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Improved ratio estimators via modified maximum likelihood

Author(s)
Evrim Oral Biostatistics Program, Louisiana State University Health Sciences Centre, New Orleans, UNITED STATES
Cem Kadilar Department of Statistics, Hacettepe University, Ankara, TURKEY
Abstract
We consider ratio estimators in simple random sampling under data anomalies. We specifically focus on the situations where the error term is not normally distributed, and exploit Tiku’s modified maximum likelihood estimators in the ratio method of estimation. We derive the mean square errors of the proposed ratio estimators theoretically and obtain the conditions where the proposed ratio estimators have less mean square errors than the traditional ratio-type estimators. We support our theoretical results with two different real-life examples.
Publication Details
Page(s) 269-282
DOI DOI not available
Published Journal: Pakistan Journal of Statistics, Volume: 27, Issue: 3, Year: 2011

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