The Topp-Leone Generalized Odd Log-Logistic Family of Distributions: Properties, Characterizations and Applications

Authors

Mustafa Ç. Korkmaz, Artvin Çoruh University
Haitham M. Yousof, Benha University
Morad Alizadeh, Persian Gulf University-BushehrFollow
Gholamhossein Hamedani, Marquette UniversityFollow

Document Type

Article

Language

eng

Publication Date

8-1-2019

Publisher

Ankara Universitesi

Source Publication

Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics

Source ISSN

1303-5991

Abstract

A new family of distributions called the Topp-Leone generalized odd log-logistic-G family is introduced and studied. We provide some mathematical properties of the new family including ordinary and incomplete moments, generating function and order statistics. We assess the performance of the maximum likelihood estimators in terms of biases and mean squared errors by means of two simulation studies. Finally, the usefulness of the family is il lustrated by means of two real data sets. The new model provides consistently better fits than other competitive models for these data sets.

Comments

Published version. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, Vol. 68, No. 2 (August 1, 2019): 1506-1527. DOI. © 2019 Ankara Universitesi. Used with permission.

Recommended Citation

Korkmaz, Mustafa Ç.; Yousof, Haitham M.; Alizadeh, Morad; and Hamedani, Gholamhossein, "The Topp-Leone Generalized Odd Log-Logistic Family of Distributions: Properties, Characterizations and Applications" (2019). Mathematical and Statistical Science Faculty Research and Publications. 57.
https://epublications.marquette.edu/math_fac/57