ScholarLens Back to search
2009•Jilin Normal University JournalRequires access

Investigation of Estimator problem for Karl-pearson Coefficient of Variance from Bayes Frame

Zhang Hong-gang

Open publisher page 0 citations

Abstract

In this paper,we dealt with the Bayesian estimation problem for Karl-Pearson coefficient of variance about Poisson distribution,given the Poisson random sample X1,X2,…,Xn,we obtained the exact form of Bayes estimator and discussed the admissibility of it,using the p,q symmetric loss L(θ,δ)=(θ,δ)p+(δ/θ)q-2,p,q∈Z+.Finally,we investigated the maximal posterior interval estimation of coefficient of variance about Poisson distribution.

About this research paper

What this paper is about

In this paper,we dealt with the Bayesian estimation problem for Karl-Pearson coefficient of variance about Poisson distribution,given the Poisson random sample X1,X2,…,Xn,we obtained the exact form of Bayes estimator and discussed the admissibility of it,using the p,q symmetric loss L(θ,δ)=(θ,δ)p+(δ/θ)q-2,p,q∈Z+.Finally,we investigated the maximal posterior interval estimation of coefficient of variance about Poisson distribution.

Why it matters

A significance statement is not available in the OpenAlex record.

Key contribution

A contribution statement is not available in the OpenAlex record.

Method / approach

Method details are not available in the OpenAlex metadata.

Main findings

Findings are not separately available in the OpenAlex metadata.

Limitations

Limitations are not available in the OpenAlex metadata.

Applications

Application details are not available in the OpenAlex metadata.

Available abstract

In this paper,we dealt with the Bayesian estimation problem for Karl-Pearson coefficient of variance about Poisson distribution,given the Poisson random sample X1,X2,…,Xn,we obtained the exact form of Bayes estimator and discussed the admissibility of it,using the p,q symmetric loss L(θ,δ)=(θ,δ)p+(δ/θ)q-2,p,q∈Z+.Finally,we investigated the maximal posterior interval estimation of coefficient of variance about Poisson distribution.

Key concepts: Mathematics, Poisson distribution, Statistics, Bayes estimator, Estimator, Bayes' theorem, Variance (accounting), Sample variance

Related papers

Related paper 1Related paper 2Related paper 3
Back to paper searchBrowse research topicsOriginal source
Investigation of Estimator problem for Karl-pearson Coefficient of Variance from Bayes Frame — Research Paper | ScholarLens