Inference for Kumaraswamy Distribution under Generalized Progressive Hybrid Censoring

In this paper, generalized progressive hybrid censoring is discussed, while a scheme is designed to provide a flexible and symmetrical scenario to collect failure information in the whole life cycle of units. When the lifetime of units follows Kumaraswamy distribution, inference is investigated under classical and Bayesian approaches. The maximum likelihood estimates and associated existence and uniqueness properties are established and the confidence intervals for unknown parameters are provided by using a large sample size based on asymptotic theory. Moreover, the Bayes estimates along with highest probability density credible intervals are also developed through the Monte-Carlo Markov Chain sampling technique to approximate the associated posteriors. Simulation studies and a real-life example are presented for illustration purposes.

Automated summary

This paper discusses generalized progressive hybrid censoring and designs a scheme for collecting failure information throughout the entire life cycle of units. It investigates inference methods for units following Kumaraswamy distribution, including maximum likelihood estimates and Bayesian estimates. Simulation studies and a real-life example are presented for illustration purposes.