On Estimation of Reliability Functions using Record values from Proportional Hazard Rate Model

Austrian Journal of Statistics

article

Ajit Chaturvedi¹  Ananya Malhotra¹ 

[1] University of Delhi

关键词: proportional hazard rate model;    records;    maximum likelihood estimator;    uniformlyminimum variance unbiased estimator;    Bayes estimator;    confidence intervals.;   

DOI  :  10.17713/ajs.v48i3.831

学科分类：医学（综合）

来源: Austrian Statistical Society

【 摘 要 】

Two measures of reliability functions, namely R (t) = P(X > t) and P = P(X < Y )have been studied based on record values from proportional hazard rate model (PHR)model. For estimation of P, we generalize the results of Basirat et al. (2016) when Xand Y belong to different family of distributions from PHR model. Uniformly minimumvariance unbiased estimator (UMVUE), maximum likelihood estimator (MLE) and Bayesestimator (BS) are obtained for the powers of the parameter and reliability functions.Simulation studies and a real data example have been presented for illustrative purposes.Asymptotic and exact confidence intervals of the parameters and reliability functions areconstructed. Testing procedures are also developed for various hypotheses.

【 授权许可】

CC BY