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)
K. AL-Hussaini, Essam and H. Abdel-Hamid, Alaa
"Generation of Distribution Functions: A Survey,"
Journal of Statistics Applications & Probability: Vol. 7
, Article 9.
Available at: https://dc.naturalspublishing.com/jsap/vol7/iss1/9