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Estimation based on the winsorized mean in the geometric distribution 

Authors: F. Loacutepez-Blaacutezquez a; B. Salamanca-Mintildeo a
Affiliation:   a Universidad de Sevilla, Spain
DOI: 10.1080/02331880108802725
Publication Frequency: 6 issues per year
Published in: journal Statistics, Volume 35, Issue 1 2000 , pages 81 - 95
Formats available: PDF (English)
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Abstract

We give an expression in terms of the Meixner polynomials of the first kind for unbiased estimators of functions of the mean based on the Winsorized mean in a geometric distribution. We also study some properties me proposed estimators like their asymptotic behavior and bounds for the variance
Keywords: Meixner polynomials; Negative binomial distribution; Unbiased estimation; Order statistics
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