2026-09-20T16:14:57Z https://www.ideals.illinois.edu/oai-pmh

oai:www.ideals.illinois.edu:2142/71502 2023-07-11 col_2142_5131 col_2142_17362 com_2142_5130 com_2142_17361 com_2142_8903

Kim, Sung Lai 2014-12-16T18:31:32Z 2014-12-16T18:31:32Z 10000-01-01 1987 1987 Wijsman, Robert A., In this thesis we study sequential procedures for constructing one-sided and bounded sequential confidence sets with $\beta$-protection and coverage probability at least 1 $-$ $\alpha$ for the mean of a distribution in the presence of nuisance parameters. Let $\{X\sb{n}$: n = 1,2, dots,$\}$ be i i d p-variate (p $\geq$ 1) random variables with distribution $P\sb{\theta}$, $\theta\in\Theta$. The parameter space $\Theta$ is some abstract set for which various choices will be made. The mean $\mu$ = $\mu(\theta)$ of $P\sb{\theta}$ is the parameter of interest, the rest of $\theta$ will be regarded as a nuisance parameter. In the simplest case $\mu$ is real valued and there is given an imprecision function $\delta(\mu)$ $>$ 0 and error probabilities 0 $$ 1). In the univariate case several asymptotic properties of the stopping time are obtained in various limiting situations. Made available in DSpace on 2014-12-16T18:31:32Z (GMT). No. of bitstreams: 1 8803088.pdf: 1869532 bytes, checksum: 3a718d24933413ff0c3ca92255d566bb (MD5) Previous issue date: 1987 Embargo set by: Seth Robbins for item 71668 Lift date: Forever Reason: Restricted to the U of I community idenfinitely during batch ingest of legacy ETDs Restricted to the U of I community idenfinitely during batch ingest of legacy ETDs U of I Only 56 p. Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 1987. http://hdl.handle.net/2142/71502 (UMI)AAI8803088 Statistics Sequential Confidence Sets With Beta-Protection in the Presence of Nuisance Parameters text Statistics Statistics University of Illinois at Urbana-Champaign Dissertation Ph.D.