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Herald of the Bauman Moscow State Technical University, Series Natural Sciences, 2012, Issue 2, Pages 3–11 (Mi mgtu1)  

Lower bounds for probabilities of embedding with arbitrary margin

N. M. Mezhennayaa, V. G. Mikhailovb

a Bauman Moscow State Technical University
b Steklov Mathematical Institute of Russian Academy of Sciences, Moscow

Abstract: The notion of compact embedding introduced by J. Golic is generalized. The lower estimations are deduced for the mathematical expectation of the probability of embedding with a given margin a segment of the sequence of independent equally distributed random quantities over the N-element alphabet into the sequence of independent random quantities having the uniform distribution on the same alphabet. These estimations refine the known evaluations for the probability of embedding with a given margin and, in particular, for the probability of compact embedding. Refs. 4. Tabs. 2.

Funding Agency Grant Number
Russian Foundation for Basic Research 11-01-00139


Received: 26.09.2012

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