Bounded risk estimation of the hazard rate function of the exponential distribution: Two-stage procedure. Issue 1 (2nd January 2017)

• Record Type: Journal Article
• Authors: Mahmoudi, Eisa; Lalehzari, Reihaneh
• Is Part Of: Sequential analysis. Volume 36:Issue 1(2017)
• Page Start: 38
• Page End: 54
• Publication Date: 2017-01-02
• Subjects: Bounded risk estimation -- exact distribution -- exponential distribution -- hazard rate function -- sequential estimation -- stopping variables -- two-stage procedure; 62L15 -- 60G40 -- 62F12 -- 62F15; Sequential analysis -- Periodicals; 519.54
• DOI: 10.1080/07474946.2016.1275410
• Languages: English
• ISSNs: 0747-4946

Abstract

ABSTRACT: In this article, we consider sequential point estimation of hazard rate function of an exponential distribution ( ) subject to the risk function given as, where 0< A <∞ and ω >0 are known constants. We provide explicit formulas for the distribution of the total sample size, N m, and of the expected value and risk of the estimator of the hazard rate function of the exponential distribution. In addition, we propose how to determine the parameter K ( = K ( m, A )) of the stopping variable N m so that the risk is uniformly bounded by ω . In the end, the performances of the proposed methodology are investigated with the help of simulations and two applied examples.