Asymptotically minimum variance unbiased estimation for a class of power series distributions
type: Item
instance of: scholarly article
title: Asymptotically minimum variance unbiased estimation for a class of power series distributions
zbMATH Open document ID: 0575.62034
DOI: 10.1007/BF02481095
published in: Annals of the Institute of Statistical Mathematics
publication date: 1985-01-01T00:00:00Z
review text: The problem of finding an asymptotically minimum variance unbiased estimator (A.M.V.U.E.) for the parameter of certain truncated power series distributions, is discussed, when the generating function of their coefficients are i) polynomials of binomial type ii) generalized ascending factorials iii) polynomials with coefficients, the well known Eulerian numbers.
Mathematics Subject Classification ID: 62F12
Mathematics Subject Classification ID: 62F10
zbMATH DE Number: 3919555
zbMATH Keywords: asymptotically minimum variance unbiased estimator
zbMATH Keywords: truncated power series distributions
zbMATH Keywords: generating function
zbMATH Keywords: polynomials of binomial type
zbMATH Keywords: generalized ascending factorials
zbMATH Keywords: Eulerian numbers
author: Andreas Kyriakoussis
MaRDI profile type: Publication
cites work: Central and local limit theorems for the coefficients of polynomials of binomial type
cites work: On minimum variance unbiased estimation for truncated binomial and negative binomial distributions
cites work: A New Kind of Numbers Appearing in the n-Fold Convolution of Truncated Binomial and Negative Binomial Distributions
cites work: Q5658108
cites work: Minimum Variance Unbiased Estimation and Certain Problems of Additive Number Theory
full work available at URL: https://doi.org/10.1007/bf02481095
OpenAlex ID: W2089549328
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description: scientific article; zbMATH DE number 3919555