On the three-component mixture of exponential distributions: A Bayesian framework to model data with multiple lower and upper outliers

Kheirolah Okhli and Mehdi Jabbari Nooghabi

Mathematics and Computers in Simulation (MATCOM), 2023, vol. 208, issue C, 480-500

Abstract: The presence of lower and upper outliers in the dataset may cause misleading inferential conclusions in the applied statistical problems. This paper introduces the three-component mixture of exponential (3-CME) distributions as an alternative platform for analyzing positive datasets in the presence of multiple lower and upper outliers. We obtain the parameter estimates with a focus on the Bayesian methodology. In order to investigate the performance of the presented approach, five simulation studies are conducted. We show that the proposed outlier model can be selected as an appropriate alternative model in dealing with the data with and without lower and upper outliers. The performance of the Bayes estimators under different loss functions with various sample sizes and the number of outliers are also investigated. Finally, two examples of real data are studied to illustrate the superiority of the 3-CME distributions in analyzing dataset and detecting lower and upper outliers.

Keywords: Lower and upper outliers; Exponential distribution; Mixture model; Bayesian analysis; Gibbs sampler (search for similar items in EconPapers)
Date: 2023
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0378475423000514
Full text for ScienceDirect subscribers only

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:208:y:2023:i:c:p:480-500

DOI: 10.1016/j.matcom.2023.01.037

Access Statistics for this article

Mathematics and Computers in Simulation (MATCOM) is currently edited by Robert Beauwens

More articles in Mathematics and Computers in Simulation (MATCOM) from Elsevier
Bibliographic data for series maintained by Catherine Liu ().