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Probabilities for Intersecting Systems and Random Subsets of Finite Sets

SIAM Journal on Algebraic Discrete Methods, 1986
Let \({\mathcal F}_ k\) be a family of subsets of \(\{\) 1,2,...,n\(\}\), each two of which have at least k elements in common, and let S be a random subset (sample) of \(\{\) 1,2,...,n\(\}\) obtained by choosing each \(i\leq n\) independently with probability \(p_ i\).
Fishburn, P. C.   +4 more
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Random Walks On Finite Convex Sets Of Lattice Points

Journal of Theoretical Probability, 1998
The main theorem provides a solution to an open problem stated by \textit{P. Diaconis} and \textit{L. Saloff-Coste} [J. Theor. Probab. 9, No. 2, 459-510 (1996; Zbl 0870.60064)]. For related papers see \textit{P. Diaconis} and \textit{L. Saloff-Coste} [Geom. Funct. Anal. 4, No. 1, 1-36 (1994; Zbl 0795.60005)] and \textit{P.
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On the semigroup of transformations of a finite set generated by random generators*

Discrete Mathematics and Applications, 2001
Summary: We consider the semigroup generated by random mappings and random bijective mappings of a finite set \(\Omega_n\) of cardinality \(n\) into itself. We study the question when this semigroup contains all mappings of \(\Omega_n\) into itself with a fixed cardinality \(k\) of the image of the set \(\Omega_n\). As \(n\to\infty\), the ranges of \(k\
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Random Mappings of Finite Sets with a Known Number of Components

Theory of Probability & Its Applications, 2004
The class \(A(n,N)\) of all one-to-one mappings of an {\(n\)-element} set into itself each of which has exactly \(N\) connected components is considered. Specifying on \(A(n,N)\) the equiprobable distribution, the author studies asymptotic properties of the distribution of the random variable \(\kappa_r(n,N),\) the number of components of size \(r\) in
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NORMS OF RANDOM MATRICES AND WIDTHS OF FINITE-DIMENSIONAL SETS

Mathematics of the USSR-Sbornik, 1984
Translation from Mat. Sb., Nov. Ser. 120(162), No.2, 180-189 (Russian) (1983; Zbl 0528.46015).
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Basics of Random Finite Sets

2023
Weihua Wu   +3 more
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A stochastic finite element scheme for solving partial differential equations defined on random domains

Computer Methods in Applied Mechanics and Engineering, 2023
Zhibao Zheng   +2 more
exaly  

Robust distributed fusion with trajectory random finite sets

Signal Processing, 2022
Zhiwei Wang   +3 more
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Finite-time control for USV path tracking under input saturation with random disturbances

Applied Ocean Research, 2023
Qihe Shan, Tieshan Li, C L Philip Chen
exaly  

Target Tracking with Random Finite Sets

2023
Weihua Wu   +3 more
openaire   +1 more source

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