqBP0ZYeIRxIMmtevZxunSi0oPYWVXGpWvSfk65hqVP4IvG5G6o9p4qLIYhkffmy8al4KHxPbuDeXmRYhUZCYSNYKjdmw3Bd6jvg2OgP6luVEJPm4xtW1yM6M8TDUmREqJJrikL5v5u__r3yd4MjmbnuiTr6ff38POsIEdJx9gu1ld-4-IgBq7187w31aPAck
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=A+law+of+the+iterated+logarithm+for+the+product+limit+estimator+with+doubly+censored+data&rft.jtitle=Statistics+%26+probability+letters&rft.au=Messaci%2C+Fatiha&rft.au=Nemouchi%2C+Nahima&rft.date=2011-08-01&rft.issn=0167-7152&rft.volume=81&rft.issue=8&rft.spage=1241&rft.epage=1244&rft_id=info:doi/10.1016%2Fj.spl.2011.03.023&rft.externalDBID=n%2Fa&rft.externalDocID=10_1016_j_spl_2011_03_023
thumbnail_l	http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/lc.gif&issn=0167-7152&client=summon
thumbnail_m	http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/mc.gif&issn=0167-7152&client=summon
thumbnail_s	http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/sc.gif&issn=0167-7152&client=summon