Journal of Statistical Theory and Applications

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Volume 19, Issue 3, September 2020, Pages 368 - 382

On Examining Complex Systems Using the q-Weibull Distribution in Classical and Bayesian Paradigms

Authors
Nasir Abbas*, ORCID
Professor of Statistics, Government Postgraduate College, Jhang, Pakistan
Corresponding Author
Nasir Abbas
Received 1 June 2020, Accepted 24 August 2020, Available Online 3 September 2020.
DOI
10.2991/jsta.d.200825.001How to use a DOI?
Keywords
Bayesian analysis; MCMC simulations; ML estimation; Model selection criteria; Posterior estimates; q-Weibull distribution
Abstract

The q-Weibull distribution is a generalized form of the Weibull distribution and has potential to model complex systems and life time datasets. Bayesian inference is the modern statistical technique that can accommodate uncertainty associated with the model parameters in the form of prior distributions. This study presents Bayesian analysis of the q-Weibull distribution using uninformative and informative priors and the results are compared with those produced by the classical maximum likelihood (ML) and least-squares (LS) estimation methods. A simulation study is also made to compare the competing methods. Different model selection criteria and predicted datasets are considered to compare the inferential methods under study. Posterior analyses include evaluating posterior means, medians, credible intervals of highest density regions, and posterior predictive distributions. The entire analysis is carried out using Markov chain Monte Carlo (MCMC) setup using WinBUGS package. The Bayesian method has proved to be superior to its classical counterparts. A real dataset is used to illustrate the entire inferential procedure.

Copyright
© 2020 The Authors. Published by Atlantis Press B.V.
Open Access
This is an open access article distributed under the CC BY-NC 4.0 license (http://creativecommons.org/licenses/by-nc/4.0/).

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<Previous Article In Issue
Next Article In Issue>
Journal
Journal of Statistical Theory and Applications
Volume-Issue
19 - 3
Pages
368 - 382
Publication Date
2020/09/03
ISSN (Online)
2214-1766
ISSN (Print)
1538-7887
DOI
10.2991/jsta.d.200825.001How to use a DOI?
Copyright
© 2020 The Authors. Published by Atlantis Press B.V.
Open Access
This is an open access article distributed under the CC BY-NC 4.0 license (http://creativecommons.org/licenses/by-nc/4.0/).

Cite this article

risenwbib
TY  - JOUR
AU  - Nasir Abbas
PY  - 2020
DA  - 2020/09/03
TI  - On Examining Complex Systems Using the q-Weibull Distribution in Classical and Bayesian Paradigms
JO  - Journal of Statistical Theory and Applications
SP  - 368
EP  - 382
VL  - 19
IS  - 3
SN  - 2214-1766
UR  - https://doi.org/10.2991/jsta.d.200825.001
DO  - 10.2991/jsta.d.200825.001
ID  - Abbas2020
ER  -