Estimation based on the winsorized mean in the geometric distribution

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