Multi-stage point estimation of the mean of an inverse Gaussian distribution. Issue 1 (2nd January 2019)

• Record Type: Journal Article
• Authors: Chaturvedi, Ajit; Bapat, Sudeep R.; Joshi, Neeraj
• Is Part Of: Sequential analysis. Volume 38:Issue 1(2019)
• Page Start: 1
• Page End: 25
• Publication Date: 2019-01-02
• Subjects: Accelerated sequential procedure -- bounded risk -- fatigue life -- inverse Gaussian -- minimum risk -- point estimation -- second-order approximations -- three-stage procedure -- two-stage procedure; 62L12 -- 62L05 -- 62F12 -- 62P30; Sequential analysis -- Periodicals; 519.54
• DOI: 10.1080/07474946.2019.1574438
• Languages: English
• ISSNs: 0747-4946

Abstract

Abstract: In this article, we develop two-stage, three-stage, and accelerated sequential procedures for the point estimation of the mean μ of an inverse Gaussian distribution when the scale parameter λ is unknown. Both minimum risk and bounded risk estimation problems are considered subject to a weighted squared error loss function. We aim at controlling the associated risk functions for all three procedures. Second-order approximations are obtained for the proposed procedures.