Reliability estimation for Kumaraswamy distribution under block progressive type-II censoring

Abstract

In this article, estimates of reliability performance characteristics are discussed when life test is conducted upon various test facilities under block progressive type-II censoring. When the differences in different test facilities are taken into account and lifetime of products follows a distribution with Kumaraswamy hazard function, different estimates are obtained from classical and hierarchical Bayesian frameworks, respectively. The existence and uniqueness of maximum likelihood estimators of model parameters are established, and approximate confidence intervals are obtained as well based on asymptotic theory and delta method. Moreover, associated Bayes estimators are also evaluated using a hybrid Metropolis–Hasting sampling in hierarchical framework. Finally, performances of the proposed approaches are compared via extensive simulation study, and two real data examples are also presented for application viewpoint.

Keywords:

• Kumaraswamy distribution
• hierarchical model
• reliability performances
• differences in different test facilities
• block progressive type-II censoring

Acknowledgements

We thank the editor and the reviewers for their insight comments which have led to substantial improvement in the manuscript.

Disclosure statement

No potential conflict of interest was reported by the author(s).

Additional information

Funding

The research work of Yogesh Mani Tripathi is partially financially supported under a grant MTR/2022/000183 by the Science and Engineering Research Board, India. This work by Liang Wang is supported by the National Natural Science Foundation of China [grant number 12061091], the Yunnan Fundamental Research Projects [grant number 202101AT070103].