Another Generalized Transmuted Family of Distributions: Properties and Applications

Authors

Faton Merovci, University of MitrovicaFollow
Morad Alizadeh, Gulf University-BushehrFollow
Gholamhossein Hamedani, Marquette UniversityFollow

Document Type

Article

Language

eng

Publication Date

9-2016

Publisher

Osterreichische Statistische Gesellschaft

Source Publication

Austrian Journal of Statistics

Source ISSN

1026-597x

Abstract

We introduce and study general mathematical properties of a new generator of continuous distributions with two extra parameters called the Another generalized transmuted family of distributions. We present some special models. We investigate the asymptotes and shapes. The new density function can be expressed as a linear combination of exponentiated densities based on the same baseline distribution. We obtain explicit expressions for the ordinary and incomplete moments and generating functions, Bonferroni and Lorenz curves, asymptotic distribution of the extreme values, Shannon and Renyi entropies and order statistics, which hold for any baseline model, certain characterisations are presented. Further, we introduce a bivariate extensions of the new family. We discuss the dierent method of estimation of the model parameters and illustrate the potentiality of the family by means of two applications to real data. A brief simulation for evaluating Maximum likelihood estimator is done.

Comments

Published version. Austrian Journal of Statistics, Vo. 45 (September 2016): 71-93. Publisher Link. © 2016 Osterreichische Statistische Gesellschaft. Used with permission.

Recommended Citation

Merovci, Faton; Alizadeh, Morad; and Hamedani, Gholamhossein, "Another Generalized Transmuted Family of Distributions: Properties and Applications" (2016). Mathematics, Statistics and Computer Science Faculty Research and Publications. 493.
https://epublications.marquette.edu/mscs_fac/493