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Slash distributions of the sum of independent logistic random variables

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  • del Castillo, J.M.

Abstract

The slash distribution of the sum of independent logistic random variables is introduced. For the distribution of the sum of two logistic random variables, the characteristic function and several distributional identities are obtained. The self-decomposability of this distribution is proved.

Suggested Citation

  • del Castillo, J.M., 2016. "Slash distributions of the sum of independent logistic random variables," Statistics & Probability Letters, Elsevier, vol. 110(C), pages 111-118.
    • Handle: RePEc:eee:stapro:v:110:y:2016:i:c:p:111-118
    DOI: 10.1016/j.spl.2015.12.013
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    References listed on IDEAS

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    1. Bindu Punathumparambath, 2011. "A new family of skewed slash distributions generated by the normal kernel," Statistica, Department of Statistics, University of Bologna, vol. 71(3), pages 345-353.
    2. Arslan, Olcay, 2009. "Maximum likelihood parameter estimation for the multivariate skew-slash distribution," Statistics & Probability Letters, Elsevier, vol. 79(20), pages 2158-2165, October.
    3. Arslan, Olcay, 2008. "An alternative multivariate skew-slash distribution," Statistics & Probability Letters, Elsevier, vol. 78(16), pages 2756-2761, November.
    4. Gómez, Héctor W. & Quintana, Fernando A. & Torres, Francisco J., 2007. "A new family of slash-distributions with elliptical contours," Statistics & Probability Letters, Elsevier, vol. 77(7), pages 717-725, April.
    5. Ali Genç, 2013. "A skew extension of the slash distribution via beta-normal distribution," Statistical Papers, Springer, vol. 54(2), pages 427-442, May.
    6. Wenhao Gui, 2014. "A generalization of the slashed distribution via alpha skew normal distribution," Statistical Methods & Applications, Springer;Società Italiana di Statistica, vol. 23(4), pages 547-563, November.
    7. Gómez, Héctor W. & Olivares-Pacheco, Juan F. & Bolfarine, Heleno, 2009. "An extension of the generalized Birnbaum-Saunders distribution," Statistics & Probability Letters, Elsevier, vol. 79(3), pages 331-338, February.
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    Cited by:

    1. Popović, Božidar V. & Mijanović, Andjela & Genç, Ali İ., 2020. "On linear combination of generalized logistic random variables with an application to financial returns," Applied Mathematics and Computation, Elsevier, vol. 381(C).
    2. Peter Zörnig, 2019. "On Generalized Slash Distributions: Representation by Hypergeometric Functions," Stats, MDPI, vol. 2(3), pages 1-17, July.
    3. Jaime S. Castillo & Inmaculada Barranco-Chamorro & Osvaldo Venegas & Héctor W. Gómez, 2023. "Slash-Weighted Lindley Distribution: Properties, Inference, and Applications," Mathematics, MDPI, vol. 11(18), pages 1-14, September.

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