A New Method for Constructing Confidence Intervals on the Parameters of Continuous Distributions

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Motaei, Amir | 2011

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Type of Document: M.Sc. Thesis
Language: Farsi
Document No: 41570 (01)
University: Sharif University of Technology
Department: Industrial Engineering
Advisor(s): Akhavan Niaki, Taghi
Abstract:
In this research, a new Bayesian method for constructing confidence intervals on the parameters of any continuous distribution is first developed. The main idea behind developing this method is to model uncertainty. As an application of the proposed methodology, confidence intervals for the two parameters of the Weibull distribution along with their joint confidence interval are then derived in which data can be of type I censored data, type II censored data or uncensored. The new confidence intervals are next compared to other existing exact confidence intervals in the literature and shown to have better performances. Furthermore, we show the lengths of the existing exact confidence intervals are subject to improper use of the available information in data. We further show how this fact does not affect the coverage of the exact confidence intervals.
Keywords:
Uncertainty ; Exact Confidence Intervals ; Weibull Distribution ; Type I Censoring ; Type II Censoring

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