A classical theorem of Rényi [26] for the number of empty boxes, denoted by μ0(n,M), in a sequence of n random allocations of indistinguishable balls into M boxes with equal probability 1/M , can be stated as follows: If the variance of μ0(n,M) tends to infinity with n then μ0(n,M) is asymptotically normally distributed. This result, seldom stated in this form in the literature, was proved by R...

In this paper we describe how the connections between affine forms, zonotopes, and Gaussian distributions help us devise an automated cue integration technique for tracking deformable models. This integration technique is based on the confidence estimates of each cue. We use affine forms to bound these confidences. Affine forms represent bounded intervals, with a well-defined set of arithmetic ...

Consider a Markov chain X assumed to be positive recurrent with limiting probability distribution used to construct a U-statistics. Whereas the asymptotic properties of U -statistics based on independent and identically distributed data are well understood since the sixties the study of this speci…c class of statistics for dependent data has recently received special attention in the statistica...