Title
Three-Stage Sequential Estimation Of The Inverse Coefficient Of Variation Of The Normal Distribution
Abstract
This paper sequentially estimates the inverse coefficient of variation of the normal distribution using Hall's three-stage procedure. We find theorems that facilitate finding a confidence interval for the inverse coefficient of variation that has pre-determined width and coverage probability. We also discuss the sensitivity of the constructed confidence interval to detect a possible shift in the inverse coefficient of variation. Finally, we find the asymptotic regret encountered in point estimation of the inverse coefficient of variation under the squared-error loss function with linear sampling cost. The asymptotic regret provides negative values, which indicate that the three-stage sampling does better than the optimal fixed sample size had the population inverse coefficient of variation been known.
Year
DOI
Venue
2019
10.3390/computation7040069
COMPUTATION
Keywords
DocType
Volume
inverse coefficient of variation, normal distribution, regret, squared-error loss function, three-stage procedure
Journal
7
Issue
Citations 
PageRank 
4
0
0.34
References 
Authors
0
2
Name
Order
Citations
PageRank
Ali Yousef101.01
Hosny I. Hamdy200.68