Search Results - "Szyszkowicz, Barbara"
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A Conversation with Don Dawson
Published in Statistical science (01-11-2021)“…Donald Andrew Dawson (Don Dawson) was born in 1937. He received a bachelor's degree in 1958 and a master's degree in 1959 from McGill University and a Ph.D. in…”
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Correction: Strong Invariance Principles for Sequential Bahadur-Kiefer and Vervaat Error Processes of Long-Range Dependent Sequences
Published in The Annals of statistics (01-12-2007)Get full text
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Donsker's Theorem for Self-Normalized Partial Sums Processes
Published in The Annals of probability (01-07-2003)“…Let X,X1,X2,... be a sequence of nondegenerate i.i.d. random variables with zero means. In this paper we show that a self-normalized version of Donsker's…”
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Strong invariance principles for sequential Bahadur–Kiefer and Vervaat error processes of long-range dependent sequences
Published in The Annals of statistics (01-12-2007)Get full text
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Strong Invariance Principles for Sequential Bahadur-Kiefer and Vervaat Error Processes of Long-Range Dependent Sequences
Published in The Annals of statistics (01-04-2006)“…In this paper we study strong approximations (invariance principles) of the sequential uniform and general Bahadur-Kiefer processes of long-range dependent…”
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Darling-Erdős Theorem for Self-Normalized Sums
Published in The Annals of probability (01-04-2003)“…Let X,X1,X2,... be i.i.d. nondegenerate random variables, Sn=∑j=1 nXjand Vn 2=∑j=1 nXj 2. We investigate the asymptotic behavior in distribution of the maximum…”
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Change in the Mean in the Domain of Attraction of the Normal Law
Published in Österreichische Zeitschrift für Statistik (01-04-2016)“…Some weighted approximations in probability of self-normalized and Studentized partial sums processes are reviewed and also described in the context of…”
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Weighted Multivariate Empirical Processes and Contiguous Change-Point Analysis
Published in Lecture notes-monograph series (01-01-1994)“…Let X =$X=(X^{(1)},\cdots ,X^{(d)})$,$X_{i}=(X_{i}^{(1)},\cdots ,X_{i}^{(d)})$, i = 1, 2,..., be independent random vectors in$\text{IR}^{d}$, d ≥ 1. When…”
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Convergence of weighted partial sums when the limiting distribution is not necessarily Radon
Published in Stochastic processes and their applications (01-05-1999)“…Let B w be a non-separable Banach space of real-valued functions endowed with a weighted sup-norm. We consider partial sum processes as random functions with…”
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Weak convergence of stochastic processes in weighted metrics and their applications to contiguous changepoint analysis
Published 01-01-1992“…This dissertation is concerned with asymptotic methods in probability and statistics. In particular, we deal with invariance principles in terms of studying…”
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Dissertation -
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Correction. Strong invariance principles for sequential Bahadur--Kiefer and Vervaat error processes of long-range dependent sequences
Published 28-03-2008“…Annals of Statistics 2007, Vol. 35, No. 6, 2815-2817 Correction to The Annals of Statistics (2006) 34, 1013--1044 [URL:…”
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On weighted approximations in $D[0, 1]$ with applications to self-normalized partial sum processes
Published 08-11-2007“…Let $X, X_1, X_2,...$ be a sequence of non-degenerate i.i.d. random variables with mean zero. The best possible weighted approximations are investigated in…”
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Asymptotics of Studentized U-type processes for changepoint problems
Published 08-11-2007“…This paper investigates weighted approximations for studentized $U$-statistics type processes, both with symmetric and antisymmetric kernels, only under the…”
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Strong invariance principles for sequential Bahadur--Kiefer and Vervaat error processes of long-range dependent sequences
Published 03-07-2006“…Annals of Statistics 2006, Vol. 34, No. 2, 1013-1044 In this paper we study strong approximations (invariance principles) of the sequential uniform and general…”
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