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Daya K. Nagar, Edwin Zarrazola, Yeison Arley Ramirez-Vanegas,

Sum and Difference of Independent Topp-Leone Variables.

Int. J. Math. Comput. Sci., 20, no. 2, (2025), 563-570

DOI:

https://doi.org/10.69793/ijmcs/02.2025/zarrazola

Keywords and phrases:

Appell's first hypergeometric function, Beta distribution, Gauss hypergeometric function, difference, sum, transformation, Topp-Leone distribution.

Abstract:

The Topp-Leone distribution is quite captivating due to its finite support and multiple shapes for varying parameter values. In this article, we derive density functions of the sum and the difference of two independent random variables each distributed as Topp-Leone. We express these densities in terms of Appell's first hypergeometric function F_1 and Gauss hypergeometric function _2F_1.