Multistage Estimation of the Scale Parameter of Rayleigh Distribution with Simulation
Loading...
Date
11/22/2020
Journal Title
Journal ISSN
Volume Title
Type
Article
Publisher
MDPI
Series Info
Symmetry;2020, 12, 1925;
Scientific Journal Rankings
Abstract
This paper discusses the sequential estimation of the scale parameter of the Rayleigh
distribution using the three‐stage sequential sampling procedure proposed by Hall (Ann. Stat. 1981,
9, 1229–1238). Both point and confidence interval estimation are considered via a unified optimal
decision framework, which enables one to make the maximum use of the available data and, at the
same time, reduces the number of sampling operations by using bulk samples. The asymptotic
characteristics of the proposed sampling procedure are fully discussed for both point and
confidence interval estimation. Since the results are asymptotic, Monte Carlo simulation studies are
conducted to provide the feel of small, moderate, and large sample size performance in typical
situations using the Microsoft Developer Studio software. The procedure enjoys several interesting
asymptotic characteristics illustrated by the asymptotic results and supported by simulation.
Description
Keywords
October University for three‐stage procedure, loss function, asymptotic regret, coverage probability