【摘 要】
：
For a given continuous random variable X with cdf F(x), it is requested, in resampling technique, to construct a discrete random variable Y with probability
【机 构】
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BNU-HKBUUnitedInternationalCollege
【出 处】
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The 24th International Workshop on Matrices and Statistics(第
论文部分内容阅读
For a given continuous random variable X with cdf F(x), it is requested, in resampling technique, to construct a discrete random variable Y with probability distribution P(Y= yj)=pj, j=1,…,n. Denote the cdf of Y by G(y). Obviously, we wish difference |F(x) -G(x)| to as small as possible for each x. Especially, we wish X and Y have the same lower order moments. In this talk we focus on the arcsine distribution and propose to use the number-theoretic method for constructing Y such that Y and X have the same moments of all orders, if the number of points n is larger than the order of moment. It is a surprising property of the arcsine distribution. We also apply this Y has a perfect performance in resampling.
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