Some new Mathematical Properties for Kumaraswamy Fréchet distribution


  • Bassant Waheed Badr University , Cairo
  • Salah M. Mohamed Cairo University



Probability weighted moments, entropy, Shannon entropy, moment of residual life, mean of residual life


In this research, some mathematical properties for Kumaraswamy Fréchet distribution was presented, include entropy, the Shannon entropy, probability weighted moments, moments of residual life and mean of residual life. the properties were concluded for the Kumaraswamy Fréchet distribution using the probability density function (pdf) and cumulative distribution function according to linear representations.


Download data is not yet available.


Ahamed. Afify, 2020. The four-parameter Fréchet distribution Properties and applications , Pak.j.stat.oper.res. Vol.16 ,No(2), pp249-264.

Ahmed Z. Afify, 2017. The Beta Exponential Frechet Distribution withApplications, Austrian Journal of Statistics, Volume 46, pp 41-63.

Caner Tanis at. al., 2021. Transmuted Lower Record Type Fréchet Distribution with Lifetime Regression Analysis Based on Type I-Censored Data, Journal of Statistical Theory and Applications, Vol. 20,NO(1), pp. 86–96.

Fathy Helmy Eissa, 2017. The Exponentiated Kumaraswamy-Weibull Distribution with Application to Real Data, URL:

Gauss M. Cordeiro, Mario de Castro, 2009. A new family of generalized distributions, Journal of Statistical Computation & Simulation, Vol. 00, No(00), pp1-17.

Gauss M. Cordeiro et al., 2017. The Kumaraswamy Normal Linear Regression Model with Applications, Communications in Statistics Simulation and Computation, DOI: 10.1080/03610918.2017.1367808.

Guilherme Pumi1 • Cristine Rauber, •Fábio M. Bayer, 2020. Kumaraswamy regression model with Aranda-Ordaz link function,

Hesham Reyad at others, 2021. The Fréchet Topp Leone-G Family of Distributions: Properties, Characterizations and Applications, Annals of Data Science VOL8.NO (2),PP.345–366,

Mdlongwa, et al., 2019. Kumaraswamy log-logistic Weibull distribution: model theory and application to lifetime and survival data, Published by Elsevier Ltd. This is an open access article under the CC BY-NC-ND, license

M.R. Mahmoud and R.M. Mandouh, 2013. On the Transmuted Fréchet Distribution, Journal of Applied Sciences Research, Vol.

Nelder J.A. and Wedderburn R.W.M., 1972. Generalized linear models. J. Roy. Statist. Soc. Ser. A 135: 370–384.

Pelumi E. Oguntunde, 2019. The Gompertz Fréchet distribution: Properties and applications .

Ronaldo V. da Silva and others, 2013. A New Lifetime Model: The Gamma Extended Fréchet Distribution, Journal of Statistical Theory and Applications, Vol.12, No(3), pp39-54.

Saralees Nadarajah, 2016. the Exponentiated Fréchet distribution, University of South Florida Tampa, Florida 33620, USA.

Shahdie Marganpoor at others, 2020. Generalised Odd Frechet Family of Distributions: Properties and Applications, STATISTICS IN TRANSITION. Vol. 21, No(3), pp. 109–128.

Thiago A. N. de Andrade, 2016. The exponentiated generalized extended exponential distribution, Journal of Data Science VO.14,NO(3),pp 393-414.

Zohdy M. Nofal & M. Ahsanullah, 2018. A new extension of the Fréchet distribution: Properties and its characterization, Communications in Statistics - Theory and Methods,




How to Cite

Waheed, B., & Mohamed, S. M. . (2022). Some new Mathematical Properties for Kumaraswamy Fréchet distribution. Jurnal Matematika, Statistika Dan Komputasi, 19(1), 90-99.



Research Articles