The Odd Power Lindley Generator of Probability Distributions: Properties, Characterizations and Regression Modeling

Authors

Mustafa Ç. Korkmaz, Artvin Çoruh University
Emrah Altun, Bartin University
Haitham M. Yousof, Benha University
Gholamhossein G. Hamedani, Marquette UniversityFollow

Document Type

Article

Language

eng

Publication Date

2019

Publisher

Canadian Center of Science and Education

Source Publication

International Journal of Statistics and Probability

Source ISSN

1927-7032

Abstract

In this study, a new flexible family of distributions is proposed with its statistical properties as well as some useful characterizations. The maximum likelihood method is used to estimate the unknown model parameters by means of two simulation studies. A new regression model is proposed based on a special member of the proposed family called, the log odd power Lindley Weibull distribution. Residual analysis is conducted to evaluate the model assumptions. Four applications to real data sets are given to demonstrate the usefulness of the proposed model.

Comments

Published version. International Journal of Statistics and Probability, Vol. 8, No. 2 (2019): 70-89. DOI. © 2019 Canadian Center of Science and Education. Used with permission.

Recommended Citation

Korkmaz, Mustafa Ç.; Altun, Emrah; Yousof, Haitham M.; and Hamedani, Gholamhossein G., "The Odd Power Lindley Generator of Probability Distributions: Properties, Characterizations and Regression Modeling" (2019). Mathematical and Statistical Science Faculty Research and Publications. 28.
https://epublications.marquette.edu/math_fac/28