A class of mixture distributions has been derived which we call two folded mixture distributions. We have derived a class of dual mixture distributions named beta 1st kind mixture of beta 1st kind, beta 2nd kind mixture of beta 2nd kind, normal mixture of normal distribution, lognormal mixture of lognormal distribution, Erlang mixture of Erlang distribution, Laplace mixture of Laplace distribution, Pareto mixture of Pareto distribution, chi-square mixture of chi-square distribution, t mixture of t distribution, F mixture of F distribution, etc. Estimation of unknown parameters along with some characteristics of these distributions is also investigated. Here, various new integral representations of several two folded functions like two folded beta, two folded gamma functions can be obtained using these mixture beta distributions. The estimation of unknown parameters along with some characteristics of these distributions is also given.

methods of moments, mixing distribution, mixtured distribution.

Received: November 25, 2020; Accepted: December 20, 2020; Published: February 8, 2021

How to cite this article: Mian Arif Shams Adnan, Humayun Kiser, Asif Shams Adnan and Silvey Shamsi, A class of two folded mixture distributions, Far East Journal of Theoretical Statistics 61(1) (2021), 75-93. DOI: 10.17654/TS061010075

This Open Access Article is Licensed under Creative Commons Attribution 4.0 International License

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