Work

The New Topp-Leone-Type II Exponentiated Half Logistic-Marshall-Olkin-G Family of Distributions with Applications

Year: 2025

Type: article

Abstract: In this paper, we propose a new family of generalized distributions called the Topp-Leone type II Exponentiated Half Logistic-Marshall-Olkin-G (TL-TIIEHL-MO-G) distribution. The new distribution can be expressed as an infinite linear combination of exponentiated-G family of distributions. Some special models of the new family of distributions are explored. Statistical properties including the quantile function, ordinary and incomplete moments, stochastic orders, probability weighted moments, distribution of the order statistics and Renyi entropy are presented. The maximum likelihood method is used for estimating the model parameters and Monte Carlo simulation is conducted to examine the performance of the model. The flexibility and importance of the new family of distributions is demonstrated by means of applications to real data for censored and complete sets, respectively

Source: Statistics Optimization & Information Computing

DOI: 10.19139/soic-2310-5070-1872

Authors: Broderick Oluyede, Gomolemo Jacqueline Lekono, Lesego Gabaitiri

Institution: Botswana International University of Science and Technology

Language: English

Topic: Statistical Distribution Estimation and Applications

Subfield: Statistics and Probability

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W4411183524

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