Statistical inference for two exponential populations under joint progressive type-I censored scheme

ABSTRACT

In this article, we introduce a new scheme called joint progressive type-I (JPC-I) censored and as a special case, joint type-I censored scheme. Bayesian and non Bayesian estimators have been obtained for two exponential populations under both JPC-I censored scheme and joint type-I censored. The maximum likelihood estimators of the parameters, the asymptotic variance covariance matrix, have been obtained. Bayes estimators have been developed under squared error loss function using independent gamma prior distributions. Moreover, approximate confidence region based on the asymptotic normality of the maximum likelihood estimators and credible confidence region from a Bayesian viewpoint are also discussed and compared with two Bootstrap confidence regions. A numerical illustration for these new results is given.

KEYWORDS:

• Bayesian estimation
• Bootstrap intervals
• Confidence bounds
• Exponential distribution
• Joint progressive type-I censored scheme
• Joint type-I censored scheme
• Maximum likelihood estimation
• Squared error loss

MATHEMATICS SUBJECT CLASSIFICATION:

• 62N01
• 62N02

Acknowledgments

The authors express their sincere thanks to the Associate Editor and the anonymous reviewer for their constructive comments and suggestions on the original version of this manuscript, which led to this improved version.