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ITERATED: 作品数：137被引量：159H指数：7; 导出分析报告; 相关领域：自动化与计算机技术理学更多>>; 相关作者：张伟年张雅绮林杞楠郭继昌更多>>; 相关机构：中国科学院成都分院中山大学天津大学更多>>; 相关期刊：更多>>; 相关基金：国家自然科学基金国家教育部博士点基金教育部留学回国人员科研启动基金广东省自然科学基金更多>>

LIL for the Length of the Longest Increasing Subsequences: 《Acta Mathematicae Applicatae Sinica》2020年第2期283-293,共11页Zhong-gen SU; supported by the National Natural Science Foundation of China(Nos.11871425,11731012);the Fundamental Research Funds for Central Universities.; Let X1,X2,…,Xn,…be a sequence of i.i.d.random variables uniformly distributed on[0;1],and denote by Ln the length of the longest increasing subsequences of X1,X2,…,Xn.Consider the poissonized version Hn based on Ha...; 关键词：Borel-Cantelli LEMMA Hammersley's representation law of the ITERATED LOGARITHM longest INCREASING SUBSEQUENCES

On the law of the iterated logarithm for Brownian motion on compact manifolds: 《Science China Mathematics》2019年第8期1511-1518,共8页Cheng Ouyang Jennifer Pajda-De La O; supported by Collaboration Grants for Mathematicians of the Simons Foundation (Grant No. 355480); By taking a functional analytic point of view,we consider a family of distributions(continuous linear functionals on smooth functions),denoted by{μt,t>0},associated to the law of the iterated logarithm for Brownian m...; 关键词：LAW of ITERATED LOGARITHM compact MANIFOLD BROWNIAN motion

On the Increments of Stable Subordinators: 《Applied Mathematics》2017年第5期663-670,共8页Abdelkader Bahram Bader Almohaimeed; Let be a stable subordinator defined on a probability space and let at for t>0?be a non-negative valued function. In this paper, it is shown that under varying conditions on at, there exists a function such that where...; 关键词：INCREMENTS STABLE Subordinators ITERATED LOGARITHM LAWS

Study of the Convergence of the Increments of Gaussian Process: 《Applied Mathematics》2015年第6期933-939,共7页Abdelkader Bahram Shaban A. El-Shehawy; Let be a Gaussian process with stationary increments . Let be a nondecreasing function of t with . This paper aims to study the almost sure behaviour of where with and is an increasing sequence diverging to .; 关键词：WIENER PROCESS Gaussian PROCESS Law of the ITERATED LOGARITHM Regularly VARYING Function

A Precise Asymptotic Behaviour of the Large Deviation Probabilities for Weighted Sums: 《Applied Mathematics》2011年第9期1175-1181,共7页Gooty Divanji Kokkada Vidyalaxmi; Let {Xn, n ≥ 1} be a sequence of independent and identically distributed positive valued random variables with a common distribution function F. When F belongs to the domain of partial attraction of a semi stable law...; 关键词：Large DEVIATIONS LAW of ITERATED LOGARITHM Semi-Stable LAW Domain of Partial ATTRACTION Weighted SUMS

Iterated Logarithm Laws on GLM Randomly Censored with Random Regressors and Incomplete Information: 《Applied Mathematics》2011年第3期363-368,共6页Qiang Zhu Zhihong Xiao Guanglian Qin Fang Ying; In this paper, we define the generalized linear models (GLM) based on the observed data with incomplete information and random censorship under the case that the regressors are stochastic. Under the given conditions, ...; 关键词：Generalized Linear Model INCOMPLETE Information Stochastic Regressor ITERATED LOGARITHM LAWS

PRECISE RATE IN THE LAW OF ITERATED LOGARITHM FOR ρ-MIXING SEQUENCE被引量：8: 《Applied Mathematics(A Journal of Chinese Universities)》2003年第4期482-488,共7页Huang Wei Zhang Lixin Jiang YeDept.of Math.,Zhejiang Univ.,Hangzhou 310028,China.; Research supported by the National Natural Science Foundation of China (1 0 0 71 0 72 ); Let {X,X n;n≥1} be a strictly stationary sequence of ρ-mixing random variables with mean zero and finite variance. Set S n=n k=1X k,M n=max k≤n｜S k｜,n≥1. Suppose lim n→∞ES2 n/n=∶σ2>0 and ∞n=1...; 关键词：mixing random variable law of iterated logarithm tail probabilities

LOCAL ASYMPTOTIC PROPERTIES OF HAZARD RATE ESTIMATORS FOR TRUNCATED AND CENSORED DATA: 《Journal of Systems Science & Complexity》2001年第4期413-424,共12页SUN Liuquan, WU Guofu, WEI Xianhua (Institute of Applied Mathematics, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing 100080, China); This research is supported by the National Natural Science Foundation of China.; Functional laws of the iterated logarithm are obtained for cumulative hazard processes in the neighborhood of a fixed point when the data are subject to left truncation and right censorship. On the basis of these resu...; 关键词：TRUNCATED and censored data hazard rate kernel ESTIMATION nearest NEIGHBOR ESTIMATION law of the ITERATED logarithm.

THE BERRY-ESSEEN BOUND AND LIL PP CM STATISTIC TESTING UNIFORM DISTRIBUTION ON SPHERE ABOUT DIMENSION AND SAMPLE SIZE: 《Systems Science and Mathematical Sciences》2000年第2期136-145,共10页LIU Yixing CHENG Ping (Institute of Systems Science, Academia Sinica, Beijing 100080, China); Cheng[1] gave the limit distribution of weighted PP Cramer-Von Mises test statistic when dimension and sample size tend to infinity simultaneously under the underlying distribution being uniform distribution on SP-1 =...; 关键词：PP CM statistic Berry-Esseen BOUND law of ITERATED LOGARITHM large sample size.

BAHADUR'S REPRESENTATION FOR NEAREST NEIGHBOR MEDIAN ESTIMATES: THE FIXED DESIGN CASE: 《Systems Science and Mathematical Sciences》1999年第2期133-144,共12页YANG Ying(Department of Probability and Statistics, Peking University, Beijing 100871, China)WANG Bingzhang(Department of Mathematics and Information Science, Yantai University, Yantai 264005, China); Consider the nonparametric regression model Yi=g(xi) +ei, i=1, 2,...,where g is an unknown function defined on the interval [0, 1], the fixed design points xi(i≥1) are known and ei’s are i.i.d. random variables with...; 关键词：Nearest neighbor MEDIAN ESTIMATES Bahadur’s REPRESENTATION asymptotic NORMALITY law of ITERATED logarithm.

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