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Keywords: Bell numbers, near-Bell numbers, exponential generating functions, ordinary generating functions, multisets, partitions, recurrence relations. (Concerned with
While in the general case arbitrarily large numbers of zeros may need to be added to the nonzero spectrum to obtain realization, in the symmetric case the number of zeros needed
Keywords: Brownian motion with trend, boundary crossing probability, large deviations, exact
Moreover (for the autoregressive case), an exponential rate of convergence in probability of the empirical covariance is obtained. For such prediction errors, the only LDP the author
As a byproduct, applying the general criterion of [F] leading to the hydrodynamic limit of exclusion processes with bond–dependent transition rates, for almost all realizations of
We establish a strong law of large numbers and a central limit theorem for the Parrondo player’s sequence of profits, both in a one-parameter family of capital-dependent games and in
In this paper we shall derive asymptotic expansions of the Green function and the transition probabilities of Markov additive (MA) processes ( ξ n , S n ) whose first
We now show how the uniform law of large numbers in Theorem 1.1 can be used to prove the hydrodynamic limits for the system of RWRE as stated in Theorem 1.4.. Proof of Theorem 1.4:
