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It is common in applications to have a number of variables with a comparable order of magnitude with the number of observation samples; the analysis of the asymptotic
Abstract. The uniqueness of the non-negative fixed points of the associated smooth- ing transform is considered. New results on the asymptotic behaviour of the solutions near zero
(ii) the p -th mean exponential convergence of the solution to zero (for all p > 0), and (iii) the exponential integrability of the entries of the kernel K , the exponential
The main purpose of this article is to study the symmetric martingale property and capacity defined by G-expectation introduced by Peng (cf. We show that the G-capacity can not
Key words: random fields, Gaussian processes, fractional Brownian motion, fractal mea- sures, self–similar measures, small deviations, Kolmogorov numbers, metric entropy,
Section 3 gives estimates on the first and second moments of the killed branching random walk, while Section 4 contains the asymptotics on the tail distribution of the maximal
A functional large deviations principle for quadratic forms of Gaussian stationary processes. Large deviations for Poisson random measures and processes with
Keywords and Phrases: Univalent, starlike, convex, inclusion relations, gener- alized hypergeometric functions, δ− neighborhoods, inclusion relations, Hadamard product
