A Note on the Murthy-Sarma Estimators of the Mean of the Normal Distribution for Small Samples

Abstract Murthy and Sarma (Assam Statistical Review 12: 1–5, 1998) proposed and studied two biased estimators for the expectation of the normal distribution N ( μ , σ 2 ) when the coefficient of variation is known and is given by . Their estimators for small samples were found to be erroneous on account of a simplification and an analytical error. In this note, these errors are pointed out and corrected. For the corrected estimator the values of the relative efficiency for and sample size n = 2(1)25(5)100 are calculated and displayed in a table.

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Year of publication:	2003
Authors:	Anis, M. Z. ; Pandey, R. J.
Published in:	Stochastics and Quality Control. - Walter de Gruyter GmbH & Co. KG, ISSN 2367-2404, ZDB-ID 2905267-1. - Vol. 18.2003, 1, p. 83-90
Publisher:	Walter de Gruyter GmbH & Co. KG
Subject:	Biased Estimator \| Coefficient of Variation \| Relative Efficiency

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Type of publication:	Article
Type of publication (narrower categories):	research-article
Language:	English
Other identifiers:	10.1515/EQC.2003.83 [DOI]
Source:	Other ZBW resources

Persistent link: https://ebvufind01.dmz1.zbw.eu/10014590754