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

Vladica S. Stojanović (), Tanja Jovanović Spasojević and Mihailo Jovanović
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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

Mathematics, 2024, vol. 12, issue 14, 1-21

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.

Keywords: unit distributions; Laplace distribution; generalized logistic map; stochastic properties; parameter estimation; quantiles; dynamics; regression (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2024
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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