A bayesian via laplace approximation on log-gamma model with censored data

Log-gamma distribution is the extension of gamma distribution which is more flexible, versatile and provides a great fit to some skewed and censored data. Problem/Objective: In this paper we introduce a solution to closed forms of its survival function of the model which shows the suitability and fl...

Full description

Bibliographic Details
Main Authors: Yusuf, Madaki Umar, Abu Bakar, Mohd Rizam, Husain, Qasim Nasir, Ibrahim, Noor Akma, Arasan, Jayanthi
Format: Article
Language:English
Published: Canadian Center of Science and Education 2016
Online Access:http://psasir.upm.edu.my/id/eprint/54806/
http://psasir.upm.edu.my/id/eprint/54806/1/A%20Bayesian%20via%20Laplace%20Approximation%20on%20Log-gamma%20Model%20with.pdf
_version_ 1848852634375553024
author Yusuf, Madaki Umar
Abu Bakar, Mohd Rizam
Husain, Qasim Nasir
Ibrahim, Noor Akma
Arasan, Jayanthi
author_facet Yusuf, Madaki Umar
Abu Bakar, Mohd Rizam
Husain, Qasim Nasir
Ibrahim, Noor Akma
Arasan, Jayanthi
author_sort Yusuf, Madaki Umar
building UPM Institutional Repository
collection Online Access
description Log-gamma distribution is the extension of gamma distribution which is more flexible, versatile and provides a great fit to some skewed and censored data. Problem/Objective: In this paper we introduce a solution to closed forms of its survival function of the model which shows the suitability and flexibility towards modelling real life data. Methods/Analysis: Alternatively, Bayesian estimation by MCMC simulation using the Random-walk Metropolis algorithm was applied, using AIC and BIC comparison makes it the smallest and great choice for fitting the survival models and simulations by Markov Chain Monte Carlo Methods. Findings/Conclusion: It shows that this procedure and methods are better option in modelling Bayesian regression and survival/reliability analysis integrations in applied statistics, which based on the comparison criterion log-gamma model have the least values. However, the results of the censored data have been clarified with the simulation results.
first_indexed 2025-11-15T10:41:12Z
format Article
id upm-54806
institution Universiti Putra Malaysia
institution_category Local University
language English
last_indexed 2025-11-15T10:41:12Z
publishDate 2016
publisher Canadian Center of Science and Education
recordtype eprints
repository_type Digital Repository
spelling upm-548062018-04-04T04:55:44Z http://psasir.upm.edu.my/id/eprint/54806/ A bayesian via laplace approximation on log-gamma model with censored data Yusuf, Madaki Umar Abu Bakar, Mohd Rizam Husain, Qasim Nasir Ibrahim, Noor Akma Arasan, Jayanthi Log-gamma distribution is the extension of gamma distribution which is more flexible, versatile and provides a great fit to some skewed and censored data. Problem/Objective: In this paper we introduce a solution to closed forms of its survival function of the model which shows the suitability and flexibility towards modelling real life data. Methods/Analysis: Alternatively, Bayesian estimation by MCMC simulation using the Random-walk Metropolis algorithm was applied, using AIC and BIC comparison makes it the smallest and great choice for fitting the survival models and simulations by Markov Chain Monte Carlo Methods. Findings/Conclusion: It shows that this procedure and methods are better option in modelling Bayesian regression and survival/reliability analysis integrations in applied statistics, which based on the comparison criterion log-gamma model have the least values. However, the results of the censored data have been clarified with the simulation results. Canadian Center of Science and Education 2016 Article PeerReviewed text en http://psasir.upm.edu.my/id/eprint/54806/1/A%20Bayesian%20via%20Laplace%20Approximation%20on%20Log-gamma%20Model%20with.pdf Yusuf, Madaki Umar and Abu Bakar, Mohd Rizam and Husain, Qasim Nasir and Ibrahim, Noor Akma and Arasan, Jayanthi (2016) A bayesian via laplace approximation on log-gamma model with censored data. Modern Applied Science, 11 (1). 14 - 23. ISSN 1913-1844; ESSN: 1913-1852 10.5539/mas.v11n1p14
spellingShingle Yusuf, Madaki Umar
Abu Bakar, Mohd Rizam
Husain, Qasim Nasir
Ibrahim, Noor Akma
Arasan, Jayanthi
A bayesian via laplace approximation on log-gamma model with censored data
title A bayesian via laplace approximation on log-gamma model with censored data
title_full A bayesian via laplace approximation on log-gamma model with censored data
title_fullStr A bayesian via laplace approximation on log-gamma model with censored data
title_full_unstemmed A bayesian via laplace approximation on log-gamma model with censored data
title_short A bayesian via laplace approximation on log-gamma model with censored data
title_sort bayesian via laplace approximation on log-gamma model with censored data
url http://psasir.upm.edu.my/id/eprint/54806/
http://psasir.upm.edu.my/id/eprint/54806/
http://psasir.upm.edu.my/id/eprint/54806/1/A%20Bayesian%20via%20Laplace%20Approximation%20on%20Log-gamma%20Model%20with.pdf