Statistical tests for the reciprocal of a normal mean with a known coefficient of variation
type: Item
instance of: scholarly article
title: Statistical tests for the reciprocal of a normal mean with a known coefficient of variation
zbMATH Open document ID: 1426.62078
DOI: 10.1155/2015/723924
author: Wararit Panichkitkosolkul
published in: Journal of Probability and Statistics
publication date: 2018-08-14T00:00:00Z
review text: Summary: An asymptotic test and an approximate test for the reciprocal of a normal mean with a known coefficient of variation were proposed in this paper. The asymptotic test was based on the expectation and variance of the estimator of the reciprocal of a normal mean. The approximate test used the approximate expectation and variance of the estimator by Taylor series expansion. A Monte Carlo simulation study was conducted to compare the performance of the two statistical tests. Simulation results showed that the two proposed tests performed well in terms of empirical type I errors and power. Nevertheless, the approximate test was easier to compute than the asymptotic test.
Mathematics Subject Classification ID: 62F03
Mathematics Subject Classification ID: 62F05
zbMATH DE Number: 6917500
Wikidata QID: Q59114239
describes a project that uses: R
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2015/723924
OpenAlex ID: W2161779497
cites work: Estimators without moments. The case of the reciprocal of a normal mean
cites work: Q3719611
cites work: Estimators for the inverse powers of a normal mean
cites work: Estimating the common parameter of normal models with known coefficients of variation: a sensitivity study of asymptotically efficient estimators
cites work: A Note on Estimating the Mean of a Normal Distribution with Known Coefficient of Variation
cites work: Improved estimators of the mean of a normal distribution with a known coefficient of variation
cites work: Generalized Confidence Intervals
description: scientific article; zbMATH DE number 6917500