On the discrete weibull marshallolkin family of distributions: Properties, characterizations, and applications
subject: Confidence interval; Discrete distributions; Estimation; Generalized family; MarshallOlkin family; Weibull distribution
description: In this article, we introduce a new flexible discrete family of distributions, which accommo-dates wide collection of monotone failure rates. A sub-model of geometric distribution or a discrete generalization of the exponential model is proposed as a special case of the derived family. Besides, we point out a comprehensive record of some of its mathematical properties. Two distinct estimation methods for parameters estimation and two different methods for constructing confidence intervals are explored for the proposed distribution. In addition, three extensive Monte Carlo simulations studies are conducted to assess the advantages between estimation methods. Finally, the utility of the new model is embellished by dint of two real datasets. 2021 by the authors. Licensee MDPI, Basel, Switzerland.
creator: Gillariose J.; Balogun O.S.; Almetwally E.M.; Khan Sherwani R.A.; Jamal F.; Joseph J.
source: Axioms, Vol-10, No. 4
publisher: MDPI
date: 2021-01-01
rights: All Open Access; Gold Open Access
relation: ISSN: 20751680
format: Online
language: English
type: Article
coverage: Gillariose J., Department of Statistics, CHRIST (Deemed to Be University), Bangalore, 560029, India; Balogun O.S., School of Computing, University of Eastern Finland, Kuopio, 70211, Finland; Almetwally E.M., Department of Statistics, Delta University of Science and Technology, Belkas, 35631, Egypt; Khan Sherwani R.A., College of Statistical and Actuarial Sciences, University of the Punjab, Lahore, 54000, Pakistan; Jamal F., Department of Statistics, The Islamia University of Bahawalpur, Bahawalpur, 63100, Pakistan; Joseph J., Department of Finance, KMML a Company under Government of Kerala, Sankaramangalam, Kollam, 691583, India