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In this note, we study the asymptotic behaviour of Lévy processes with no positive jumps condi- tioned to stay positive and some related processes. In particular, we establish
We know from the Minimax Theorem that given the realization of X there will be optimal strategies for the two players and we shall mainly study the number of rows (columns) that
Abstract : We study the weak convergence for the row sums of a general triangular array of empirical processes indexed by a manageable class of functions converging to an
Then, we give sufficient conditions for a σ-finite measure to be invariant for this conditional process with any realization of the given Brownian motion.. In Section 4, we show
M´endez Hern´ andez, Exit times from cones in R d of symmetric stable processes. van den Berg, Subexponential behaviour of the Dirichlet heat
Such concentration of measure results are applied to a number of new examples: the number of relatively ordered subsequences of a random permutation, sliding window statistics
We prove that for symmetric Markov processes of diffusion type admitting a “carré du champ”, the Poincaré inequality is equivalent to the exponential convergence of the
A., Some generalized difference sequence spaces defined by a sequence of Orlicz functions , Aust. J., Spaces of strongly summable
