Statistical Inference of Left Truncated and Right Censored Data from Marshall–Olkin Bivariate Rayleigh Distribution

In this paper, statistical inference and prediction issue of left truncated and right censored dependent competing risk data are studied. When the latent lifetime is distributed by Marshall–Olkin bivariate Rayleigh distribution, the maximum likelihood estimates of unknown parameters are established,...

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Autores principales:	Ke Wu, Liang Wang, Li Yan, Yuhlong Lio
Formato:	article
Lenguaje:	EN
Publicado:	MDPI AG 2021
Materias:	left truncated and right censored dependent competing risk model Bayesian estimates order restriction prediction Mathematics QA1-939
Acceso en línea:	https://doaj.org/article/34f6de76be1c482bac4272531392ad3d
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spelling	oai:doaj.org-article:34f6de76be1c482bac4272531392ad3d2021-11-11T18:15:51ZStatistical Inference of Left Truncated and Right Censored Data from Marshall–Olkin Bivariate Rayleigh Distribution10.3390/math92127032227-7390https://doaj.org/article/34f6de76be1c482bac4272531392ad3d2021-10-01T00:00:00Zhttps://www.mdpi.com/2227-7390/9/21/2703https://doaj.org/toc/2227-7390In this paper, statistical inference and prediction issue of left truncated and right censored dependent competing risk data are studied. When the latent lifetime is distributed by Marshall–Olkin bivariate Rayleigh distribution, the maximum likelihood estimates of unknown parameters are established, and corresponding approximate confidence intervals are also constructed by using a Fisher information matrix and asymptotic approximate theory. Furthermore, Bayesian estimates and associated high posterior density credible intervals of unknown parameters are provided based on general flexible priors. In addition, when there is an order restriction between unknown parameters, the point and interval estimates based on classical and Bayesian frameworks are discussed too. Besides, the prediction issue of a censored sample is addressed based on both likelihood and Bayesian methods. Finally, extensive simulation studies are conducted to investigate the performance of the proposed methods, and two real-life examples are presented for illustration purposes.Ke WuLiang WangLi YanYuhlong LioMDPI AGarticleleft truncated and right censoreddependent competing risk modelBayesian estimatesorder restrictionpredictionMathematicsQA1-939ENMathematics, Vol 9, Iss 2703, p 2703 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	left truncated and right censored dependent competing risk model Bayesian estimates order restriction prediction Mathematics QA1-939
spellingShingle	left truncated and right censored dependent competing risk model Bayesian estimates order restriction prediction Mathematics QA1-939 Ke Wu Liang Wang Li Yan Yuhlong Lio Statistical Inference of Left Truncated and Right Censored Data from Marshall–Olkin Bivariate Rayleigh Distribution
description	In this paper, statistical inference and prediction issue of left truncated and right censored dependent competing risk data are studied. When the latent lifetime is distributed by Marshall–Olkin bivariate Rayleigh distribution, the maximum likelihood estimates of unknown parameters are established, and corresponding approximate confidence intervals are also constructed by using a Fisher information matrix and asymptotic approximate theory. Furthermore, Bayesian estimates and associated high posterior density credible intervals of unknown parameters are provided based on general flexible priors. In addition, when there is an order restriction between unknown parameters, the point and interval estimates based on classical and Bayesian frameworks are discussed too. Besides, the prediction issue of a censored sample is addressed based on both likelihood and Bayesian methods. Finally, extensive simulation studies are conducted to investigate the performance of the proposed methods, and two real-life examples are presented for illustration purposes.
format	article
author	Ke Wu Liang Wang Li Yan Yuhlong Lio
author_facet	Ke Wu Liang Wang Li Yan Yuhlong Lio
author_sort	Ke Wu
title	Statistical Inference of Left Truncated and Right Censored Data from Marshall–Olkin Bivariate Rayleigh Distribution
title_short	Statistical Inference of Left Truncated and Right Censored Data from Marshall–Olkin Bivariate Rayleigh Distribution
title_full	Statistical Inference of Left Truncated and Right Censored Data from Marshall–Olkin Bivariate Rayleigh Distribution
title_fullStr	Statistical Inference of Left Truncated and Right Censored Data from Marshall–Olkin Bivariate Rayleigh Distribution
title_full_unstemmed	Statistical Inference of Left Truncated and Right Censored Data from Marshall–Olkin Bivariate Rayleigh Distribution
title_sort	statistical inference of left truncated and right censored data from marshall–olkin bivariate rayleigh distribution
publisher	MDPI AG
publishDate	2021
url	https://doaj.org/article/34f6de76be1c482bac4272531392ad3d
work_keys_str_mv	AT kewu statisticalinferenceoflefttruncatedandrightcensoreddatafrommarshallolkinbivariaterayleighdistribution AT liangwang statisticalinferenceoflefttruncatedandrightcensoreddatafrommarshallolkinbivariaterayleighdistribution AT liyan statisticalinferenceoflefttruncatedandrightcensoreddatafrommarshallolkinbivariaterayleighdistribution AT yuhlonglio statisticalinferenceoflefttruncatedandrightcensoreddatafrommarshallolkinbivariaterayleighdistribution
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Statistical Inference of Left Truncated and Right Censored Data from Marshall–Olkin Bivariate Rayleigh Distribution

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