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The distribution of the quotient of two triangularly distributed random variables

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Abstract

The exact distributions of the quotients \(X/Y\) and \(Y/(X+Y)\) when \(X\) and \(Y\) are independent and triangularly distributed random variables are obtained. These quotients are useful especially in operations research and reliability engineering, and some reliability applications of the results are also given.

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Authors and Affiliations

  1. Department of Statistics, Cukurova University, 01330 , Adana, Turkey

    Selim Gündüz & Ali İ. Genç

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  1. Selim Gündüz
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  2. Ali İ. Genç
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Correspondence to Ali İ. Genç.

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Gündüz, S., Genç, A.İ. The distribution of the quotient of two triangularly distributed random variables. Stat Papers 56, 291–310 (2015). https://doi.org/10.1007/s00362-014-0582-x

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  • DOI: https://doi.org/10.1007/s00362-014-0582-x

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