Bootstrap confidence intervals for a population mean of crack distribution

Name: Preya Pichetverachai

keyword: Coverage probabilities

; Average interval lengths

; Bootstrap-t confidence interval method

; Percentile confidence interval method

; Modified percentile confidence interval method

Abstract: The purpose of this paper is to compare the coverage probabilities and the average interval lengths of the confidence interval for a population mean based on the independent and dependent bootstrap procedures. We explore the following three methods for both independent and dependent bootstrap procedures: Bootstrap-t confidence interval method, the Percentile confidence interval method, and the Modified Percentile confidence interval method. In this paper, we generate a sample from Crack distribution with specified parameters. Both independent and dependent bootstrap confidence intervals vary with the sample size n, the coverage probabilities of each confidence interval increase and the average interval lengths decrease as the sample size n increases. In theoretical part of the thesis we find a novel method of finding moments of the Crack distribution in much simpler way than it has been done before

Thammasat University. Thammasat University Library

Address: BANGKOK

Email: preserv@tu.ac.th

Name: Kamon Budsaba

Role: advisor

Name: Volodin, Andrei Igorevich

Role: co-advisor

Name: Teerawat Simmachan

Role: co-advisor

Created: 2015

Modified: 2021-10-01

Issued: 2021-10-01

วิทยานิพนธ์/Thesis

application/pdf

DOI: 10.14457/TU.the.2015.505

eng

DegreeName: Master of Science

Level: Master's Degree

Descipline: Applied Statistics

Grantor: Thammasat University

©copyrights Thammasat University

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