Two-stage and sequential procedures for estimation of powers of parameter of a family of distributions. Issue 2 (2nd June 2021)

• Record Type: Journal Article
• Authors: Chaturvedi, Ajit; Bapat, Sudeep R.; Joshi, Neeraj
• Is Part Of: Sequential analysis. Volume 40:Issue 2(2021)
• Page Start: 170
• Page End: 197
• Publication Date: 2021-06-02
• Subjects: Bounded risk -- confidence interval estimation -- generalized positive exponential family -- minimum risk -- point estimation; 62L10 -- 62N05; Sequential analysis -- Periodicals; 519.54
• DOI: 10.1080/07474946.2021.1912510
• Languages: English
• ISSNs: 0747-4946

Abstract

Abstract: For the generalized positive exponential family of distributions, the problems of confidence interval estimation, bounded risk point estimation, and minimum risk point estimation of the r th power of unknown parameter θ are handled. Two-stage and purely sequential methodologies are developed for the estimation purpose. Sequential procedures are developed based on the maximum likelihood estimator (MLE) of the parameter. The exact operating characteristics of these procedures are given.