Estimation and testing procedures for the reliability functions of a general class of distributions. Issue 22 (17th November 2017)

• Record Type: Journal Article
• Authors: Chaturvedi, Ajit; Kumari, Taruna
• Is Part Of: Communications in statistics. Volume 46:Issue 22(2017)
• Page Start: 11370
• Page End: 11382
• Publication Date: 2017-11-17
• Subjects: General class of distributions -- Point estimation -- Reliability functions -- Testing procedures -- UMVUES.; 62F03 -- 62F10; Mathematical statistics -- Periodicals; Mathematics; Statistics; 519.2
• DOI: 10.1080/03610926.2016.1267765
• Languages: English
• ISSNs: 0361-0926

Abstract

ABSTRACT: We consider here the general class of distributions proposed by Sankaran and Gupta (2005) by zeroing in on two measures of reliability, R(t) = P(X > t) and P = P(X > Y). Thereafter, we develop point estimation for R(t) and 'P' and develop uniformly minimum variance unbiased estimators (UMVUES). Then we derive testing procedures for the hypotheses related to different parametric functions. Finally, we compare the results using the Monte Carlo simulation method. Using real data set, we illustrate the procedure clearly.