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

Authors

  • Ismail Kolawole Adekunle School of Applied Sciences, Kaduna Polytechnic, Kaduna
  • Ibrahim Sule* Ahmadu Bello University, Zaria, Nigeria
  • Sani Ibrahim Doguwa Ahmadu Bello University, Zaria, Nigeria
  • Abubakar Yahaya Ahmadu Bello University, Zaria, Nigeria

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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Author Biographies

Ismail Kolawole Adekunle, School of Applied Sciences, Kaduna Polytechnic, Kaduna

Department of Mathematics and Statistics

Ibrahim Sule*, Ahmadu Bello University, Zaria, Nigeria

Department of Statistics, Faculty of
Physical Sciences

Sani Ibrahim Doguwa, Ahmadu Bello University, Zaria, Nigeria

Department of Statistics, Faculty of Physical Sciences,

Abubakar Yahaya, Ahmadu Bello University, Zaria, Nigeria

Department of Statistics, Faculty of Physical
Sciences

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Published

2022-01-01