A MODIFIED CLASS OF DUAL TO RATIO-TYPE ESTIMATORS FOR ESTIMATING THE POPULATION VARIANCE UNDER SIMPLE RANDOM SAMPLING SCHEME AND ITS APPLICATION TO REAL DATA
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Published:2022-09-30
Issue:3
Volume:22
Page:593-604
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ISSN:2068-3049
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Container-title:Journal of Science and Arts
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language:en
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Short-container-title:J. Sci. Arts
Author:
RIYAZ SABA1, JAN RAFIA1, MAQBOOL SHOWKAT2, RATHER KHALID UL ISLAM3, JAN T. R.1
Affiliation:
1. University of Kashmir, Department of Statistics, 190006 Srinagar, India. 2. Sher-e-Kashmir University of Agricultural Sciences and Technology - Kashmir, Division of AGB, 191202 Srinagar, India. 3. Sher-e-Kashmir University of Agricultural Sciences and Technology - Jammu, Main Campus SKUAST-J, Division of Statistics and Computer Science, 180009 Chatha Jammu, India.
Abstract
This work is an extension to the work of [1] on ratio estimators of variance, by modification using dual to ratio method. The consistency conditions, bias, mean square error, optimum mean square error and efficiency have been derived and its performance is illustrated using natural populations. It is observed that the proposed class of estimators is most efficient at its optimum value, due to highest percent relative efficiency generated by it, when compared to the usual unbiased estimator for variance.
Publisher
Valahia University of Targoviste - Journal of Science and Arts
Subject
General Earth and Planetary Sciences,General Environmental Science
Reference20 articles.
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