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Given the importance of binomial coefficients and combinatorial sums in many areas of mathematics, it is not surprising that divisibility properties and congruences of these
Abstract : The Green function of a transient symmetric Markov process can be interpreted as the covariance of a centered Gaussian process.. This relation leads to several
The spectral norm is also of the same order for other related random matrix ensembles, including random Hankel matrices.. A family of random variables is uniformly subgaussian if
We also discuss applications of these bounds to the central limit theorem, simple random sampling, Poisson- Charlier approximation and geometric approximation using
Linde, Approximation of Gaussian random fields: general results and optimal wavelet representation of the Lévy fractional motion.. Taqqu, Rate optimality of wavelet
Some types of self-similar, long-range dependence, centered Gaussian processes have been obtained from occupation time fluctuation limits of certain particle systems (they represent
The special case of exponentially distributed random variables was studied by Engel and Leuenberger (2003): Such random variables satisfy the first digit law only ap- proximatively,
Mean convergence theorems and weak laws of large numbers for double arrays of random variables. Inequalities with applications to the weak convergence of random pro- cesses
