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dc.contributor.supervisor Martsynyuk, Yuliya (Statistics) en_US
dc.contributor.author Tuzov, Ekaterina
dc.date.accessioned 2014-04-10T14:14:43Z
dc.date.available 2014-04-10T14:14:43Z
dc.date.issued 2014-04-10
dc.identifier.uri http://hdl.handle.net/1993/23426
dc.description.abstract We take a Student process that is based on independent copies of a random variable X and has trajectories in the function space D[0,1]. As a consequence of a functional central limit theorem for this process, with X in the domain of attraction of the normal law, we consider convergence in distribution of several functionals of this process and derive respective asymptotic confidence intervals for the mean of X. We explore the expected lengths and finite-sample coverage probabilities of these confidence intervals and the one obtained from the asymptotic normality of the Student t-statistic, thus concluding some alternatives to the latter confidence interval that are shorter and/or have at least as high coverage probabilities. en_US
dc.subject FCLT en_US
dc.subject functional central limit theorem en_US
dc.subject confidence interval en_US
dc.subject Student process en_US
dc.subject DAN en_US
dc.subject domain of attraction normal law en_US
dc.subject FACI en_US
dc.title Exploring functional asymptotic confidence intervals for a population mean en_US
dc.degree.discipline Statistics en_US
dc.contributor.examiningcommittee Wang, Liqun (Statistics) Gumel, Abba (Mathematics) en_US
dc.degree.level Master of Science (M.Sc.) en_US
dc.description.note May 2014 en_US


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