Asymptotic Analysis of Method of Moments Estimators of Both Parameters for the Binomial Distribution: Theoretical Part

  • Salma Saad Department of Mathematics and Statistics, University of Regina, Regina, Saskatchewan, Canada
  • Shakhawat Hossain Department of Mathematics and Statistics, University of Winnipeg, Winnipeg, Canada
  • Andrei Volodin Department of Mathematics and Statistics, University of Winnipeg, Winnipeg, Canada
Keywords: Delta method, asymptotic normality, hypothesis testing, confidence sets

Abstract

Estimating the both unknown parameters m (number of trails) and  p (success probability) of the binomial distribution on the basis of fixed sample size n has been unsolved over the years. Many questions regarding asymptotic distribution for small or large sample properties of the estimatos have been ignored or have received inadequate treatment. The aim of this paper is to study the asymptotic properties of estimators for the binomial distribution by the method of moments. The asymptotic normality of the joint estimators is estiblished using the delta method.

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Published
2020-12-28
Section
Articles