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Archives of Disease in Childhood, ISSN 0003-9888, 02/1958, Volume 33, Issue 167, pp. 24 - 29
Journal Article
Statistics and Probability Letters, ISSN 0167-7152, 1991, Volume 11, Issue 4, pp. 299 - 308
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
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
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
Lecture notes-monograph series, ISSN 0749-2170, 1/1994, Volume 23, pp. 93 - 98
Let X = , , i = 1, 2,..., be independent random vectors in , d ≥ 1. When testing for the possibility of having a change in the distribution of a sequence of... 
Mathematics | Distribution functions
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 & Risk Modeling, ISSN 2193-1402, 01/1996, Volume 14, Issue 1, pp. 53 - 72
Journal Article
Statistics & Risk Modeling, ISSN 2193-1402, 04/1997, Volume 15, Issue 4, pp. 365 - 378
Journal Article
Handbook of Statistics, ISSN 0169-7161, 1998, Volume 16, pp. 631 - 688
Journal Article
Handbook of Statistics, ISSN 0169-7161, 1998, Volume 16, pp. 573 - 630
Journal Article
Stochastic Processes and their Applications, ISSN 0304-4149, 1999, Volume 81, Issue 1, pp. 81 - 101
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
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
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... 
Mathematics - Probability
Journal Article
11/2007
This paper investigates weighted approximations for studentized $U$-statistics type processes, both with symmetric and antisymmetric kernels, only under the... 
Mathematics - Probability
Journal Article
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