Titlebook: Approximation, Probability, and Related Fields; George Anastassiou,Svetlozar T. Rachev Book 1994 Springer Science+Business Media New York

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Limit Theorems for Random Multinomial Forms,Let ..,..,... be the sequence of i.i.d. (0,1) random variables with finite 2. moments for some integer k≥ 2. By .. we denote the multinomial form of order ..When . if two or more indices coincide, then .. reduces to the multilinear form η. of order .

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,Euler Functions Eα(z) with Complex α and Applications,The aim of this paper is to extend the Euler polynomials E.(.), which may be defined in terms of their exponential generating function via.to Euler functions ..(.) with complex indices α ∈ .; . will also be allowed to belong to . (see e.g. [26]).

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Bivariate Probability Distributions Similar to Exponential,The class of bivariate distribution having the almost-lack-of-memory property (ALM-distribution) is introduced and the exact form of these distributions in a sub-class with almost independent components is derived. Some of the corresponding probability properties are discussed.

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Stochastic Approximation Under Dependent Noises, Detecting Signals and Adaptive Control,Let ..(θ) be a family of unknown functions from a set into ℝ., be a random parameter with the distribution P. and with the mean value. The function is assumed to have unique minimum in at an internal point θ..

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