IJAM: Volume 37, No. 6 (2024)

DOI: 10.12732/ijam.v37i6.5

A NEW BIMODAL DOUBLE DISTRIBUTION ON

THE REAL LINE AND ITS APPLICATION

Hajar M. Alkhezi 1, M. E. Ghitany 1,§,

Mai F. Alfahad 1, J. Mazucheli 2

1 Department of Statistics and Operations Research

Faculty of Science, Kuwait University, KUWAIT

2 Department of Statistics

Universidade Estadual de Maring

Maringґa, PR, BRAZIL

Abstract. In this paper, we propose a new bimodal double distribution on the real line using random sign mixture transform and study its associated statistical inferences. Maximum likelihood estimation is used to estimate the underlying parameters. Monte Carlo simulation experiments are carried out to examine the performance of the estimators and the corresponding confidence intervals of the parameters. The proposed distribution is fitted to a bimodal real data set and is compared with other recently published bimodal double distributions.

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How to cite this paper?
DOI: 10.12732/ijam.v37i6.5
Source: International Journal of Applied Mathematics
ISSN printed version: 1311-1728
ISSN on-line version: 1314-8060
Year: 2024
Volume: 37
Issue: 6

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