Improved estimators of hazard rate from a selected exponential population

Brijesh Kumar Jha, Ajaya Kumar Mahapatra and Suchandan Kayal

Communications in Statistics - Theory and Methods, 2024, vol. 53, issue 13, 4927-4943

Abstract: Consider k(≥2) number of independent populations, following two parameter exponential distributions, sharing a common location parameter and unequal scale parameters. The location and scale parameters are assumed to be unknown. We focus into the study of estimation of the hazard rate of a selected population with respect to entropy loss function. Define Wi=Zi−Y, where Zi denotes the sample mean of the i-th sample and Y represents the minimum observation of all the samples, for i=1,…,k. We select the population with the largest Wi. In order to obtain improved estimator, Brewster-Zidek technique is implemented. Further, dominating estimators upon the improved ones are obtained using differential inequality approach. A numerical study of the risk improvements for the proposed estimators has been carried out.

Date: 2024
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DOI: 10.1080/03610926.2023.2198624

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