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The Journal of Statistics and Management Systems (JSMS) is a world leading journal publishing high quality, rigorously peer-reviewed original research on theoretical and applied statistics and management systems since 1998. The scope is intentionally broad, but papers must make a novel contribution to the field to be considered for publication. Topics include, but are not limited to, the following: • Statistics • Applied Statistics • Industrial Statistics • Statistical Inference • Interdisciplinary role of Statistics • Actuarial Sciences • Decision Sciences • Managerial Aspects • Management Sciences • Management Information Systems

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Open Access Research Article

A new transmuted family of distributions: Properties and estimation with applications

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pp. 261–289Vol. 26Issue 2March 2023DOI: 10.47974/JSMS-864XML
Received:
05 May 2020
Accepted:
05 Sep 2021
Published Online:
30 Mar 2023
Article type:
Research Article
Language:
EN
Article no.:
JSMS-864
Pages:
261–289

Abstract

In this paper, a new transmuted general family of distributions is introduced and studied. It offers an original alternative to the former transmuted family by revisiting its mathematical structure, opening a new perspective on modeling. We derive expressions for the moments, the incomplete moments, the moment generating function, entropy measures, and order statistics as main properties. Further, we introduce a bivariate extension of the new family. Some members of the family are introduced, involving Burr, Gompertz, Weibull and gamma distributions. We discuss the different methods of estimation of the model parameters and a simulation study is performed for one of the special models to check the asymptotic behavior of the estimates under all estimation methods. Further, the interest of the family is illustrated by fitting two real-life data sets to the mentioned sub-models.

Keywords

Subject Classifications

(2000) 60E0562E1562F10

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