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The Annals of Probability, ISSN 0091-1798, 7/2003, Volume 31, Issue 3, pp. 1228 - 1240
Let X,X ,X ,... 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... 
Mathematical theorems | Central limit theorem | Statistical theories | Probability theory | Partial sums | Mathematical moments | Random variables | Probabilities | Law of sines | Self-normalized sums | Arc sine law | Donsker's theorem | arc sine law | STATISTICS & PROBABILITY | self-normalized sums | 60F17 | 60F05 | 62E20
Journal Article
ANNALS OF STATISTICS, ISSN 0090-5364, 12/2007, Volume 35, Issue 6, pp. 2815 - 2817
Journal Article
Annals of Statistics, ISSN 0090-5364, 12/2007, Volume 35, Issue 6, pp. 2815 - 2817
Journal Article
The Annals of Probability, ISSN 0091-1798, 4/2003, Volume 31, Issue 2, pp. 676 - 692
Let X,X ,X ,... be i.i.d. nondegenerate random variables, S =∑ X and V =∑ X . We investigate the asymptotic behavior in distribution of the maximum of... 
Mathematics | Mathematical theorems | Random variables | Logarithms | Statistical theories | Self-normalized sums | Erdos-Feller-Kolmogorov-Petrovski test | Darling-Erdos theorem | STATISTICS & PROBABILITY | self-normalized sums | RANDOM-VARIABLES | Darling--Erdős theorem | Erdős--Feller--Kolmogorov--Petrovski test | 60F05 | 62E20 | 60F15
Journal Article
2015, 1st ed. 2015., Fields Institute Communications, ISBN 1493930753, Volume 76
This book contains articles arising from a conference in honour of mathematician-statistician Miklόs Csörgő on the occasion of his 80th birthday, held in... 
Mathematics | Probabilities
Web Resource
2015, 1st ed. 2015., Fields Institute Communications, ISBN 1493930753, Volume 76
This book contains articles arising from a conference in honour of mathematician-statistician Miklόs Csörgő on the occasion of his 80th birthday, held in... 
Mathematics | Probabilities
Web Resource
2015, 1st ed. 2015, Fields Institute Communications, ISBN 1493930753, Volume 76, 401
This book contains articles arising from a conference in honour of mathematician-statistician MiklI s Csorgo on the occasion of his 80th birthday, held in... 
Distribution (Probability theory | Probability Theory and Stochastic Processes | Mathematics | Stochastic partial differential equations
eBook
Stochastic Processes and their Applications, ISSN 0304-4149, 1993, Volume 45, Issue 2, pp. 295 - 308
We prove an optimal asymptotic result for weighted L p -distance of partial sum processes of independent identically distributed random variables. Using this... 
Lp-distance | random integrals | weight functions | partial sums | Gaussian processes | U-statistics | changepoint problem | distance | partial sums Gaussian processes random integrals Lp-distance weight functions U-statistics changepoint problem
Journal Article
Mathematical proceedings of the Cambridge Philosophical Society, ISSN 0305-0041, 09/1992, Volume 112, Issue 2, pp. 431 - 447
Let {N(x), x ≥ 0} be a non-homogeneous, also called non-stationary, Poisson process with density function λ(x), x ≥ 0. We consider the problem of testing the... 
QUANTILE PROCESSES | MATHEMATICS | CHANGEPOINT PROBLEMS
Journal Article
The Annals of Statistics, ISSN 0090-5364, 12/2007, Volume 35, Issue 6, pp. 2815 - 2817
Annals of Statistics 2007, Vol. 35, No. 6, 2815-2817 Correction to The Annals of Statistics (2006) 34, 1013--1044 [URL:... 
Mathematical sequences | Mathematical theorems | Approximation
Journal Article
Mathematical proceedings of the Cambridge Philosophical Society, ISSN 0305-0041, 11/1992, Volume 112, Issue 3, pp. 613 - 629
Let S(N(t)) be defined by where {N(t), t ≥ 0} is a Poisson process with intensity parameter 1/μ > 0 and {Xi i ≥ 1} is a family of independent random variables... 
QUANTILE PROCESSES | MATHEMATICS | PONTOGRAMS
Journal Article
Statistics & Risk Modeling, ISSN 2193-1402, 01/1996, Volume 14, Issue 1, pp. 53 - 72
Journal Article
Handbook of Statistics, ISSN 0169-7161, 1998, Volume 16, pp. 573 - 630
Journal Article
Statistics and Probability Letters, ISSN 0167-7152, 1994, Volume 19, Issue 2, pp. 153 - 159
We consider empirical processes based on independent observations. We prove that the weak convergence of weighted empirical processes of i.i.d. random... 
Empirical process | weight functions | weak convergence | Brownian bridge | contiguity | QUANTILE PROCESSES | WEIGHT FUNCTIONS | PARTIAL SUMS | APPROXIMATION | CONTIGUITY | STATISTICS & PROBABILITY | BROWNIAN BRIDGE | WEAK CONVERGENCE | EMPIRICAL PROCESS | Empirical process Brownian bridge weight functions contiguity weak convergence
Journal Article
Statistics and Probability Letters, ISSN 0167-7152, 1991, Volume 11, Issue 4, pp. 299 - 308
Journal Article
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