Product and quotient of independent Topp-Leone variables

The univariate family of Topp-Leone distributions has been studied recently by a number of researchers. This distribution has finite support and possesses many interesting properties. In this article, we derive the exact distributions of X_1X_2, X_1/X_2 and X_1/(X_1+X_2) when X_1 and X_2 are independent Topp-Leone/beta variables. The resulting distributions are expressed in terms of special functions.

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Publication Details

Journal
International journal of mathematics and computer science
Published
2025-01-01
DOI
https://doi.org/10.69793/ijmcs/02.2025/edwinzarrazola
Primary Topic
Advanced Optimization Algorithms Research
Type
article
Field-Weighted Citation Impact
0.00

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article

Product and quotient of independent Topp-Leone variables

Johanna Marcela Orozco-Castañeda, Edwin Zarrazola, Daya K. Nagar
International journal of mathematics and computer science
Advanced Optimization Algorithms Research
article

Product and quotient of independent Topp-Leone variables

Johanna Marcela Orozco-Castañeda, Edwin Zarrazola, Daya K. Nagar
article en

Abstract

The univariate family of Topp-Leone distributions has been studied recently by a number of researchers. This distribution has finite support and possesses many interesting properties. In this article, we derive the exact distributions of X_1X_2, X_1/X_2 and X_1/(X_1+X_2) when X_1 and X_2 are independent Topp-Leone/beta variables. The resulting distributions are expressed in terms of special functions.

International journal of mathematics and computer science
Universidad de Antioquia (CO)
Universidad de Antioquia
Openalex Percentile: Top 92%
Advanced Optimization Algorithms Research
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