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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 ...
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.
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 ...
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.
With the possible exception of gambling, meteorology, particularly precipitation forecasting, may be the area with which the general public is most familiar with probabilistic assessments of uncerta...
We use the fitted Pareto law to construct an accompanying approximation of the excess distribution function. A selection rule of the location of the excess distribution function is proposed based on...
In this paper we propose the use of -divergences as test statistics to verify simple hypotheses about a one-dimensional parametric diffusion process dXt = b(Xt, )dt + (Xt, )dWt, from discrete ob...
Algebraic statistics is concerned with the study of probabilistic models and techniques for statistical inference using methods from algebra and geometry. This article presents a list of open mathem...
Consider a set of order statistics that arise from sorting samples from two different populations, each with their own, possibly different distribution function. The probability that these order sta...
The joint cumulative distribution function for order statistics arising from several different populations is given in terms of the distribution function of the populations. The computational cost o...
In 1948, W. Hoeffding introduced a large class of unbiased estimators called U-statistics, defined as the average value of a real-valued k-variate function h calculated at all possible sets of k poi...
The Department of Statistics at Iowa State University has a rich tradition of developing quantitative methods for researchers in a broad range of scientific and engineering disciplines. The first step...
In 1991 Stute introduced a class of estimators called conditional U–statistics. They can be seen as a generalization of the Nadaraya-Watson estimator for the regression function, and he proved their s...
This paper is dedicated to Giorgio Picci on the occasion of his sixty-fifth birthday Summary. We begin with an interpretation of the L1-distance between two power spectral densities and then, follow...

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