Modified Frechet Distributions and Their Generalized Families
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Date
2022-07-10
Journal Title
Journal ISSN
Volume Title
Publisher
Faculty of Science, Kaduna State University
Abstract
The Frechet distribution is used for modeling extreme events.
There are different approaches to developing statistical
distributions which include the use of translation methods, system
of differential equations, quantile methods among others. Existing
statistical distributions are also modified or generalized to
accommodate other different types of data and improve goodness
of fit to data. Addition of extra parameter(s) is one approach used
for generalizing existing distributions such that the base
distributions are embedded in the new generalized distributions.
Some methods of parameter induction were used to obtained
families of generalized distributions. Parameter(s) were also
introduced into the probability distributions of the Frechet
distribution to derive functions of its modified versions belonging to
each of the generalized families derived. Further study is
recommended on some of the modified Frechet distributions and
their generalized families.
Description
Keywords
Modified Frechet Distributions; Generalized families; Lehmann Alternatives; Marshall-Olkin Method; α-Power Transformed Method
Citation
Omekam I.V., Adeniyi O.I., and Adejumo A.O. (2022). Modified Frechet Distributions and Their Generalized Families. Science World Journal. 17(2): 338-345. Published by Faculty of Science, Kaduna State University.