On Estimating the Parameters of an Extended Form of Logarithmic Series Distribution

- Journal title : Communications for Statistical Applications and Methods
- Volume 20, Issue 5, 2013, pp.417-425
- Publisher : The Korean Statistical Society
- DOI : 10.5351/CSAM.2013.20.5.417

Title & Authors

On Estimating the Parameters of an Extended Form of Logarithmic Series Distribution

Kumar, C. Satheesh; Riyaza, A.;

Kumar, C. Satheesh; Riyaza, A.;

Abstract

We consider an extended version of a logarithmic series distribution and discuss the estimation of its parameters by the method of moments and the method of maximum likelihood. Test procedures are suggested to test the significance of the additional parameter of this distribution and all procedures are illustrated with the help of real life data sets. In addition, a simulation study is conducted to assess the performance of the estimators.

Keywords

Generalized likelihood ratio test;logarithmic series distribution;maximum likelihood estimation;probability generating function;Rao's score test;

Language

English

Cited by

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