The Experts below are selected from a list of 63 Experts worldwide ranked by ideXlab platform
Rigo Pietro - One of the best experts on this subject based on the ideXlab platform.
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Asymptotic behaviour of the empirical process for exchangeable data
Elsevier B.V., 2006Co-Authors: Berti Patrizia, Pratelli Luca, Rigo PietroAbstract:AbstractLet S be the space of real cadlag Functions on R with finite limits at ±∞, equipped with uniform distance, and let Xn be the empirical process for an exchangeable sequence of random variables. If regarded as a random element of S, Xn can fail to converge in distribution. However, in this paper, it is shown that E*f(Xn)→E*f(X) for each bounded Uniformly Continuous Function f on S, where X is some (nonnecessarily measurable) random element of S. In view of this fact, among other things, a conjecture raised in [P. Berti, P. Rigo, Convergence in distribution of nonmeasurable random elements, Ann. Probab. 32 (2004) 365–379] is settled and necessary and sufficient conditions for Xn to converge in distribution are obtained
Pietro Rigo - One of the best experts on this subject based on the ideXlab platform.
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Asymptotic behaviour of the empirical process for exchangeable data
2006Co-Authors: Patrizia Berti, Luca Pratelli, Pietro RigoAbstract:Let S be the space of real cadlag Functions on R with finite limits at 1, equipped with uniform distance, and let Xn be the empirical process for an exchangeable sequence of random variables. If regarded as a random element of S, Xn can fail to converge in distribution. However, in this paper, it is shown that Ef \uf0Xn e ! Ef \uf0X e for each bounded Uniformly Continuous Function f on S, where X is some (nonnecessarily measurable) random element of S. In view of this fact, among other things, a conjecture raised in [P. Berti, P. Rigo, Convergence in distribution of nonmeasurable random elements, Ann. Probab. 32 (2004) 365\u2013379] is settled and necessary and sufficient conditions for Xn to converge in distribution are obtained
Fan Xinhua - One of the best experts on this subject based on the ideXlab platform.
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several methods to test a Uniformly Continuous Function
Journal of Changzhou Institute of Technology, 2004Co-Authors: Fan XinhuaAbstract:This paper gives an easy and general method to test a Uniformly continous Function by a property of Uniformly continous Function.
Zhang Jin - One of the best experts on this subject based on the ideXlab platform.
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the continuation problem of Continuous Function and Uniformly Continuous Function in sets
Journal of Daqing Normal University, 2006Co-Authors: Zhang JinAbstract:If f(x) is Uniformly Continuous Function in the open interval(a,b),the existence of limit of f(x) on the point of a and b can be proved(Here it refers to the existence of single-sided limit).Consequently,if limited value is regarded as the value of f(x) on the point of a and b,f(x) will be prolonged to closed interval ,and will be Uniformly Continuous in .Similarly,if the concepts of continuity and uniform continuity were extended to a general set ER ,the same conclusion could be drawn.
Berti Patrizia - One of the best experts on this subject based on the ideXlab platform.
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Asymptotic behaviour of the empirical process for exchangeable data
Elsevier B.V., 2006Co-Authors: Berti Patrizia, Pratelli Luca, Rigo PietroAbstract:AbstractLet S be the space of real cadlag Functions on R with finite limits at ±∞, equipped with uniform distance, and let Xn be the empirical process for an exchangeable sequence of random variables. If regarded as a random element of S, Xn can fail to converge in distribution. However, in this paper, it is shown that E*f(Xn)→E*f(X) for each bounded Uniformly Continuous Function f on S, where X is some (nonnecessarily measurable) random element of S. In view of this fact, among other things, a conjecture raised in [P. Berti, P. Rigo, Convergence in distribution of nonmeasurable random elements, Ann. Probab. 32 (2004) 365–379] is settled and necessary and sufficient conditions for Xn to converge in distribution are obtained
