MODIFIED INVERSE GENERALIZED EXPONENTIAL DISTRIBUTION: MODEL AND PROPERTIES

Lal Babu Sah Telee; Vijay Kumar

doi:10.29121/granthaalayah.v11.i8.2023.5288

Authors

Lal Babu Sah Telee Assistant Professor, Department of Management Science, Nepal Commerce Campus, Tribhuvan University, Kathmandu, Nepal
Vijay Kumar Professor, Department of Mathematics and Statistics, Deen Dayal Upadhyaya, Gorakhpur University, Gorakhpur, India

DOI:

https://doi.org/10.29121/granthaalayah.v11.i8.2023.5288

Keywords:

Akaike’s Information, Estimation, Goodness of Fit, R- Programming, Survival Function

Abstract [English]

A three parameter continuous probability distribution Modified Inverse Generalized Exponential Distribution: Model and Properties, is introduced in this article. To study the properties of the introduced model, probability distribution, density, survival and hazard rate functions are introduced. A data of real life is used for checking the application. Some important methods of estimation are used for estimation of the constants. Model validation is checked using Akakie’s information, Bayesian Information, Corrected Akaike’s information and Hannan Qiunan Information Criteria as well as by plotting the P-P and Q-Q plots. For testing the goodness of fit Kolmogrov Smirnov test, Anderson darling test and Cramer-von Mises test are used. All the data analysis is performed using R-language programming.

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