Generation of Distribution Functions: A Survey

Authors

Essam K. AL-Hussaini, Department of Mathematics, Faculty of Science, Alexandria University, EgyptFollow
Alaa H. Abdel-Hamid

Author Country (or Countries)

Egypt

Abstract

Generation of distributions, by composition of cumulative distribution functions (CDFs), compounding or mixing, leads the population distribution to be more flexible to analyzing data. On the other hand, heavy-tailed skewed distributions can be generated by compounding. Different generating methods are surveyed. Such methods include generation by composition, compounding and mixing (countable or finite). Relationships of some of the generated distributions to other distributions, or functions are presented.

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/jsap/070109

Recommended Citation

K. AL-Hussaini, Essam and H. Abdel-Hamid, Alaa (2018) "Generation of Distribution Functions: A Survey," Journal of Statistics Applications & Probability: Vol. 7: Iss. 1, Article 9.
DOI: http://dx.doi.org/10.18576/jsap/070109
Available at: https://digitalcommons.aaru.edu.jo/jsap/vol7/iss1/9