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Chanida Kraisadab. Confidence intervals for mean of two-parameter exponential distribution. Master's Degree(Applied Statistics). Thammasat University. Thammasat University Library. : Thammasat University, 2021.
Confidence intervals for mean of two-parameter exponential distribution
Name: Chanida Kraisadab
keyword:
Simulation
Abstract:
The two-parameter exponential distribution is widely used in applications, such as lifetime, survival, medical sciences, and reliability. Since the data related to this distribution are continuous outcomes, the characteristic of population in mean is of interest. The objective of this thesis is to construct the confidence intervals for the population mean of a two-parameter exponential distribution, using the method of variance of estimates recovery (MOVER) and Wald-type method. Unbiased estimators for the parameters given in this probability model are also applied in interval estimation. The new estimated variance formulas for the mean estimator are derived in this current work. The performance of these confidence intervals is investigated in terms of coverage probability and expected length via Monte Carlo simulations. The results indicate that the MOVER confidence interval using pivotal method performs well in all situations in the study. This is because it provides coverage probability greater than or close to the target probability level with an acceptable expected length. The confidence interval based on the Wald-type method can be used as an alternative statistical tool for large sample sizes. We also illustrate our confidence intervals using a real-world example in the area of environmental pollution
Thammasat University. Thammasat University Library
Address:
BANGKOK
Email:
preserv@tu.ac.th
Name: Patarawan Sangnawakij
Role:
advisor
Role:
co-advisor
Created:
2021
Modified:
2023-03-30
Issued:
2023-03-30
วิทยานิพนธ์/Thesis
application/pdf
eng
DegreeName: Master of Science
Level: Master's Degree
Descipline: Applied Statistics
Grantor: Thammasat University
©copyrights Thammasat University
RightsAccess:
ใช้เวลา
0.031999 วินาที
Chanida Kraisadab
| Title | Contributor | Type |
|---|---|---|
| Confidence intervals for mean of two-parameter exponential distribution
มหาวิทยาลัยธรรมศาสตร์ Chanida Kraisadab | Patarawan Sangnawakij Volodin, Andrei Igorevich | วิทยานิพนธ์/Thesis |
Patarawan Sangnawakij
| Title | Creator | Type and Date Create |
|---|---|---|
| Confidence intervals for the difference of means in zero-truncated poisson distributions
มหาวิทยาลัยธรรมศาสตร์ Patarawan Sangnawakij;Volodin, Andrei Igorevich | Napatthada Tantipisanu | วิทยานิพนธ์/Thesis |
| Confidence intervals for mean of two-parameter exponential distribution
มหาวิทยาลัยธรรมศาสตร์ Patarawan Sangnawakij;Volodin, Andrei Igorevich | Chanida Kraisadab | วิทยานิพนธ์/Thesis |
Volodin, Andrei Igorevich