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

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

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.