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TSALEIS' ENTROPY BOUNDS FOR GENERALIZED ORDER STATISTICS
Generalized order statistics order statistics progressive type I1 censored order statistics
2009/9/21
We present sharp bounds for expectations of generalized
order statistics with random indices expressed in terms of Tsallis'
entropy. The bounds are attainable and provide new characterizations
of s...
A NOTE ON THE ALMOST SURE CONVERGENCE OF CENTRAL ORDER STATISTICS
Central order statistics almost sure limit theorem summation methods
2009/9/18
We prove almost sure versions of distributional limit
theorems for central order statistics. We develop a new method which
not only gives a simplified proof of existing results in the literature, bu...
Copula Associated to Order Statistics。
The Limiting Copula of the Two Largest Order Statistics of Independent and Identically Distributed Samples
Limiting Copula Order Statistics Distributed Samples
2009/9/17
The Limiting Copula of the Two Largest Order Statistics of Independent and Identically Distributed Samples。
Almost sure convergence of extreme order statistics
almost sure convergence order statistics
2009/9/16
Let $M_{n}^{(k)}$ denote the $k$th largest maximum of a sample $(X_{1},X_{2}, \ldots, X_{n})$ from parent $X$ with continuous distribution. Assume there exist normalizing constants $a_{n}>0$, $b_{n}in...
《The Electronic Journal of Statistics》 (EJS)
The Electronic Journal of Statistics research articles short notes
2009/9/16
The Electronic Journal of Statistics (EJS) publishes research articles and short notes in theoretical, computational and applied statistics. The journal is open access. Articles are refereed and are h...
《PROBABILITY AND MATHEMATICAL STATISTICS》
PROBABILITY AND MATHEMATICAL STATISTICS original contributions the theory of probability and mathematical statistics
2009/9/16
PROBABILITY AND MATHEMATICAL STATISTICS is published by the Kazimierz Urbanik Center for Probability and Mathematical Statistics, and is sponsored jointly by Wrocław University and Wrocław U...
Tail behaviour of multiple random integrals and $U$-statistics
multiple Wiener--Itô integrals (degenerate) $U$-statistics large-deviation type estimates diagram formula
2009/5/18
This paper contains sharp estimates about the distribution of multiple random integrals of functions of several variables with respect to a normalized empirical measure, about the distribution of $U$-...
On exchangeable random variables and the statistics of large graphs and hypergraphs
random variables large graphs large hypergraphs
2009/5/18
In this survey we recall the basic results of the theory of exchangeable laws, and then explain the probabilistic versions of various interesting questions from graph and hypergraph theory that their ...
The Law of Large Numbers for U-statistics Under Absolute Regularity
Law of large numbers U-statistics absolute regularity
2009/5/8
We prove the law of large numbers for U-statistics whose underlying sequence of random variables satisfies an absolute regularity condition ($beta$-mixing condition) under suboptimal conditions.
Asymptotics for Products of Sums and U-statistics
central limit theorem lognormal distribution products of sums records U-statistics
2009/4/29
The product of subsequent partial sums of independent, identically distributed, square integrable, positive random variables is asymptotically lognormal. The result extends in a rather routine way to ...
Poisson Statistics for the Largest Eigenvalues of Wigner Random Matrices with Heavy Tails
random matrices largest eigenvalues Poisson statistics
2009/4/28
We study large Wigner random matrices in the case when the marginal distributions of matrix entries have heavy tails. We prove that the largest eigenvalues of such matrices have Poisson statistics.
2009 International Institute of Applied Statistics Studies（2009国际应用统计学术研讨会）
2009 国际应用统计 学术研讨会
2009/4/23
随着经济、科技与信息的快速发展，统计理论和统计技术在各个行业中的应用越来越广泛，世界范围内以加速新理论、新方法推广应用为宗旨的学术交流也越来越迫切。为构建交流平台，增进世界范围内各个行业领域应用统计的相互了解，由中国现场统计研究会统计评价及监测预警研究分会、澳大利亚澳华学者出版社、山东省应用统计学会联合发起，在去年成功举办“2008国际应用统计学术研讨会”的基础上（去年的会议被教育部 “学术会议在...
Large and Moderate Deviations for Hotelling's T^2-Statistics
largedeviation moderate deviation self-normalized partial sums law of the iterated logarithm
2009/4/22
Let X , X1, X 2 , ... be i.i.d. R d-valued random variables. We prove large and moderate deviations for Hotelling's T2-statistic when X is in the generalized domain of attraction of the normal law.
Large and Moderate Deviations for Hotelling's T^2-Statistics
random variable deviation normal law Hotelling's T^2-Statistics
2009/4/1
Let X , X1, X 2 , ... be i.i.d. R d-valued random variables. We prove large and moderate deviations for Hotelling's T2-statistic when X is in the generalized domain of attraction of the normal law.