Results 271 to 280 of about 47,265 (300)

The Greatest of a Finite Set of Random Variables

Operations Research, 1961
The variables ξ1, …, ξn have a joint normal distribution. We are concerned with the calculation or approximation of max(ξ1, …, ξn). Current analyses and tables handle the case in which the ξı are independently distributed with common expected values and common variances.
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Explicit filtering equations for labelled random finite sets

2015 International Conference on Control, Automation and Information Sciences (ICCAIS), 2015
We decompose a probability density function (PDF) of a labelled random finite set (RFS) into a probability mass function over a set of labels and a PDF on a vector-valued multitarget state given the labels. Using this decomposition, we write the Bayesian filtering recursion for labelled RFSs in an explicit form. The resulting formulas are of conceptual
Ángel F. García-Fernández, Mark R. Morelande   +1 more
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Global robot localization with random finite set statistics

2010 13th International Conference on Information Fusion, 2010
We re-examine the problem of global localization of a robot using a rigorous Bayesian framework based on the idea of random finite sets. Random sets allow us to naturally develop a complete model of the underlying problem accounting for the statistics of missed detections and of spurious/erroneously detected (potentially unmodeled) features along with ...
Adrian N. Bishop, Patric Jensfelt
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A random finite set approach to multiple lane detection

2012 15th International IEEE Conference on Intelligent Transportation Systems, 2012
Robust lane detection is the precondition for advanced driver assistance systems like lane departure warning and overtaking assistants. While detecting the vehicle's lane is sufficient for lane departure warning, overtaking assistants or autonomous driving functions also need to detect adjacent lanes.
Hendrik Deusch, Jürgen Wiest, Stephan Reuter, Magdalena Szczot, Marcus Konrad, Klaus Dietmayer   +5 more
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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., Frankl, P., Freed, D., Lagarias, J. C., Odlyzko, A. M.   +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, Hemin Sun, Mao Zheng, Weiping Huang   +3 more
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