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The goal of this paper is to derive a formula for the finite dimensional joint characteristic function (the Fourier transform of the finite dimensional distribution) of the coupled process ${(W_{t},L_...
We present a nonparametric method for estimating the value and several derivatives of an unknown, sufficiently smooth real-valued function of real-valued arguments from a finite sample of points, wher...
A lower bound for the Gaussian Q-function is presented in the form of a single exponential function with parametric order and weight. The bound combines the simplicity of the classical Chernoff bound ...
In this paper, we study the Gerber-Shiu discounted penalty function for the ordinary renewal risk model modified by the constant interest on the surplus. The time of ruin is analyzed in terms of it$\&...
Abstract: It is proved that the Green's function of a symmetric finite range random walk on a co-compact Fuchsian group decays exponentially in distance at the radius of convergence R. It is also show...
Abstract: In this paper an analytic expression is given for the bounds of the distribution function of the sum of dependent normally distributed random variables. Using the theory of copulas and the i...
We study sums of a random multiplicative function; this is an example,of number-theoretic interest, of sums of products of independent random variables (chaoses).

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