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International Journal of Mathematical, Engineering and Management Sciences

ISSN: 2455-7749


Discrimination between Gamma and Rayleigh Models

Discrimination between Gamma and Rayleigh Models

M. S. Ravikumar
Department of Community Medicine, Konaseema Institute of Medical Sciences & Research Foundation/ General Hospital, Amalapuram-533201,Andhra Pradesh, India.

R. R. L. Kantam
Department of Statistics, Acharya Nagarjuna University, Nagarjunanagar-522510, Andhra Pradesh, India.

DOI https://dx.doi.org/10.33889/IJMEMS.2016.1.2-010

Received on June 01, 2016
  ;
Accepted on July 02, 2016

Abstract

The two popular life testing models are considered to verify whether one can be an alternative to other. The motivation for this study is as follows. It is well known that the cumulative distribution function of Rayleigh distribution can be analytically inverted where as it is not so with Gamma distribution. Generally analytical inversion of cumulative distribution function would be advantageous in the study of problems of inference. “Whether this advantage can be explored in assessing the discrimination or otherwise of the two models” is studied in this paper.

Keywords- Rayleigh distribution, Gamma distribution, Likelihood ratio criterion.

Citation

Ravikumar, M. S., & Kantam, R. R. L. (2016). Discrimination between Gamma and Rayleigh Models. International Journal of Mathematical, Engineering and Management Sciences, 1(2), 89-92. https://dx.doi.org/10.33889/IJMEMS.2016.1.2-010.

Conflict of Interest

Acknowledgements

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