A New Extended Exponential Rayleigh Distribution: Estimation and Application

Dinesh Kumar; Omprakash Prajapati; Sultan Parveen; Abhijit Sahoo

doi:10.66721/r68zxp66

Authors

Dinesh Kumar Department of Statistics, Banaras Hindu University, Varanasi 221005, India Author
Omprakash Prajapati Department of Statistics, Banaras Hindu University, Varanasi 221005, India Author
Sultan Parveen Department of Mathematics and Statistics, Aliah University, Kolkata 700160, India Author
Abhijit Sahoo Department of Statistics, Banaras Hindu University, Varanasi 221005, India Author

DOI:

https://doi.org/10.66721/r68zxp66

Keywords:

Transformed-Transformer, Exponential distribution, Rayleigh distribution, Estimation, Simulation Study

Abstract

In the present paper, we have introduced a new extended exponential Rayleigh distribution with the help of the Transformed-Transformer technique using traditional exponential and Rayleigh distributions, and some important statistical properties of the newly developed distribution have been studied. In addition, the parameters of the distribution have been estimated through the maximum likelihood, least squares, and maximum product of spacing methods of estimation on the basis of complete samples of it. Two real data sets have been considered in order to show the applicability of the newly developed distribution to the real life problems.

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