Results 261 to 270 of about 5,148,982 (304)

On Nonlinear Correlation of Random Elements

2011
In view of imprecise data in a variety of situations, we proceed to investigate dependence structure of random closed sets. Inspired by the modeling and quantifying of nonlinear dependence structures of random vectors, using copulas, we look at the extension of copula connection to the case of infinitely separable metric spaces with applications to the
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Optimal algorithms for inserting a random element into a random heap

IEEE Transactions on Information Theory, 1997
Summary: Two algorithms for inserting a random element into a random heap are shown to be optimal (in the sense that they use the least number of comparisons on the average among all comparison-based algorithms) for different values of \(n\) under a uniform model.
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On the concentration phenomenon for -subgaussian random elements

Statistics & Probability Letters, 2006
Let \(X=(X_1,X_2,\dots)\) be a random element with values in \(l^2\) that is scalarly \(\varphi\)-subgaussian. It means that \(E\exp\{tX_k\}\leq \exp\{\varphi(at) \}\) for all \(t\) and \(a\geq\tau_\varphi(X_k)\) with \(\sum \tau_\varphi(X_k)= \tau_\varphi(X)t)\leq 4\exp\{-\varphi^*(Ct/\tau_\varphi(X))\}\), where \(\varphi^*\) is the Young-Fenchel ...
GIULIANO, RITA, TIEN CHUNG HU, A. VOLODIN   +2 more
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Characteristic Operators and Conditioned Random Elements*

Journal of Mathematical Sciences, 2014
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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On Sums of Pettis Integrable Random Elements

Quaestiones Mathematicae, 2002
Abstract unavailable at this time...
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Elements of the randomized combinatorial file structure

Proceedings of the 1971 international ACM SIGIR conference on Information storage and retrieval - SIGIR '71, 1971
A file structure designed to provide rapid, random access with minimum storage overhead is presented. Storage and retrieval are achieved by direct attribute combination-to-address transformation thereby negating the necessity for large file dictionaries or list-pointer structures.
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On the second role of the random element in minimization

Contemporary Clinical Trials, 2010
Although the main reason for adding a random element at every step of minimization procedure is to reduce predictability of the upcoming treatment assignments in single-center open-label trials, there is another reason for its use, applicable to double-blind trials.
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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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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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Convergence in Law of Random Elements and Random Sets

1998
Throughout this paper, we let T denote a fixed topological space (not necessarily Hausdorff) and we let (Ω, F, P) and (ϒ, A, Q) denote two fixed probability spaces. We let (E,E*,E *) denote the P-expectation, the upper and the lower P-expectation. Similarly, we let (E,E*,E*) denote the Q-expectation, the upper and the lower Q-expectation. Recall that a
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