Work

Estimation of discrete mixed Poisson-Erlang distribution with applications to medical data

Year: 2025

Type: article

Abstract: This paper discusses the estimation of the discrete mixed Poisson-Erlang distribution (DMPED). Compared to many traditional discrete distributions, DMPED offers several surprising benefits, especially when examining count data with high variation and that are positively skewed. We have explored several statistical characteristics of the assumed distribution, such as moments, the moment-generating function, the failure rate function, the monotonicity of the probability mass function, and a couple of descriptive measures (central tendency and dispersion). We have used the maximum likelihood estimation technique to estimate the parameters of the DMPED. We conducted a simulation study to validate the proposed estimators. Finally, four applications related to cancer diseases have been discussed, where DMPED (especially DMPEIID) fits the number of doses required for treatment, remission times, and therapy type comparisons.

Source: PLoS ONE

DOI: 10.1371/journal.pone.0331472

Authors: Mohamed Ahmed Mosilhy, Sadiah M. A. Aljeddani, Mahmoud H. Abu-Moussa

Institutions: Cairo University, Umm al-Qura University, Sohar University

Language: English

Topic: Statistical Distribution Estimation and Applications

Subfield: Statistics and Probability

Field: Mathematics

Domain: Physical Sciences

SDG: Good health and well-being

Open Access status: gold

Estimated APC paid: $2,382