Open Access

ARTICLE

Extended Rama Distribution: Properties and Applications

by Khaldoon M. Alhyasat^1,*, Kamarulzaman Ibrahim¹, Amer Al-Omari², Mohd Aftar Abu Bakar¹

1 Department of Mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia, 43600 UKM, Bangi, Selangor, Malaysia
2 Department of Mathematics, Faculty of Science, Al al-Bayt University, Mafraq, Jordan

* Corresponding Author: Khaldoon M. Alhyasat. Email:

Computer Systems Science and Engineering 2021, 39(1), 55-67. https://doi.org/10.32604/csse.2021.014909

Received 26 October 2020; Accepted 05 February 2021; Issue published 10 June 2021

Abstract

In this paper, the Rama distribution (RD) is considered, and a new model called extended Rama distribution (ERD) is suggested. The new model involves the sum of two independent Rama distributed random variables. The probability density function (pdf) and cumulative distribution function (cdf) are obtained and analyzed. It is found that the new model is skewed to the right. Several mathematical and statistical properties are derived and proved. The properties studied include moments, coefficient of variation, coefficient of skewness, coefficient of kurtosis and moment generating function. Some simulations are undertaken to illustrate the behavior of these properties. In addition, the reliability analysis of the distribution is investigated through the hazard rate function, reversed hazard rate function and odds function. The parameter of the distribution is estimated based on the maximum likelihood method. The distributions of order statistics for ERD are also presented. The performance of the suggested model is compared with several other lifetime distributions based on some goodness of fit tests on a real dataset. It turns out that the suggested model is more flexible than its competitors considered in this study, for modeling real lifetime data.

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Keywords

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