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Ausaina Niyomdecha. A new compounding life distribution : gamma zero-truncated poisson distribution. Doctoral Degree(Statistics). Thammasat University. Thammasat University Library. : Thammasat University, 2023.
A new compounding life distribution : gamma zero-truncated poisson distribution
Name: Ausaina Niyomdecha
keyword:
Compounding
Abstract:
Modeling of lifetimes is an important statistical work in many fields. This study introduces novel continuous three-parameter lifetime distributions known as the gamma zero-truncated Poisson (GZTP) and complementary gamma zero-truncated Poisson (CGZTP) distributions. These distributions compound minimum or maximum value from a set of independent, identical gamma-distributed random variables, with zero-truncated Poisson random variables. Properties of the proposed distributions, including the probability density, cumulative distribution, survival, and hazard functions as well as moments, are studied and mathematically proven. The estimation of unknown parameters is performed using the maximum likelihood method, and its asymptotic properties are analyzed. In addition, confidence intervals are calculated for GZTP and CGZTP parameters by Wald's method. Based on generated samples, Bayes estimates of unknown parameters and credible intervals are further computed. Simulation studies are performed to assess effectiveness of parameter estimates, while real-world cases illustrate useful applications of the proposed distributions
Thammasat University. Thammasat University Library
Address:
BANGKOK
Email:
preserv@tu.ac.th
Name: Patchanok Srisuradetchai
Role:
advisor
Created:
2023
Modified:
2024-07-24
Issued:
2024-07-24
วิทยานิพนธ์/Thesis
application/pdf
eng
DegreeName: Doctor of Philosophy
Level: Doctoral Degree
Descipline: Statistics
Grantor: Thammasat University
©copyrights Thammasat University
RightsAccess:
ใช้เวลา
0.029945 วินาที
Ausaina Niyomdecha
| Title | Contributor | Type |
|---|---|---|
| A new compounding life distribution : gamma zero-truncated poisson distribution
มหาวิทยาลัยธรรมศาสตร์ Ausaina Niyomdecha | Patchanok Srisuradetchai | วิทยานิพนธ์/Thesis |
Patchanok Srisuradetchai
| Title | Creator | Type and Date Create |
|---|---|---|
| Using balanced incomplete block designs to generate a new class of sampling designs with good spatial coverage
มหาวิทยาลัยธรรมศาสตร์ Patchanok Srisuradetchai;Borkowski, John J. | Paramaporn Sangpara | วิทยานิพนธ์/Thesis |
| Weighted optimality criteria for response surface designs with blocking factors
มหาวิทยาลัยธรรมศาสตร์ Patchanok Srisuradetchai;Borkowski, John J. | Peang-or Yeesa | วิทยานิพนธ์/Thesis |
| A new compounding life distribution : gamma zero-truncated poisson distribution
มหาวิทยาลัยธรรมศาสตร์ Patchanok Srisuradetchai | Ausaina Niyomdecha | วิทยานิพนธ์/Thesis |
| Interval estimation of the dependence parameter in bivariate clayton copulas : non-covariate and incorporating covariate models
มหาวิทยาลัยธรรมศาสตร์ Patchanok Srisuradetchai | Unyamanee Kummaraka | วิทยานิพนธ์/Thesis |