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Chanakarn Jornsatian. The negative binomial-beta exponential regression model. Doctoral Degraee(Statistics). Kasetsart University. Office of the University Library. : Kasetsart University, 2021.
The negative binomial-beta exponential regression model
Name: Chanakarn Jornsatian
Classification :.LCCS: QA273.6
LCSH:
Binomial distribution
LCSH:
Regression analysis
Abstract:
There are many situations where data can be collected in the form of counts. Various distributions are applied to count data. This thesis comprises two parts. The purpose of the first part of the thesis is to develop a zero-one inflated negative binomial beta exponential distribution. The proposed distribution is an alternative distribution for count data with high frequencies of zeros and ones. Some useful properties of the proposed distribution along with its special cases are derived. Model parameter estimation based on the maximum likelihood and Bayesian estimations are considered. In simulation studies, the Bayesian approach is likely to provide the smaller value of root mean square error. Also, the application studies in the presence of excess zeros and ones are applied. As a result, the proposed distribution shows more appropriate than other competitive distributions for fitting these data sets. Furthermore, the negative binomial-beta exponential regression model is developed. The model parameters can be estimated using a Bayesian hierarchical approach. To assess the performance of the proposed regression model, its capability is explained through simulation studies and real data applications. Simulation studies in various scenarios are carried out and the root mean square error is calculated to measure. The Bayesian approach is the efficient method for estimating parameters of the proposed model in all situations. For applications, this regression model is utilized to fit two real data sets and compared against other competing models. The result shows that the negative binomial-beta exponential regression model is more fit than Poisson and negative binomial regression models.
Kasetsart University. Office of the University Library
Address:
Bangkok
Email:
tdckulib@ku.ac.th
Name: Winai Bodhisuwan
Role:
Thesis Advisor
Created:
2021
Modified:
2025-07-12
Issued:
2025-07-12
วิทยานิพนธ์/Thesis
application/pdf
URL: https://www.lib.ku.ac.th/KUthesis/2564/chanakarn-jor-all.pdf
CallNumber:
QA273.6 .C44
eng
DegreeName: Doctor of Philosophy
Level: Doctoral Degraee
Descipline: Statistics
Grantor: Kasetsart University
©copyrights Kasetsart University
RightsAccess:
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0.034138 วินาที
Chanakarn Jornsatian
| Title | Contributor | Type |
|---|---|---|
| Statistical inference of the zero inflated negative binomial-beta exponential distribution
มหาวิทยาลัยเกษตรศาสตร์ Chanakarn Jornsatian | Winai Bodhisuwan Mena Patummasut Boonorm Chomtee | วิทยานิพนธ์/Thesis |
| The negative binomial-beta exponential regression model
มหาวิทยาลัยเกษตรศาสตร์ Chanakarn Jornsatian | Winai Bodhisuwan | วิทยานิพนธ์/Thesis |
Winai Bodhisuwan