# On the Properties and Applications of Topp-Leone Kumaraswamy Inverse Exponential Distribution

## Keywords:

Biases, Incomplete moment,, Inverse exponential, Mean square error, Quantile function## Abstract

Communication in Physical Sciences, 2022, 8(4): 590- 603

Ismail Kolawole Adekunle, * Ibrahim Sule, Sani Ibrahim Doguwa and Abubakar Yahaya

Received: 08 November 2022/Accepted 22 December 2022

The focus of many researchers in the field of distribution theory has been on the expansion of the existing probability distributions to improve their modeling flexibility. In this paper, we introduced a new continuous probability

distribution called the Topp-Leone Kumaraswamy inverse exponential distribution with four parameters. We studied the nature of the proposed distribution with the help of its mathematical and statistical properties such as quantile function,

ordinary and incomplete moments, generating function and reliability. The probability density function of order statistics for this distribution was also obtained. Monte Carlo simulation was carried out to see the performance of maximum likelihood

estimation of Topp-Leone Kumaraswamy Inverse Exponential distribution. In this study, we performed a classical estimation of parameters by using the technique of maximum likelihood estimate. The proposed model was applied to two

real datasets and shows that it provides a better fit than other well-known distributions presented.

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