Results 121 to 130 of about 296,239 (168)

Generating random elements of abelian groups

Random Structures & Algorithms, 2005
AbstractAlgorithms based on rapidly mixing Markov chains are discussed to produce nearly uniformly distributed random elements in abelian groups of finite order. Let A be an abelian group generated by set S. Then one can generate ϵ‐nearly uniform random elements of A using 4|S|log(|A|/ϵ) log(|A|) additions and the same number of random bits.
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On Finite-Dimensional Distributions of a Random Element Conditioned by the Sum of Random Elements*

Journal of Mathematical Sciences, 2013
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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On Application of a Gaussian Random Operator to Random Elements

Theory of Probability & Its Applications, 1987
See the review in Zbl 0618.60048.
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Topological algebras of random elements

Studia Mathematica, 2016
The paper is an interesting approach to defining the terms (like spectrum, Jacobson radical, spectral radius, hull and kernel) known in the theory of topological algebras in the context of the space of Bochner-measurable random variables with values in a unital complex Banach algebra.
Schreiber, Bertram M., Velasco, M. Victoria   +1 more
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Elements of Random Vector Analysis

Journal of the Engineering Mechanics Division, 1973
The definitions, theorems, and example developed herein initiate an extension of elementary deterministic vector analysis to the random case. Generalizations to include dependencies among random variables are easily made and contribute few new insights.
Robert M. Stark, Devendra K. Shukla
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Series of independent random elements

1997
This chapter is entirely devoted to series of independent random elements in separable F-spaces. Sections 1.1 and 1.2 are preliminary. The equivalence of strong and weak almost sure convergence of series of independent symmetric summands (a generalization of the Ito-Nisio theorem) is considered in Section 1.3.
Valery Buldygin, Serguei Solntsev
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Sums of Independent Random Elements

1987
Independence is one of the most important notions of the probability theory, and series of independent random elements in Banach spaces are an interesting object in themselves but also have applications in other areas of mathematics, in particular, in the geometric theory of Banach spaces.
N. N. Vakhania, V. I. Tarieladze, S. A. Chobanyan   +2 more
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Random Variables, Elements, and Measurable Maps

2005
In this chapter, we will precisely define a random variable. A random variable is a real valued function with domain Ω which has an extra property called measurability that allows us to make probability statements about the random variables.
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Probability measures and random elements

2000
One of the central topics in our book can be characterized as follows: we discuss appropriate analogues of the Anderson inequality (see Section 2) and demonstrate applications of these analogues in probability theory, mathematical statistics and infinite-dimensional analysis.
V. V. Buldygin, A. B. Kharazishvili
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Random elements in Orlicz spaces

Journal of Soviet Mathematics, 1988
See the review in Zbl 0641.60005.
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