共查询到20条相似文献,搜索用时 234 毫秒
1.
本文建立了左截断数据下乘积限估计的强表示结果,其误差项的收敛速度达到重对数律。作为应用,推出了乘积限估计的重对数律和强逼近等深刻结果。 相似文献
2.
Rainer Wittmann 《Probability Theory and Related Fields》1987,75(4):509-530
Summary Various sufficient conditions for the law of the iterated logarithm are given extending the main result of the author's previous
paper [16] and Kolmogoroff's law of iterated logarithm. As a byproduct we give a unified approach to various old and new stability
results 相似文献
3.
本文讨论B-值随机元配重迭对数律,给出了在通常矩条件下B-值随机元配重迭对数律不成立的一个反例,文中还指出,当随机元范数矩的条件弱于二阶矩时,配重迭对数律不成立。 相似文献
4.
T. Mikosch 《Monatshefte für Mathematik》1989,107(2):137-153
We prove a convergence rate in the functional central limit theorem for quadratic forms in independent random variables satisfying a fourth moment condition. Using this result we get a law of the iterated logarithm as well as an analogue of Chung's law of the iterated logarithm for random quadratic forms. 相似文献
5.
We consider the law of the iterated logarithm for the empirical covariance of Hilbertian autoregressive processes. As an application, we obtain laws of the iterated logarithm for the eigenvalues and associated projectors of the empirical covariance. 相似文献
6.
7.
本文考虑了一个带有贝努里反馈机制的单服务台排队系统.我们将该系统的一些数量指标如队长过程,忙期过程,负荷过程的泛函重对数律的问题转化为一个反射布朗运动相关的问题,利用已有的布朗运动的重对数率的结果,刻画了队长过程,忙期过程,负荷过程的重对数律. 相似文献
8.
在该文中,作者应用扩散过程在Holder范数下的大偏差得到了扩散过程在Holder范数下的局部Strassen重对数律. 并且还得到了重Ito积分的泛函重对数律. 相似文献
9.
T. E. Duncan 《Journal of multivariate analysis》1975,5(4):425-433
Some function space laws of the iterated logarithm for Brownian motion with values in finite and infinite dimensional vector spaces are shown to follow from Hincin's classical law of the iterated logarithm and some martingale techniques. A law of the iterated logarithm for Brownian motion in a differentible manifold is also stated. 相似文献
10.
The Chung–Smirnov law of the iterated logarithm and the Finkelstein functional law of the iterated logarithm for empirical processes are used to establish new results on the central limit theorem, the law of the iterated logarithm, and the strong law of large numbers for L-statistics with certain bounded and smooth weight functions. These results are used to obtain necessary and sufficient conditions for almost sure convergence and for convergence in distribution of some well-known L-statistics and U-statistics, including Gini's mean difference statistic. A law of the logarithm for weighted sums of order statistics is also presented. 相似文献
11.
在该文中,作者应用扩散过程在Holder范数下的大偏差得到了扩散过程在Holder范数下的局部Strassen重对数律.并且还得到了重It■积分的泛函重对数律. 相似文献
12.
Miguel A. Arcones 《Journal of Theoretical Probability》1995,8(4):877-903
We present some optimal conditions for the compact law of the iterated logarithm of a sequence of jointly Gaussian processes
in different situations. We also discuss the local law of the iterated logarithm for Gaussian processes indexed by arbitrary
index sets, in particular for self-similar Gaussian processes. We apply these results to obtain the law of the iterated logarithm
for compositions of Gaussian processes.
Research partially supported by NSF Grant DMS-93-02583. 相似文献
13.
Small ball probabilities are estimated for Gaussian processes with stationary increments when the small balls are given by various Hölder norms. As an application we establish results related to Chung's functional law of the iterated logarithm for fractional Brownian motion under Hölder norms. In particular, we identify the points approached slowest in the functional law of the iterated logarithm.Supported in part by NSF Grant DMS-9024961. 相似文献
14.
本文利用鞅的Skorohod表示, 在序列是高斯的且序列的协方差系数以幂指数速度递减的条件下,证明了相伴高斯随机变量序列的一个强不变原理\bd 作为推论得到了相伴高斯随机变量序列的重对数律和钟重对数律 相似文献
15.
We give a ??small time?? functional version of Chung??s ??other?? law of the iterated logarithm for Lévy processes with non-vanishing Brownian component. This is an analogue of the ??other?? law of the iterated logarithm at ??large times?? for Lévy processes and random walks with finite variance, as extended to a functional version by Wichura. As one of many possible applications, we mention a functional law for a two-sided passage time process. 相似文献
16.
Shin-ichiro Takazawa 《Annals of the Institute of Statistical Mathematics》2012,64(3):615-632
We study the law of the iterated logarithm in the framework of game-theoretic probability of Shafer and Vovk. We investigate
hedges under which a game-theoretic version of the upper bound of the law of the iterated logarithm holds without any condition
on Reality’s moves in the unbounded forecasting game. We prove that in the unbounded forecasting game with an exponential
hedge, Skeptic can force the upper bound of the law of the iterated logarithm without conditions on Reality’s moves. We give
two examples such a hedge. For proving these results we derive exponential inequalities in the game-theoretic framework which
may be of independent interest. Finally, we give related results for measure-theoretic probability which improve the results
of Liu and Watbled (Stochastic Processes and their Applications 119:3101–3132, 2009). 相似文献
17.
18.
J. Norkūnienė 《Lithuanian Mathematical Journal》2007,47(2):176-183
In [13], we investigated one-dimensional laws of iterated logarithm for additive functions defined on a class of combinatorial
assemblies. In this paper, we obtain a functional law of iterated logarithm.
Published in Lietuvos Matematikos Rinkinys, Vol. 47, No. 2, pp. 211–219, April–June, 2007. 相似文献
19.
For right censored data, the law of the iterated logarithm of the Kaplan-Meier integral is established. As an application, the authors prove the law of the iterated logarithm for weighted least square estimates of randomly censored linear regression model. 相似文献
20.
For a sequence of independent random elements in a Banach space, we obtain an upper bound for moments of the supremum of normalized
sums in the law of the iterated logarithm by using an estimate for moments in the law of large numbers. An example of their
application to the law of the iterated logarithm in Banach lattices is given.
__________
Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 58, No. 5, pp. 653–665, May, 2006. 相似文献