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Exact Distribution of the Product of Two or More Logistic Random Variables

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  • Saralees Nadarajah

    (University of Manchester)

Abstract

Without a doubt, the logistic distribution is the most popular statistical model in the social sciences and related areas. Motivated by the importance of products of random variables in these areas, we derive the exact distributions of | X 1 X 2 | and | X 1 X 2 ⋯ X p | when X m are independent logistic random variables. Tabulations of the associated percentage points are provided and possible extensions discussed.

Suggested Citation

  • Saralees Nadarajah, 2009. "Exact Distribution of the Product of Two or More Logistic Random Variables," Methodology and Computing in Applied Probability, Springer, vol. 11(4), pages 651-660, December.
    • Handle: RePEc:spr:metcap:v:11:y:2009:i:4:d:10.1007_s11009-008-9084-4
    DOI: 10.1007/s11009-008-9084-4
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    References listed on IDEAS

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    1. Nadarajah, Saralees & Gupta, Arjun K., 2006. "On the ratio of logistic random variables," Computational Statistics & Data Analysis, Elsevier, vol. 50(5), pages 1206-1219, March.
    2. Feldstein, Martin S, 1971. "The Error of Forecast in Econometric Models when the Forecast-Period Exogenous Variables are Stochastic," Econometrica, Econometric Society, vol. 39(1), pages 55-60, January.
    3. Tang, Jen & Gupta, A. K., 1984. "On the distribution of the product of independent beta random variables," Statistics & Probability Letters, Elsevier, vol. 2(3), pages 165-168, May.
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