共查询到19条相似文献,搜索用时 62 毫秒
1.
设 X_1,X_2,…,X_n 是来自分布 F 的独立同分布子样,T(X_1,…,X_n;;F)是依赖 X_1,X_2,…,X_n 且与 F 有关的随机变量.又设 F_n 为基于 X_1,X_1,…,X_n 的观察值 x_1,x_2,…x_n 的经验分布函数,而 Y_1,Y_2,…,Y_n 为来自 F_n 的独立同分布子样.所谓自助(bootstrap)法,即是以 T(Y_1,…,Y_n;F_n)在 F_n 下的分布去估计 T(X_1,…,X_n;F)在 F 下的分布.Bickol 与Freedman 在[1]中讨论了 U-统计量自助逼近的可能性.设 h(x,y)为关于变元对称的 Borel 相似文献
2.
Let Vn be a von Mises Statistice with kernel φ(x1,x2,… ,xm). 相似文献
4.
在假设检验的过程中,对一个参数的检验法一般来说是不唯一的.对于正态总体,当均值已知,而就方差进行检验时,若能选用自由度为n的χ2统计量,则其为无偏检验,而且为一定标准下的最佳检验. 相似文献
5.
常见连续型统计分布的一点注记 总被引:1,自引:0,他引:1
正态分布是概率论与数理统计中最重要的一个分布,本文讨论了常见的连续型统计分布与标准正态分布间的关系,结果表明:几乎所有的常见连续型统计分布都是标准正态分布的函数. 相似文献
6.
7.
关于偏微分不等式的一点注记 总被引:1,自引:0,他引:1
龚昇 《数学年刊A辑(中文版)》1984,(6)
本文证明了如果多复变数的全纯函数满足一些偏微分不等式,则可导出函数本身的一些性质,如有界性,实部大于零等。第一部分讨论C~n中的平衡域的情形,这时偏微分不等式为一阶的。第二部分讨论C~n中的多圆柱的情形,这时偏微分不等式是二阶的。 相似文献
8.
9.
10.
关于推广的 U 统计量的若干极限性质 总被引:2,自引:0,他引:2
设{X_(ij),i≥1),j=1,2,…,c,是相互独立的 c 个随机序列,而每个序列,都是由 iid 随机变量组成的.又设Φ(x_(ij)=1,2,…,m_j,j=1,2,…,c)是 R~m 上的可测函数.固定其余变量,Φ是x_(1j),…,x_(m_jj)的对称函数,j=1,2,…,c.其中 m=m_1+…+m_c.P.K.Sen 引进了下面推广的 U 统计量. 相似文献
11.
Carlos Martins-Filho Feng Yao 《Annals of the Institute of Statistical Mathematics》2006,58(2):389-406
We establish the
asymptotic equivalence of V and U statistics when the statistic’s kernel depends on n. Combined with a lemma of B. Lee this result provides conditions under which U statistics projections and V statistics are
asymptotically equivalent. The use of this equivalence in nonparametric regression models is illustrated with several examples;
the estimation of conditional variances, skewness, kurtosis and the construction of a nonparametric R-squared measure. 相似文献
12.
Helena Ferreira 《Extremes》2000,3(4):385-392
Let
be a sequence of identically distributed variables. We study the asymptotic distribution of
, where Y
[r:n] denotes the concomitant of the rth order statistic X
r:n
, corresponding to
, and
is held fixed while
. Conditions are given for the
and
to have the same asymptotic behavior as that we would apply if
were i.i.d. The result is illustrated with a simple linear regression model
, where
is a stationary sequence with extremal index
. 相似文献
13.
Nickos Papadatos 《Annals of the Institute of Statistical Mathematics》1997,49(1):117-121
The maximum variance of order statistics from a symmetrical parent population is obtained in terms of the population variance. The proof is based on a suitable representation for the variance of order statistics in terms of the parent distribution function. 相似文献
14.
设总体中个体总数为N,样本容量为n(nN),且总体有有限均值μ,方差σ2,当抽样是无放回时,证明了σ()=(N-n/N-i)~(1/2)σ/(n)~(1/2),其中σ()为的标准差. 相似文献
15.
Th. Friedrich 《Mathematische Nachrichten》1985,120(1):139-140
16.
B. G. Kang 《代数通讯》2013,41(9):3153-3165
We define a nonzero ideal A of an integral domain R to be a t-SFT-ideal if there exist a finitely generated ideal B ? A and a positive integer k such that a k ? B v for each a ? A t , and a domain R to be a t-SFT-ring if each nonzero ideal of R is a t-SFT-ideal. This article presents a number of basic properties and stability results for t-SFT-rings. We show that an integral domain R is a Krull domain if and only if R is a completely integrally closed t-SFT-ring; for an integrally closed domain R, R is a t-SFT-ring if and only if R[X] is a t-SFT-ring; if R is a t-SFT-domain, then t ? dim R[[X]] ≥ t ? dim R. We also give an example of a t-SFT Prüfer v-multiplication domain R such that t ? dim R[[X]] > t ? dim R. 相似文献
17.
18.
Hassan Yousefi 《Journal of Functional Analysis》2006,237(1):321-337
We prove some new results on Hadwin's general version of reflexivity that reduce the study of E-reflexivity (or E-hyperreflexivity) of a linear subspace to a smaller linear subspace. By applying our abstract results, we present a simple proof of D. Hadwin's theorem, which states that every C∗-algebra is approximately hyperreflexive. We also prove that the image of any C∗-algebra under any bounded unital homomorphism into the operators on a Banach space is approximately reflexive. We introduce a new version of reflexivity, called approximate algebraic reflexivity, and study its properties. 相似文献
19.
Alfred J. van der Poorten. 《Mathematics of Computation》2003,72(244):1935-1946
This note is a detailed explanation of Shanks-Atkin NUCOMP--composition and reduction carried out ``simultaneously'--for all quadratic fields, that is, including real quadratic fields. That explanation incidentally deals with various ``exercises' left for confirmation by the reader in standard texts. Extensive testing in both the numerical and function field cases by Michael J Jacobson, Jr, reported elsewhere, confirms that NUCOMP as here described is in fact efficient for composition both of indefinite and of definite forms once the parameters are large enough to compensate for NUCOMP's extra overhead. In the numerical indefinite case that efficiency is a near doubling in speed already exhibited for discriminants as small as .