Topp–Leone odd log-logistic exponential distribution: Its improved estimators and applications
Abstract In this paper, a new three-parameter lifetime model called the Topp–Leone odd log-logistic exponential distribution is proposed. Its density function can be expressed as a linear mixture of exponentiated exponential densities and can be reversed-J shaped, skewed to the left and to the right...
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| Published in | Anais da Academia Brasileira de Ciências Vol. 93; no. 4; p. e20190586 |
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| Main Authors | , , |
| Format | Journal Article |
| Language | English Portuguese |
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Academia Brasileira de Ciências
01.01.2021
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| Abstract | Abstract In this paper, a new three-parameter lifetime model called the Topp–Leone odd log-logistic exponential distribution is proposed. Its density function can be expressed as a linear mixture of exponentiated exponential densities and can be reversed-J shaped, skewed to the left and to the right. Further, the hazard rate function of the new model can be monotone, unimodal, constant, J-shaped, constant-increasing-decreasing and decreasing-increasing-decreasing and bathtub-shaped. Our main focus is on estimation from a frequentist point of view, yet, some statistical and reliability characteristics for the proposed model are derived. We briefly describe different estimators namely, the maximum likelihood estimators, ordinary least-squares estimators, weighted least-squares estimators, percentile estimators, maximum product of spacings estimators, Cramér-von-Mises minimum distance estimators, Anderson-Darling estimators and right-tail Anderson-Darling estimators. Monte Carlo simulations are performed to compare the performance of the proposed methods of estimation for both small and large samples. We illustrate the performance of the proposed distribution by means of two real data sets and both the data sets show the new distribution is more appropriate as compared to some other well-known distributions. |
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| AbstractList | Abstract In this paper, a new three-parameter lifetime model called the Topp–Leone odd log-logistic exponential distribution is proposed. Its density function can be expressed as a linear mixture of exponentiated exponential densities and can be reversed-J shaped, skewed to the left and to the right. Further, the hazard rate function of the new model can be monotone, unimodal, constant, J-shaped, constant-increasing-decreasing and decreasing-increasing-decreasing and bathtub-shaped. Our main focus is on estimation from a frequentist point of view, yet, some statistical and reliability characteristics for the proposed model are derived. We briefly describe different estimators namely, the maximum likelihood estimators, ordinary least-squares estimators, weighted least-squares estimators, percentile estimators, maximum product of spacings estimators, Cramér-von-Mises minimum distance estimators, Anderson-Darling estimators and right-tail Anderson-Darling estimators. Monte Carlo simulations are performed to compare the performance of the proposed methods of estimation for both small and large samples. We illustrate the performance of the proposed distribution by means of two real data sets and both the data sets show the new distribution is more appropriate as compared to some other well-known distributions. |
| Author | DEY, SANKU AL-MOFLEH, HAZEM AFIFY, AHMED Z. |
| AuthorAffiliation | Department of Statistics Department of Mathematics |
| AuthorAffiliation_xml | – name: Department of Statistics – name: Department of Mathematics |
| Author_xml | – sequence: 1 givenname: AHMED Z. orcidid: 0000-0002-6723-6785 surname: AFIFY fullname: AFIFY, AHMED Z. organization: Department of Statistics, Egypt – sequence: 2 givenname: HAZEM orcidid: 0000-0003-3430-2464 surname: AL-MOFLEH fullname: AL-MOFLEH, HAZEM organization: Department of Mathematics, Jordan – sequence: 3 givenname: SANKU orcidid: 0000-0001-8523-8189 surname: DEY fullname: DEY, SANKU organization: Department of Statistics, India |
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| Cites_doi | 10.1155/2016/8727951 10.1016/j.ress.2005.05.008 10.1080/03610918.2015.1118503 10.1080/00949655.2017.1351972 10.2991/jsta.2018.17.2.3 10.3390/math8010135 10.1080/02664763.2016.1268571 10.6339/JDS.201604_14(2).0004 10.1111/j.2517-6161.1971.tb00884.x 10.1080/03610918.2016.1267752 10.1080/03610926.2017.1414254 10.3390/math8081276 10.18187/pjsor.v16i1.3129 10.1080/03610926.2013.851221 10.1007/BF02602999 10.1080/00949658808811068 10.1016/S1568-4946(02)00059-5 10.1002/1521-4036(200102)43:1<117::AID-BIMJ117>3.0.CO;2-R 10.1080/00949650802552402 10.1016/j.spl.2009.05.026 10.1080/03610926.2015.1130839 10.1016/j.cam.2018.08.008 10.1016/j.cam.2017.12.001 |
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| Keywords | exponential distribution Bathtub failure rate simulation maximum likelihood skewed data |
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| References | LOUZADA F (ref19) 2016; 2016 MACDONALD P (ref20) 1971; 33 DEY S (ref12) 2017; 46 LEMONTE AJ (ref18) 2016; 50 BURNHAM KP (ref10) 2002; 45 CORDEIRO GM (ref11) 2019; 347 NASSAR M (ref24) 2018; 336 AFIFY AZ (ref6) 2018; 17 KHAN MS (ref16) 2017; 46 MAHDAVI A (ref21) 2017; 46 NASSAR M (ref25) 2020; 16 RODRIGUES GC (ref29) 2018; 45 XU K (ref31) 2003; 2 GUPTA RD (ref13) 2001; 43 JONES MC (ref14) 2004; 13 AFIFY AZ (ref2) 2016; 14 SWAIN J (ref30) 1988; 29 AFIFY AZ (ref4) 2020; 8 NADARAJAH S (ref23) 2006; 91 MANSOOR M (ref22) 2019; 48 KAO JHK (ref15) 1958; 13 BARRETO-SOUZA W (ref8) 2010; 80 BRITO E (ref9) 2017; 87 (ref27) 2019 AFIFY AZ (ref3) 2020; 8 AL-BABTAIN AA (ref7) 2021; 13 PINHO LG (ref26) 2015; 44 KUNDU D (ref17) 2009; 79 AFIFY AZ (ref1) 2017; 31 AFIFY AZ (ref5) 2019 RASEKHI M (ref28) 2017; 33 AFIFY, AZ; MOHAMED, OA 2020; 8 NASSAR, M; AFIFY, AZ; SHAKHATREH, M 2020; 16 GUPTA, RD; KUNDU, D 2001; 43 KHAN, MS; KING, R; HUDSON, IL 2017; 46 DEY, S; KUMAR, D; RAMOS, PL; LOUZADA, F 2017; 46 PINHO, LG 2015; 44 RASEKHI, M; ALIZADEH, M; ALTUN, E; HAMEDANI, GG; AFIFY, AZ; AHMAD, M 2017; 33 KUNDU, D; RAQAB, MZ 2009; 79 LEMONTE, AJ; CORDEIRO, GM; MORENO-ARENAS, G 2016; 50 MAHDAVI, A; KUNDU, D 2017; 46 RODRIGUES, GC; LOUZADA F, PL; RAMOS, PL 2018; 45 AFIFY, AZ; SUZUKI, AK; ZHANG, C; NASSAR, M 2019 CORDEIRO, GM; AFIFY, AZ; ORTEGA, EM; SUZUKI, AK; MEAD, ME 2019; 347 NADARAJAH, S; KOTZ, S 2006; 91 BRITO, E; CORDEIRO, GM; YOUSOF, HM; ALIZADEH, M; SILVA, GO 2017; 87 AFIFY, AZ; ZAYED, M; AHSANULLAH, M 2018; 17 MACDONALD, P 1971; 33 BARRETO-SOUZA, W; SANTOS, AH; CORDEIRO, GM 2010; 80 MANSOOR, M; TAHIR, MH; CORDEIRO, GM; PROVOST, SB; ALZAATREH, A 2019; 48 NASSAR, M; AFIFY, AZ; DEY, S; KUMAR, D 2018; 336 AFIFY, AZ; CORDEIRO, GM; BUTT, NS; ORTEGA, EM; SUZUKI, AK 2017; 31 AFIFY, AZ; CORDEIRO, GM; YOUSOF, HM; ALZAATREH, A; NOFAL, ZM 2016; 14 AL-BABTAIN, AA; ELBATAL, I; AL-MOFLEH, H; GEMEAY, AM; AFIFY, AZ; SARG, AM 2021; 13 KAO, JHK 1958; 13 JONES, MC 2004; 13 BURNHAM, KP; ANDERSON, DR 2002; 45 XU, K; XIE, M; TANG, LC; HO, SL 2003; 2 2019 AFIFY, AZ; GEMEAY, AM; IBRAHIM, NA 2020; 8 LOUZADA, F; RAMOS, PL; PERDONÁ, GS 2016; 2016 SWAIN, J; VENKATRAMAN, S; WILSON, J 1988; 29 |
| References_xml | – volume: 31 start-page: 516 year: 2017 ident: ref1 article-title: A new lifetime model with variable shapes for the hazard rate publication-title: Braz J Proba. Stat contributor: fullname: AFIFY AZ – volume: 2016 start-page: 1 year: 2016 ident: ref19 article-title: Different estimation procedures for the parameters of the extended exponential geometric distribution for medical data publication-title: Comput Math Methods Med doi: 10.1155/2016/8727951 contributor: fullname: LOUZADA F – volume: 91 start-page: 689 year: 2006 ident: ref23 article-title: The beta exponential distribution publication-title: Reliab Eng Syst Saf doi: 10.1016/j.ress.2005.05.008 contributor: fullname: NADARAJAH S – volume: 46 start-page: 4377 year: 2017 ident: ref16 article-title: Transmuted generalized exponential distribution: a generalization of the exponential distribution with applications to survival data publication-title: Commun Stat Simul Comput doi: 10.1080/03610918.2015.1118503 contributor: fullname: KHAN MS – volume: 87 start-page: 3040 year: 2017 ident: ref9 article-title: The Topp–Leone odd log-logistic family of distributions publication-title: J Stat Comput Simul doi: 10.1080/00949655.2017.1351972 contributor: fullname: BRITO E – volume: 17 start-page: 213 year: 2018 ident: ref6 article-title: The extended exponential distribution and its applications publication-title: J Stat Theory Appl doi: 10.2991/jsta.2018.17.2.3 contributor: fullname: AFIFY AZ – volume: 45 start-page: 394 year: 2002 ident: ref10 article-title: Model selection and multi-modal inference: a practical information-theoretic approach publication-title: J R Stat Soc Series B Stat Methodol contributor: fullname: BURNHAM KP – volume: 8 year: 2020 ident: ref4 article-title: A new three-parameter exponential distribution with variable shapes for the hazard rate: estimation and applications publication-title: Mathematics doi: 10.3390/math8010135 contributor: fullname: AFIFY AZ – volume: 13 start-page: 15 year: 1958 ident: ref15 article-title: Computer methods for estimating Weibull parameters in reliability studies publication-title: IRE Reliab Qual Contr contributor: fullname: KAO JHK – volume: 45 start-page: 128 year: 2018 ident: ref29 article-title: Poisson–exponential distribution: different methods of estimation publication-title: J Appl Stat doi: 10.1080/02664763.2016.1268571 contributor: fullname: RODRIGUES GC – volume: 14 start-page: 245 year: 2016 ident: ref2 article-title: The Kumaraswamy transmuted-G family of distributions: properties and applications publication-title: J Data Sci doi: 10.6339/JDS.201604_14(2).0004 contributor: fullname: AFIFY AZ – volume: 33 start-page: 326 year: 1971 ident: ref20 article-title: An estimation procedure for mixtures of distribution publication-title: J R Stat Soc Series B Stat Methodol doi: 10.1111/j.2517-6161.1971.tb00884.x contributor: fullname: MACDONALD P – volume: 46 start-page: 8118 year: 2017 ident: ref12 article-title: Exponentiated chen distribution: properties and estimation publication-title: Commun Stat Simul Comput doi: 10.1080/03610918.2016.1267752 contributor: fullname: DEY S – volume: 48 start-page: 220 year: 2019 ident: ref22 article-title: The Marshall-Olkin logistic-exponential distribution publication-title: Theory Methods doi: 10.1080/03610926.2017.1414254 contributor: fullname: MANSOOR M – volume: 8 year: 2020 ident: ref3 article-title: The heavy-tailed exponential distribution: risk measures, estimation, and application to actuarial data publication-title: Mathematics doi: 10.3390/math8081276 contributor: fullname: AFIFY AZ – volume: 50 start-page: 312 year: 2016 ident: ref18 article-title: A new useful three-parameter extension of the exponential distribution publication-title: Statistics contributor: fullname: LEMONTE AJ – volume: 13 year: 2021 ident: ref7 article-title: The flexible Burr X-G family: properties, inference, and applications in engineering science publication-title: Symmetry contributor: fullname: AL-BABTAIN AA – volume: 16 start-page: 149 year: 2020 ident: ref25 article-title: Estimation methods of alpha power exponential distribution with applications to engineering and medical data publication-title: Pakistan J Stat Oper Res doi: 10.18187/pjsor.v16i1.3129 contributor: fullname: NASSAR M – year: 2019 ident: ref27 – volume: 44 start-page: 3486 year: 2015 ident: ref26 article-title: The Harris extended exponential distribution publication-title: Commun Stat Theory Methods doi: 10.1080/03610926.2013.851221 contributor: fullname: PINHO LG – volume: 13 start-page: 1 year: 2004 ident: ref14 article-title: Families of distributions arising from distributions of order statistics publication-title: Test doi: 10.1007/BF02602999 contributor: fullname: JONES MC – volume: 29 start-page: 271 year: 1988 ident: ref30 article-title: Least squares estimation of distribution function in Johnsons translation system publication-title: J Stat Comput Simul doi: 10.1080/00949658808811068 contributor: fullname: SWAIN J – volume: 2 start-page: 255 year: 2003 ident: ref31 article-title: Application of neural networks in forecasting engine systems reliability publication-title: Appl Soft Comput doi: 10.1016/S1568-4946(02)00059-5 contributor: fullname: XU K – volume: 43 start-page: 117 year: 2001 ident: ref13 article-title: Exponentiated exponential family: an alternative to gamma and Weibull distributions publication-title: Biom J: J Math Meth Bio doi: 10.1002/1521-4036(200102)43:1<117::AID-BIMJ117>3.0.CO;2-R contributor: fullname: GUPTA RD – volume: 80 start-page: 159 year: 2010 ident: ref8 article-title: The beta generalized exponential distribution publication-title: J Stat Comput Simul doi: 10.1080/00949650802552402 contributor: fullname: BARRETO-SOUZA W – volume: 79 start-page: 1839 year: 2009 ident: ref17 article-title: Estimation of R = P(Y < X) for three parameter Weibull distribution publication-title: Stat Probab Lett doi: 10.1016/j.spl.2009.05.026 contributor: fullname: KUNDU D – volume: 46 start-page: 6543 year: 2017 ident: ref21 article-title: A new method for generating distributions with an application to exponential distribution publication-title: Commun Stat Theory Methods doi: 10.1080/03610926.2015.1130839 contributor: fullname: MAHDAVI A – year: 2019 ident: ref5 article-title: On three-parameter exponential distribution: properties, Bayesian and non-Bayesian estimation based on complete and censored samples publication-title: Commun Stat Simul Comput contributor: fullname: AFIFY AZ – volume: 347 start-page: 222 year: 2019 ident: ref11 article-title: The odd Lomax generator of distributions: properties, estimation and applications publication-title: J Comput Appl Math doi: 10.1016/j.cam.2018.08.008 contributor: fullname: CORDEIRO GM – volume: 336 start-page: 439 year: 2018 ident: ref24 article-title: A new extension of weibull distribution: properties and different methods of estimation publication-title: J Comput Appl Math doi: 10.1016/j.cam.2017.12.001 contributor: fullname: NASSAR M – volume: 33 start-page: 383 year: 2017 ident: ref28 article-title: The modified exponential distribution with applications publication-title: Pak J Stat contributor: fullname: RASEKHI M – volume: 13 start-page: 15 year: 1958 end-page: 22 article-title: Computer methods for estimating Weibull parameters in reliability studies publication-title: IRE Reliab Qual Contr contributor: fullname: KAO, JHK – volume: 46 start-page: 6543 year: 2017 end-page: 6557 article-title: A new method for generating distributions with an application to exponential distribution publication-title: Commun Stat Theory Methods contributor: fullname: MAHDAVI, A; KUNDU, D – volume: 45 start-page: 128 year: 2018 end-page: 144 article-title: Poisson–exponential distribution: different methods of estimation publication-title: J Appl Stat contributor: fullname: RODRIGUES, GC; LOUZADA F, PL; RAMOS, PL – volume: 91 start-page: 689 year: 2006 end-page: 697 article-title: The beta exponential distribution publication-title: Reliab Eng Syst Saf contributor: fullname: NADARAJAH, S; KOTZ, S – volume: 17 start-page: 213 year: 2018 end-page: 229 article-title: The extended exponential distribution and its applications publication-title: J Stat Theory Appl contributor: fullname: AFIFY, AZ; ZAYED, M; AHSANULLAH, M – volume: 46 start-page: 4377 year: 2017 end-page: 4398 article-title: Transmuted generalized exponential distribution: a generalization of the exponential distribution with applications to survival data publication-title: Commun Stat Simul Comput contributor: fullname: KHAN, MS; KING, R; HUDSON, IL – volume: 44 start-page: 3486 year: 2015 end-page: 3502 article-title: The Harris extended exponential distribution publication-title: Commun Stat Theory Methods contributor: fullname: PINHO, LG – volume: 13 year: 2021 article-title: The flexible Burr X-G family: properties, inference, and applications in engineering science publication-title: Symmetry contributor: fullname: AL-BABTAIN, AA; ELBATAL, I; AL-MOFLEH, H; GEMEAY, AM; AFIFY, AZ; SARG, AM – volume: 13 start-page: 1 year: 2004 end-page: 43 article-title: Families of distributions arising from distributions of order statistics publication-title: Test contributor: fullname: JONES, MC – volume: 31 start-page: 516 year: 2017 end-page: 541 article-title: A new lifetime model with variable shapes for the hazard rate publication-title: Braz J Proba. Stat contributor: fullname: AFIFY, AZ; CORDEIRO, GM; BUTT, NS; ORTEGA, EM; SUZUKI, AK – volume: 8 year: 2020 article-title: A new three-parameter exponential distribution with variable shapes for the hazard rate: estimation and applications publication-title: Mathematics contributor: fullname: AFIFY, AZ; MOHAMED, OA – year: 2019 publication-title: R: A Language and Environment for Statistical Computing. R Foundation for Statistical Computing: Vienna, Austria – volume: 2 start-page: 255 year: 2003 end-page: 268 article-title: Application of neural networks in forecasting engine systems reliability publication-title: Appl Soft Comput contributor: fullname: XU, K; XIE, M; TANG, LC; HO, SL – volume: 43 start-page: 117 year: 2001 end-page: 130 article-title: Exponentiated exponential family: an alternative to gamma and Weibull distributions publication-title: Biom J: J Math Meth Bio contributor: fullname: GUPTA, RD; KUNDU, D – volume: 347 start-page: 222 year: 2019 end-page: 237 article-title: The odd Lomax generator of distributions: properties, estimation and applications publication-title: J Comput Appl Math contributor: fullname: CORDEIRO, GM; AFIFY, AZ; ORTEGA, EM; SUZUKI, AK; MEAD, ME – volume: 50 start-page: 312 year: 2016 end-page: 337 article-title: A new useful three-parameter extension of the exponential distribution publication-title: Statistics contributor: fullname: LEMONTE, AJ; CORDEIRO, GM; MORENO-ARENAS, G – volume: 48 start-page: 220 year: 2019 end-page: 234 article-title: The Marshall-Olkin logistic-exponential distribution publication-title: Theory Methods contributor: fullname: MANSOOR, M; TAHIR, MH; CORDEIRO, GM; PROVOST, SB; ALZAATREH, A – volume: 46 start-page: 8118 year: 2017 end-page: 8139 article-title: Exponentiated chen distribution: properties and estimation publication-title: Commun Stat Simul Comput contributor: fullname: DEY, S; KUMAR, D; RAMOS, PL; LOUZADA, F – volume: 336 start-page: 439 year: 2018 end-page: 457 article-title: A new extension of weibull distribution: properties and different methods of estimation publication-title: J Comput Appl Math contributor: fullname: NASSAR, M; AFIFY, AZ; DEY, S; KUMAR, D – volume: 14 start-page: 245 year: 2016 end-page: 270 article-title: The Kumaraswamy transmuted-G family of distributions: properties and applications publication-title: J Data Sci contributor: fullname: AFIFY, AZ; CORDEIRO, GM; YOUSOF, HM; ALZAATREH, A; NOFAL, ZM – volume: 16 start-page: 149 year: 2020 end-page: 166 article-title: Estimation methods of alpha power exponential distribution with applications to engineering and medical data publication-title: Pakistan J Stat Oper Res contributor: fullname: NASSAR, M; AFIFY, AZ; SHAKHATREH, M – volume: 45 start-page: 394 year: 2002 end-page: 403 article-title: Model selection and multi-modal inference: a practical information-theoretic approach publication-title: J R Stat Soc Series B Stat Methodol contributor: fullname: BURNHAM, KP; ANDERSON, DR – volume: 87 start-page: 3040 year: 2017 end-page: 3058 article-title: The Topp–Leone odd log-logistic family of distributions publication-title: J Stat Comput Simul contributor: fullname: BRITO, E; CORDEIRO, GM; YOUSOF, HM; ALIZADEH, M; SILVA, GO – volume: 80 start-page: 159 year: 2010 end-page: 172 article-title: The beta generalized exponential distribution publication-title: J Stat Comput Simul contributor: fullname: BARRETO-SOUZA, W; SANTOS, AH; CORDEIRO, GM – year: 2019 article-title: On three-parameter exponential distribution: properties, Bayesian and non-Bayesian estimation based on complete and censored samples publication-title: Commun Stat Simul Comput contributor: fullname: AFIFY, AZ; SUZUKI, AK; ZHANG, C; NASSAR, M – volume: 8 year: 2020 article-title: The heavy-tailed exponential distribution: risk measures, estimation, and application to actuarial data publication-title: Mathematics contributor: fullname: AFIFY, AZ; GEMEAY, AM; IBRAHIM, NA – volume: 79 start-page: 1839 year: 2009 end-page: 1846 article-title: Estimation of R = P(Y < X) for three parameter Weibull distribution publication-title: Stat Probab Lett contributor: fullname: KUNDU, D; RAQAB, MZ – volume: 2016 start-page: 1 year: 2016 end-page: 12 article-title: Different estimation procedures for the parameters of the extended exponential geometric distribution for medical data publication-title: Comput Math Methods Med contributor: fullname: LOUZADA, F; RAMOS, PL; PERDONÁ, GS – volume: 33 start-page: 326 year: 1971 end-page: 329 article-title: An estimation procedure for mixtures of distribution publication-title: J R Stat Soc Series B Stat Methodol contributor: fullname: MACDONALD, P – volume: 29 start-page: 271 year: 1988 end-page: 297 article-title: Least squares estimation of distribution function in Johnsons translation system publication-title: J Stat Comput Simul contributor: fullname: SWAIN, J; VENKATRAMAN, S; WILSON, J – volume: 33 start-page: 383 year: 2017 end-page: 398 article-title: The modified exponential distribution with applications publication-title: Pak J Stat contributor: fullname: RASEKHI, M; ALIZADEH, M; ALTUN, E; HAMEDANI, GG; AFIFY, AZ; AHMAD, M |
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| Snippet | Abstract In this paper, a new three-parameter lifetime model called the Topp–Leone odd log-logistic exponential distribution is proposed. Its density function... |
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| SubjectTerms | Bathtub failure rate exponential distribution maximum likelihood MULTIDISCIPLINARY SCIENCES simulation skewed data |
| Title | Topp–Leone odd log-logistic exponential distribution: Its improved estimators and applications |
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