Modified half logistic - exponentiated Kumaraswamy distribution and applications

The statistical model of mixture distributions has become an important tool for analyzing complicated phenomena in the real world. This approach has a wide range of applications in the fields of biology, medicine, environment and engineering. Based on the characteristics of the Exponentiated Kumaraswamy model, researchers have carried out a series of explorations and studies. However, in order to provide a more appropriate model to support real-life applications and to make our data analysis more reliable, it is still meaningful to explore new models. Therefore, in this thesis, we propose a novel mixture model, which is a modified one based on the combination of the Type-II Half Logistic distribution and the Exponentiated Kumaraswamy distribution. We defined it as the Modified Half Logistic - Exponentiated Kumaraswamy (MHL-EK) distribution. Then, we will study its statistical properties, such as quantile function, moments, incomplete moments, etc. Next, maximum likelihood estimation will be used for the parameter estimation of the MHL-EK model. We will also present a related simulation study. Finally, we apply this model to three real data sets and give our analysis for them. The results show that the MHL-EK distribution is a relatively suitable model among the candidate models.

Name thesis:degree_name

Master of Science (MSc)

Level thesis:degree_level

Master's

Discipline thesis:degree_discipline

Statistics

Grantor dc:publisher

Faculty of Graduate Studies and Research, University of Regina

Year dc:date.issued

2022

Author dc:creator

• Xiao, Mei

Advisor dc:contributor.advisor

• Volodin, Andrei

Committee member dc:contributor.committeemember

• Deng, Dianliang

Language dc:language.iso

en

DOI

https://doi.org/10.82465/4801

OAI identifier oai:identifier

oai:uregina.scholaris.ca:10294/16166