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Laplace-Logistic Unit Distribution with Application in Dynamic and Regression Analysis

Author

Listed:
  • Vladica S. Stojanović

    (Department of Informatics & Computer Sciences, University of Criminal Investigation and Police Studies, 11000 Belgrade, Serbia)

  • Tanja Jovanović Spasojević

    (Department of Mathematics, Faculty of Sciences & Mathematics, University of Priština in Kosovska Mitrovica, 38220 Kosovska Mutrovica, Serbia)

  • Mihailo Jovanović

    (Department of Informatics & Computer Sciences, University of Criminal Investigation and Police Studies, 11000 Belgrade, Serbia)

Abstract

This manuscript presents a new two-parameter unit stochastic distribution, obtained by transforming the Laplace distribution, using a generalized logistic map, into a unit interval. The distribution thus obtained is named the Laplace-logistic unit (abbreviated LLU) distribution, and its basic stochastic properties are examined in detail. Also, the procedure for estimating parameters based on quantiles is provided, along with the asymptotic properties of the obtained estimates and the appropriate numerical simulation study. Finally, the application of the LLU distribution in dynamic and regression analysis of real-world data with accentuated “peaks” and “fat” tails is also discussed.

Suggested Citation

  • Vladica S. Stojanović & Tanja Jovanović Spasojević & Mihailo Jovanović, 2024. "Laplace-Logistic Unit Distribution with Application in Dynamic and Regression Analysis," Mathematics, MDPI, vol. 12(14), pages 1-21, July.
    • Handle: RePEc:gam:jmathe:v:12:y:2024:i:14:p:2282-:d:1440117
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    References listed on IDEAS

    as
    1. Hassan S. Bakouch & Tassaddaq Hussain & Marina Tošić & Vladica S. Stojanović & Najla Qarmalah, 2023. "Unit Exponential Probability Distribution: Characterization and Applications in Environmental and Engineering Data Modeling," Mathematics, MDPI, vol. 11(19), pages 1-22, October.
    2. Kartlos Joseph Kachiashvili & David I. Melikdzhanjan, 2019. "Estimators of the Parameters of Beta Distribution," Sankhya B: The Indian Journal of Statistics, Springer;Indian Statistical Institute, vol. 81(2), pages 350-373, December.
    3. Dagmara Dudek & Anna Kuczmaszewska, 2024. "Some practical and theoretical issues related to the quantile estimators," Statistical Papers, Springer, vol. 65(6), pages 3917-3933, August.
    Full references (including those not matched with items on IDEAS)

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