Three-stage minimum risk point estimation with termination defined via Gini's mean difference. Issue 1 (18th May 2022)

• Record Type: Journal Article
• Authors: Hu, Jun; Pham, Dinh Dong
• Is Part Of: Sequential analysis. Volume 41:Issue 1(2022)
• Page Start: 104
• Page End: 118
• Publication Date: 2022-05-18
• Subjects: Gini's mean difference -- minimum risk point estimation -- real data illustrations -- simulations -- three-stage sampling; 62L12 -- 62L05 -- 62L10; Sequential analysis -- Periodicals; 519.54
• DOI: 10.1080/07474946.2022.2043051
• Languages: English
• ISSNs: 0747-4946

Abstract

Abstract: In this article, we revisit the classic inference problem of minimum risk point estimation for an unknown normal mean when the variance also remains unknown. We propose an alternative three-stage sampling procedure with termination defined via Gini's mean difference rather than the traditional sample standard deviation. A number of asymptotic properties are investigated both theoretically and empirically. An extensive set of simulations is conducted to demonstrate the remarkable performance of the new procedure. For practical purposes, we also include illustrations using real data sets on the number of days marigold seeds need to flower.