Estimation based on the Winsorized mean in the geometric distribution

Authors
Lopez-Blazquez, F Salamanca-Mino, B
Citation
F. Lopez-blazquez et B. Salamanca-mino, Estimation based on the Winsorized mean in the geometric distribution, STATISTICS, 35(1), 2000, pp. 81-95
Citations number
9
Categorie Soggetti
Mathematics
Journal title
STATISTICS
ISSN journal
02331888 → ACNP
Volume
35
Issue
1
Year of publication
2000
Pages
81 - 95
Database
ISI
SICI code
0233-1888(2000)35:1<81:EBOTWM>2.0.ZU;2-H
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 m ean in a geometric distribution. We also study some properties of the propo sed estimators like their asymptotic behavior and bounds for the variance.