Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

A log-Dagum Weibull Distribution: Properties and Characterization

Version 1 : Received: 17 September 2020 / Approved: 18 September 2020 / Online: 18 September 2020 (10:16:23 CEST)

How to cite: Khadim, A.; Saghir, A.; Hussain, T. A log-Dagum Weibull Distribution: Properties and Characterization. Preprints 2020, 2020090428 (doi: 10.20944/preprints202009.0428.v1). Khadim, A.; Saghir, A.; Hussain, T. A log-Dagum Weibull Distribution: Properties and Characterization. Preprints 2020, 2020090428 (doi: 10.20944/preprints202009.0428.v1).

Abstract

Developments of new probability models for data analysis are keen interest of importance for all fields. The log-Dagum distribution has a prominent role in the theory and practice of statistics. In this article, a new family of continuous distributions generated from a log Dagum random variable called the log-Dagum Weibull distribution is proposed. The key properties of the proposed distribution are derived. Its density function can be symmetrical, left-skewed, right-skewed and reversed-J shaped and can have increasing, decreasing, bathtub hazard rates shaped. The model parameters are estimated by the method of maximum likelihood and illustrate its importance by means of applications to real data sets.

Subject Areas

probability distributions; log-dagum distribution; parameter estimation; weibull distribution

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