Canadian Center of Science and Education
International Journal of Statistics and Probability
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.
Creative Commons License
This work is licensed under a Creative Commons Attribution 4.0 International License.
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.
ADA Accessible Version
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.