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The distribution of the quotient of two triangularly distributed random variables

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  • Selim Gündüz
  • Ali Genç

Abstract

The exact distributions of the quotients $$X/Y$$ X / Y and $$Y/(X+Y)$$ Y / ( X + Y ) when $$X$$ X and $$Y$$ 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. Copyright Springer-Verlag Berlin Heidelberg 2015

Suggested Citation

  • Selim Gündüz & Ali Genç, 2015. "The distribution of the quotient of two triangularly distributed random variables," Statistical Papers, Springer, vol. 56(2), pages 291-310, May.
    • Handle: RePEc:spr:stpapr:v:56:y:2015:i:2:p:291-310
    DOI: 10.1007/s00362-014-0582-x
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    References listed on IDEAS

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    1. T. Pham-Gia & N. Turkkan, 2002. "The product and quotient of general beta distributions," Statistical Papers, Springer, vol. 43(4), pages 537-550, October.
    2. M. Shakil & B. Golam Kibria & Kuang-Chao Chang, 2008. "Distributions of the product and ratio of Maxwell and Rayleigh random variables," Statistical Papers, Springer, vol. 49(4), pages 729-747, October.
    3. Saralees Nadarajah & Samuel Kotz, 2006. "On the Ratio of Fréchet Random Variables," Quality & Quantity: International Journal of Methodology, Springer, vol. 40(5), pages 861-868, October.
    4. Glickman, Theodore S. & Xu, Feng, 2008. "The distribution of the product of two triangular random variables," Statistics & Probability Letters, Elsevier, vol. 78(16), pages 2821-2826, November.
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