Work

On the Flexible Alpha Skew-logistic Distribution: Properties and Applications

Year: 2025

Type: article

Abstract: This article introduces a novel class of skew-logistic distribution, providing flexibility to fit data with up to three modes. Various important properties of this new distribution are thoroughly examined, including its moment generating function, moments, entropy, and characterizations. Considering the location and scale parameters, a model extension and its parameter estimation technique are included. The study also includes a simulation study using the Metropolis--Hastings algorithm to observe the behavior of the estimated parameters. Furthermore, the adaptability and utility of the new model are assessed using three real-life datasets. Finally, a likelihood ratio test is applied to distinguish the introduced model from some other simpler models.

Source: Austrian Journal of Statistics

DOI: 10.17713/ajs.v54i2.1902

Authors: Jondeep Das, Partha Hazarika, G. G. Hamedani, Morad Alizadeh, Javier Contreras-Reyes

Institutions: Dibrugarh University, Marquette University, Persian Gulf University, University of Valparaíso

Language: English

Topic: Statistical Distribution Estimation and Applications

Subfield: Statistics and Probability

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W4407635008

FWCI: 2.523

Cites:

Cited by: 5

Related to: 10