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University of Illinois at Urbana-Champaign
Sequential and Non-Sequential Confidence Intervals With Guaranteed Coverage Probability and Beta-Protection (Estimation, Statistics, Minimaxity)
Abstract
dc:descriptionIn this thesis we examine several problems related to the construction of one-sided confidence intervals for the mean of a distribution. Let (mu) be the mean (of a normal distribution with variance 1, or of a 1-parameter exponential distribution) and let (phi)((mu)) be a function of (mu). Given error probabilities (alpha) and (beta), we require that the interval I satisfy P(,(mu)) (mu) (ELEM) I (GREATERTHEQ) 1 - (alpha) and P(,(mu)) (phi)((mu)) (ELEM) I (LESSTHEQ) (beta) for all (mu).
Degree
thesis:*- Name thesis:degree_name
- Ph.D.
- Level thesis:degree_level
- Dissertation
- Discipline thesis:degree_discipline
- Mathematics
- Grantor
- University of Illinois at Urbana-Champaign
- Year dc:date
- 2014
Author and committee
dc:creator, dc:contributor.*- Author dc:creator
-
- Juhlin, Kenton Duane
Subjects
dc:subject × 1Identifiers
dc:identifier.*- Identifier
- (UMI)AAI8511624
- OAI identifier oai:identifier
- oai:www.ideals.illinois.edu:2142/71231