Marshall Olkin Exponential Power Distribution and its Generalization : Theory and Applications

By : K. K. Jose, Albin Paul

Page No: 1-29

Abstract
In this paper we introduce a new family of distributions namely Marshall Olkin Exponential Power (MOEP) distribution and its extensions. The advantage of studying this new family of distributions is the wide use of the model with respect to various data sets obtained from different areas. Some statistical and reliability properties of the new family of distributions are discussed. The method of maximum likelihood estimation is used to estimate the unknown parameters. The obtained results are validated using some real data set and it is shown that the new family provides a better fit than its base distributions. The stress strength reliability analysis is also carried out. Average mean square error, average confidence length, coverage probability etc. are computed using simulated data. Using the proposed model we develop autoregressive process with minification structure. We further extend the new distribution to obtain the Harris generalized exponential power distribution and some of its properties are studied.

In this paper we introduce a new family of distributions namely Marshall Olkin Exponential Power (MOEP) distribution and its extensions. The advantage of studying this new family of distributions is the wide use of the model with respect to various data sets obtained from different areas. Some statistical and reliability properties of the new family of distributions are discussed. The method of maximum likelihood estimation is used to estimate the unknown parameters. The obtained results are validated using some real data set and it is shown that the new family provides a better fit than its base distributions. The stress strength reliability analysis is also carried out. Average mean square error, average confidence length, coverage probability etc. are computed using simulated data. Using the proposed model we develop autoregressive process with minification structure. We further extend the new distribution to obtain the Harris generalized exponential power distribution and some of its properties are studied.

Authors :
K.K. Jose
Department of Statistics and Biostatistics, St. Thomas College Pala, Arunapuram.

Albin Paul
Mahatma Gandhi University, Kottayam, Kerala, India.

DOI: DOI- https://doi.org/10.32381/IAPQRT.2018.43.01.1