The Odds Exponential-Pareto IV Distribution: Regression Model and Application

Lamya A Baharith; Kholod M Al-Beladi; Hadeel S Klakattawi

doi:10.3390/e22050497

The Odds Exponential-Pareto IV Distribution: Regression Model and Application

Entropy (Basel). 2020 Apr 25;22(5):497. doi: 10.3390/e22050497.

Authors

Lamya A Baharith¹, Kholod M Al-Beladi^{1

2}, Hadeel S Klakattawi¹

Affiliations

¹ Department of Statistics, Faculty of Science, King Abdulaziz University, Jeddah 21589, Saudi Arabia.
² Department of Statistics, Faculty Science, University of Jeddah, Jeddah 21959, Saudi Arabia.

Abstract

This article introduces the odds exponential-Pareto IV distribution, which belongs to the odds family of distributions. We studied the statistical properties of this new distribution. The odds exponential-Pareto IV distribution provided decreasing, increasing, and upside-down hazard functions. We employed the maximum likelihood method to estimate the distribution parameters. The estimators performance was assessed by conducting simulation studies. A new log location-scale regression model based on the odds exponential-Pareto IV distribution was also introduced. Parameter estimates of the proposed model were obtained using both maximum likelihood and jackknife methods for right-censored data. Real data sets were analyzed under the odds exponential-Pareto IV distribution and log odds exponential-Pareto IV regression model to show their flexibility and potentiality.

Keywords: Jackknife method; Pareto IV; censored data; global influence; maximum likelihood; odds exponential-Pareto IV distribution; regression model; residual analysis.