Weighted Distributions: A Brief Review, Perspective and Characterizations

Authors

Aamir Saghir, Mirpur University of Science and Technology
Gholamhossein G. Hamedani, Marquette UniversityFollow
Sadaf Tazeem, Mirpur University of Science and Technology
Aneeqa Khadim, Mirpur University of Science and Technology

Document Type

Article

Language

eng

Publication Date

5-2017

Publisher

Canadian Center of Science and Education

Source Publication

International Journal of Statistics and Probability

Source ISSN

1927-7032

Abstract

The weighted distributions are widely used in many fields such as medicine, ecology and reliability, to name a few, for the development of proper statistical models. Weighted distributions are milestone for efficient modeling of statistical data and prediction when the standard distributions are not appropriate. A good deal of studies related to the weight distributions have been published in the literature. In this article, a brief review of these distributions is carried out. Implications of the differing weight models for future research as well as some possible strategies are discussed. Finally, characterizations of these distributions based on a simple relationship between two truncated moments are presented.

Comments

Accepted version. International Journal of Statistics and Probability, Vol. 6, No. 3 (May 2017): 109-131. DOI. © 2019 The Canadian Center of Science and Education. Used with permission.

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

Recommended Citation

Saghir, Aamir; Hamedani, Gholamhossein G.; Tazeem, Sadaf; and Khadim, Aneeqa, "Weighted Distributions: A Brief Review, Perspective and Characterizations" (2017). Mathematics, Statistics and Computer Science Faculty Research and Publications. 641.
https://epublications.marquette.edu/mscs_fac/641