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Use of known Coefficients of Variation in the Estimation of the Common mean of two Normal Populations

โœ Scribed by Dr. P. V. Dabli

Publisher
John Wiley and Sons
Year
1981
Tongue
English
Weight
206 KB
Volume
23
Category
Article
ISSN
0323-3847

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โœฆ Synopsis

Abstract

The problem of estimating the common mean of two normal populations N(ฯ•, a1ฯ•2) and N(ฯ•, a2ฯ•2) where the coefficients of variation of two populations respectively, are known constants, on the basis of two independent random samples, one from each population, is considered. The minimum mean square estimator is proposed. It is also shown that the proposed estimator is Best Asymptotic Normal (BAN) estimator. It is pointed out that the result can be generalized to k population problem. It is remarked that the same method works, also for the problem of estimating the common standard deviation of k normal populations when coefficients of variation are known.

๐Ÿ“œ SIMILAR VOLUMES

On the Estimation of the Population Mean
On the Estimation of the Population Mean with Known Coefficient of Variation
โœ Dr. L. N. Upadhyaya; H. P. Singh ๐Ÿ“‚ Article ๐Ÿ“… 1984 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 285 KB ๐Ÿ‘ 1 views

For the estimation of population mean a class of estimators has been proposed when the coefficient of variation is known and its efficiency is compared with the usual unbiased estimator and the estimators suggested by various researchers. The properties of the proposed class of estimators have been