2013Journal of Yangtze UniversityRequires access

The Properties of Gamma Distribution with Location Parameter

Kaican Li

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Abstract

It is devoted to the characteristic function and parameter estimation of gamma distribution,including the moment estimation of three parameters and the maximum likelihood estimation of scale parameter when shape parameter and location parameter are known,it is found that the maximum likelihood estimation is unbiased and effective.It also researches the Pearson-χ2 distance and the Kullback-Leibler distance of two gamma distribution.

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What this paper is about

It is devoted to the characteristic function and parameter estimation of gamma distribution,including the moment estimation of three parameters and the maximum likelihood estimation of scale parameter when shape parameter and location parameter are known,it is found that the maximum likelihood estimation is unbiased and effective.It also researches the Pearson-χ2 distance and the Kullback-Leibler distance of two gamma distribution.

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Available abstract

It is devoted to the characteristic function and parameter estimation of gamma distribution,including the moment estimation of three parameters and the maximum likelihood estimation of scale parameter when shape parameter and location parameter are known,it is found that the maximum likelihood estimation is unbiased and effective.It also researches the Pearson-χ2 distance and the Kullback-Leibler distance of two gamma distribution.

Key concepts: Gamma distribution, Scale parameter, Generalized gamma distribution, Estimation theory, Mathematics, Maximum likelihood, Inverse-gamma distribution, Location parameter

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