Advances and Applications in Statistics

The Advances and Applications in Statistics is an internationally recognized journal indexed in the Emerging Sources Citation Index (ESCI). It provides a platform for original research papers and survey articles in all areas of statistics, both computational and experimental in nature.

Submit Article

BAYESIAN ESTIMATION OF WEIBULL-G-WEIBULL DISTRIBUTION FOR CENSORED DATA USING M-H ALGORITHM

Authors

  • P. Shanmuga Sundaram
  • R. K. Radha
  • P. Venkatesan

Keywords:

Weibull-G-Weibull distribution, right censoring, Bayesian estimation, M-H algorithm, SELF, LINEX

DOI:

https://doi.org/10.17654/0972361724058

Abstract

The main objective of this paper is to estimate the parameters of Weibull-G-Weibull distribution using the Bayesian approach for Type I and Type II censoring based on the Metropolis-Hastings (M-H) algorithm. Comparison is made through the SELF and LINEX loss functions. It is found that for scale parameter $\theta$ and shape parameter $\gamma$, the SELF loss function performs better, while for the shape parameters $\alpha$ and $\beta$, the LINEX loss function performs better for fixed time and censorship percentages.

Received: March 14, 2024
Accepted: June 11, 2024

References

Z. Ahmad, M. Elgarhy and G. G. Hamedani, A new Weibull-X family of distributions: properties, characterizations and applications, Journal of Statistical Distributions and Applications 5(5) (2018), 1-18.

P. Bidyuk, V. Beglytsia and Kalinina I. Gozhyj, Using the Metropolis-Hastings algorithm in Bayesian data analysis procedures, IEEE 14th International Conference on Computer Sciences and Information Technologies 2019, pp. 98-101.

M. Bourguignon, R. B. Silva and G. M. Cordeiro, The Weibull-G family of probability distributions, Journal of Data Science 12 (2022), 53-68.

C. Chesneau and T. El Achi, Modified odd Weibull family of distributions: properties and applications, Journal of the Indian Society for Probability and Statistics 21 (2020), 259-286.

W. K. Hastings, Monte Carlo sampling methods using Markov chains and their applications, Biometrika 57(1) (1970), 97-109.

J. F. Lawless, Statistical models and methods for lifetime data, Wiley Series in Probability and Statistics, 2002.

F. Li, S. Wei and M. Zhao, Bayesian estimation of a new Pareto-type distribution based on mixed Gibbs sampling algorithm, Mathematics 12 (2024), 1-18.

K. Liu and Y. Zhang, The E-Bayesian estimation for Lomax distribution based on generalized Type-I hybrid censoring scheme, Math. Probl. Eng. Volume 2021, Article ID 5570320, 19 pages.

R: Veterans Administration Lung Cancer Study. Available at:

https://stat.ethz.ch/R-manual/R-devel/library/survival/html/veteran.html.

R. K. Radha and P. Venkatesan, Bayes estimator as a function of some classical estimator for power function distribution, International Journal of Statistics and Analysis 3 (2013), 105-109.

R. K. Radha, Bayes estimation of exponential distribution using type I censored data under squared error loss function, International Journal of Multidisciplinary Research Review 1(32) (2017), 25-27.

E. F. Saraiva and A. K. Suzuki, Bayesian computational methods for estimation of two-parameters Weibull distribution in presence of right-censored data, Chilean Journal of Statistics 8(2) (2017), 25-43.

M. H. Tahir, M. Zubair, M. Mansoor and G. M. Cordeiro, A new Weibull-G family of distributions, Hacet. J. Math. Stat. 45(2) (2016), 629-647.

Tanmay Kayal, Y. M. Triathi, Debasis Kundu and Manoj Kumar Rastogi, Statistical inference of Chen distribution based on type I progressive hybrid censored samples, Stat. Optim. Inf. Comput. 10(2) (2022), 627-642.

K. Zografos and N. Balakrishnan, On families of beta- and generalized gamma-generated distributions and associated inference, Stat. Methodol. 6(4) (2009), 344-362.

Published

04-07-2024

Issue

Section

Articles

How to Cite

BAYESIAN ESTIMATION OF WEIBULL-G-WEIBULL DISTRIBUTION FOR CENSORED DATA USING M-H ALGORITHM. (2024). Advances and Applications in Statistics , 91(9), 1095-1112. https://doi.org/10.17654/0972361724058

Similar Articles

1-10 of 150

You may also start an advanced similarity search for this article.