共查询到20条相似文献,搜索用时 468 毫秒
1.
E. Bolthausen 《Probability Theory and Related Fields》1986,72(2):305-318
Summary LetX
i,iN, be i.i.d.B-valued random variables whereB is a real separable Banach space, and a mappingB R. Under some conditions an asymptotic evaluation of
is possible, up to a factor (1+o(1)). This also leads to a limit theorem for the appropriately normalized sums
under the law transformed by the density exp
. 相似文献
2.
Hannelore Liero 《Probability Theory and Related Fields》1989,82(4):587-614
Let (X, Y) be a dx-valued random vector and let r(t)=E(Y/X=t) be the regression function of Y on X that has to be estimated from a sample (X
i, Yi), i=1,..., n. We establish conditions ensuring that an estimate of the form
相似文献
3.
Define
, where
is a symmetric U-type statistic, H
k() is the Hermite polynomial of degree k, and {X, X
n, n1} are independent identically distributed binary random variables with Pr(X{–1, 1}})=1. We show that
according as EX=0 or EX0, respectively. 相似文献
4.
O. L. Vinogradov 《Journal of Mathematical Sciences》2003,114(5):1608-1627
Let
be the space of 2-periodic functions whose (r – 1)th-order derivative is absolutely continuous on any segment and rth-order derivative belongs to L
p, S
2n,m
is the space of 2-periodic splines of order m of minimal defect over the uniform partition
. In this paper, we construct linear operators
such that
5.
William Stout 《Probability Theory and Related Fields》1979,49(1):23-32
Summary Let {Y
i} be iid with EY
1=0, EY
1
2
=1. Let {Xi} be iid normal mean zero, variance one random variables. According to Strassen's first almost sure invariance principle {X
i} and {Y
i} can be reconstructed on a new probability space without changing the distribution of each sequence such that
a.s., thus improving on the trivial bound obtainable from the law of the iterated logarithm:
a.s. In this work we establish analogous improvements for symmetric {Y
i} in the domain of normal attraction to a symmetric stable law with index 0<<2. (We make this assumption of symmetry in order to avoid messy details concerning centering constants.) Let {X
i} be iid symmetric stable random variables with index 0<<2. Then, for example, hypotheses are stated which imply for a given satisfying 2> that
a.s., thus improving on the trivial bound:
a.s., >0.This research was supported in part by a National Science Foundation grant, USA 相似文献
6.
The Asymptotic Distributions of Sums of Records 总被引:3,自引:0,他引:3
LetX
1,X
2... be a sequence of i.i.d. random variables and let
be the associated (upper) record sequence. Resnick (1973) identified the class of all possible limit distributions for
. Here we focus on sums of records,
. We describe three cases in which T
n can be normalized to have a non-trivial limiting distribution. The problem of identifying all possible limit laws for normalized sums of records remains open. 相似文献
7.
D. Romero 《Journal of Optimization Theory and Applications》1990,66(1):137-147
TheK-dimensional version of two transportation-like problems is posed and efficiently solved. The caseK=2 goes as follows: Given an (m,n)-matrixA of reals, a realm-vectoru, and a realn-vectorv, find a real (m,n)-matrixX minimizing
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