The Type I Quasi Lambert Family: Properties, Characterizations and Different Estimation Methods.

Authors

Gholamhossein G. Hamedani, Marquette UniversityFollow
Mustafa Ç. Korkmaz, Artvin Çoruh University
Nadeem Shafique Butt, King Abdul Aziz University
Haitham M. Yousof, Benha University

Document Type

Article

Publication Date

2021

Publisher

University of the Punjab

Source Publication

Pakistan Journal of Statistics and Operation Research

Source ISSN

1816-2711

Abstract

A new G family of probability distributions called the type I quasi Lambert family is defined and applied for modeling real lifetime data. Some new bivariate type G families using "Farlie-Gumbel-Morgenstern copula", "modified Farlie-Gumbel-Morgenstern copula", "Clayton copula" and "Renyi's entropy copula" are derived. Three characterizations of the new family are presented. Some of its statistical properties are derived and studied. The maximum likelihood estimation, maximum product spacing estimation, least squares estimation, Anderson-Darling estimation and Cramer-von Mises estimation methods are used for estimating the unknown parameters. Graphical assessments under the five different estimation methods are introduced. Based on these assessments, all estimation methods perform well. Finally, an application to illustrate the importance and flexibility of the new family is proposed.

Comments

Published version. Pakistan Journal of Statistics and Operation Research, Vol. 17, No. 3 (2021): 545-558. DOI. © 2021 University of the Punjab. Used with permission.

Recommended Citation

Hamedani, Gholamhossein G.; Korkmaz, Mustafa Ç.; Butt, Nadeem Shafique; and Yousof, Haitham M., "The Type I Quasi Lambert Family: Properties, Characterizations and Different Estimation Methods." (2021). Mathematical and Statistical Science Faculty Research and Publications. 106.
https://epublications.marquette.edu/math_fac/106