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Pralongpol Prasongporn. Negative binomial-two parameter weighted exponential distribution. Doctoral Degraee(Statistics). Kasetsart University. Office of the University Library. : Kasetsart University, 2019.
Negative binomial-two parameter weighted exponential distribution
Name: Pralongpol Prasongporn
Classification :.LCCS: QA273.6
LCSH:
Binomial distribution
Abstract:
The objectives of this thesis are to propose a new mixed negative binomial distribution, to derive parameter estimation of the proposed distribution and to compare efficary of the proposed distribution with other distributions for count data analysis. The results of this research show that the negative binomial two parameter weighted exponential distribution is the new mixed negative binomial distribution obtained by mixing the negative binomial distribution with the two parameter weighted exponential distribution. There are some special models, e.g. the negative binomial exponential, negative binomial gamma, and negative binomial weighted exponential distributions are presented as special cases of this negative binomial two parameter weighted exponential distribution.
The parameter estimation of the negative binomial two parameter weighted exponential distribution is estimated by maximum likelihood estimation and Bayesian approach. Most of simulation results, we can see that the Bayesian method likely outperforms the maximum likelihood method. In application studies, the goodness of fit test based on the Poisson, negative binomial and negative binomial two parameter weighted exponential distribution are discussed. The results emphasize that the negative binomial two parameter weighted exponential distribution has a better fit than the other competitive distributions. Therefore, the negative binomial two parameter weighted exponential distribution is alternative choices for data that has an overdispersion problem and heavy-tailed with positive skewness.
Kasetsart University. Office of the University Library
Address:
Bangkok
Email:
tdckulib@ku.ac.th
Name: Winai Bodhisuwan
Role:
Thesis Advisor
Name: Thidaporn Supapakorn
Role:
Thesis CO-Advisor
Created:
2019
Modified:
2025-07-27
Issued:
2025-07-27
วิทยานิพนธ์/Thesis
application/pdf
URL: https://www.lib.ku.ac.th/KUthesis/2562/pralongpol-pra-all.pdf
CallNumber:
QA273.6 .P73
eng
DegreeName: Doctor of Philosophy
Level: Doctoral Degraee
Descipline: Statistics
Grantor: Kasetsart University
©copyrights Kasetsart University
RightsAccess:
ใช้เวลา
0.036031 วินาที
Pralongpol Prasongporn
| Title | Contributor | Type |
|---|---|---|
| Negative binomial-two parameter weighted exponential distribution
มหาวิทยาลัยเกษตรศาสตร์ Pralongpol Prasongporn | Winai Bodhisuwan | วิทยานิพนธ์/Thesis |
Winai Bodhisuwan
Thidaporn Supapakorn
| Title | Creator | Type and Date Create |
|---|---|---|
| Non-uniform truncated power cubic spline density estimation on normal mixture distribution
มหาวิทยาลัยเกษตรศาสตร์ Thidaporn Supapakorn;Juthaphorn Sinsomboonthong | Arin Boonmeekham | วิทยานิพนธ์/Thesis |
| The mixture generalized gamma distribution
มหาวิทยาลัยเกษตรศาสตร์ Thidaporn Supapakorn;Winai Bodhisuwan | Satsayamon Suksaengrakcharoen | วิทยานิพนธ์/Thesis |
| Zero inflated beta negative binomial distribution
มหาวิทยาลัยเกษตรศาสตร์ Thidaporn Supapakorn;Winai Bodhisuwan | Usanee Khemapatapan | วิทยานิพนธ์/Thesis |