On the 3-Component Mixture of Exponential, Rayleigh and Burr Type-XII Distributions: A Simulation Study in Bayesian Framework

On the 3-Component Mixture of Exponential, Rayleigh and Burr Type-XII Distributions: A Simulation Study in Bayesian Framework

This study aims at modeling a heterogeneous population assuming the 3-component mixture of Exponential, Rayleigh and Burr Type-XII distributions using type-I right censored data in Bayesian perspective. The censored sampling situation is considered due to its popularity in reliability theory and sur...

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Main Authors: Muhammad Tahir, Muhammad Aslam, Zawar Hussain, Akbar Ali Khan
Format: บทความวารสาร
Language:English
Published: Science Faculty of Chiang Mai University 2019
Online Access:http://it.science.cmu.ac.th/ejournal/dl.php?journal_id=8993
http://cmuir.cmu.ac.th/jspui/handle/6653943832/64100
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spelling th-cmuir.6653943832-641002019-05-07T09:59:47Z On the 3-Component Mixture of Exponential, Rayleigh and Burr Type-XII Distributions: A Simulation Study in Bayesian Framework Muhammad Tahir Muhammad Aslam Zawar Hussain Akbar Ali Khan This study aims at modeling a heterogeneous population assuming the 3-component mixture of Exponential, Rayleigh and Burr Type-XII distributions using type-I right censored data in Bayesian perspective. The censored sampling situation is considered due to its popularity in reliability theory and survival analysis. The elegant closed form expressions for the Bayes estimators and posterior risks using the non-informative (uniform and Jeffreys’) priors under squared error loss function are derived for censored data as well as for complete sample. In case when no or little prior information is available, elicitation of hyperparameters is given. Some mathematical expressions for different functions of survival time are also derived. To examine, numerically, the performance of the Bayes estimators, we have simulated their statistical properties under different scenarios. 2019-05-07T09:59:47Z 2019-05-07T09:59:47Z 2018 บทความวารสาร 0125-2526 http://it.science.cmu.ac.th/ejournal/dl.php?journal_id=8993 http://cmuir.cmu.ac.th/jspui/handle/6653943832/64100 Eng Science Faculty of Chiang Mai University
institution Chiang Mai University
building Chiang Mai University Library
country Thailand
collection CMU Intellectual Repository
language English
description This study aims at modeling a heterogeneous population assuming the 3-component mixture of Exponential, Rayleigh and Burr Type-XII distributions using type-I right censored data in Bayesian perspective. The censored sampling situation is considered due to its popularity in reliability theory and survival analysis. The elegant closed form expressions for the Bayes estimators and posterior risks using the non-informative (uniform and Jeffreys’) priors under squared error loss function are derived for censored data as well as for complete sample. In case when no or little prior information is available, elicitation of hyperparameters is given. Some mathematical expressions for different functions of survival time are also derived. To examine, numerically, the performance of the Bayes estimators, we have simulated their statistical properties under different scenarios.
format บทความวารสาร
author Muhammad Tahir
Muhammad Aslam
Zawar Hussain
Akbar Ali Khan
spellingShingle Muhammad Tahir
Muhammad Aslam
Zawar Hussain
Akbar Ali Khan
On the 3-Component Mixture of Exponential, Rayleigh and Burr Type-XII Distributions: A Simulation Study in Bayesian Framework
author_facet Muhammad Tahir
Muhammad Aslam
Zawar Hussain
Akbar Ali Khan
author_sort Muhammad Tahir
title On the 3-Component Mixture of Exponential, Rayleigh and Burr Type-XII Distributions: A Simulation Study in Bayesian Framework
title_short On the 3-Component Mixture of Exponential, Rayleigh and Burr Type-XII Distributions: A Simulation Study in Bayesian Framework
title_full On the 3-Component Mixture of Exponential, Rayleigh and Burr Type-XII Distributions: A Simulation Study in Bayesian Framework
title_fullStr On the 3-Component Mixture of Exponential, Rayleigh and Burr Type-XII Distributions: A Simulation Study in Bayesian Framework
title_full_unstemmed On the 3-Component Mixture of Exponential, Rayleigh and Burr Type-XII Distributions: A Simulation Study in Bayesian Framework
title_sort on the 3-component mixture of exponential, rayleigh and burr type-xii distributions: a simulation study in bayesian framework
publisher Science Faculty of Chiang Mai University
publishDate 2019
url http://it.science.cmu.ac.th/ejournal/dl.php?journal_id=8993
http://cmuir.cmu.ac.th/jspui/handle/6653943832/64100
_version_ 1681426018549628928

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