Stochastic Decompositions of Unbiased Estimators for Basic One-Parameter Distributions from the Exponential Family


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Abstract

Using the model of exponential family of distributions, we obtain asymptotic expansions for the unbiased estimators of a number of parametric functions that define the main characteristics of the Poisson, binomial, negative binomial, and gamma distributions.

About the authors

V. V. Chichagov

Perm State University

Author for correspondence.
Email: chichagov@psu.ru
Russian Federation, Perm

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