Results 251 to 260 of about 3,022,789 (295)

Affine Moments of a Random Vector

IEEE Transactions on Information Theory, 2013
An affine invariant pth moment measure is defined for a random vector and used to prove sharp moment-entropy inequalities that are more general and stronger than standard moment-entropy inequalities.
Erwin Lutwak, Songjun Lv, Deane Yang, Gaoyong Zhang   +3 more
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How random is a random vector?

Annals of Physics, 2015
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Fuzzy Random Vector and Independence

2006 IEEE International Conference on Fuzzy Systems, 2006
Fuzzy random variable is a measurable function from a probability space to the set of fuzzy variables. This paper gives a new definition of fuzzy random vector, and proves the relationship between fuzzy random variable and fuzzy random vector. Moreover, the concept of independent and identically distributed fuzzy random vectors is presented and some ...
Xiang Li 0006, Baoding Liu
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Random Quantities and Random Vectors

2010
By definition, values of random signals at a given sampling time are random quantities which can be distributed over a certain range of values. The tools for the precise, quantitative description of those distributions are provided by classical probability theory.
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Moments of a Random Vector and of Linear and Quadratic Forms in a Random Vector

2020
A considerable body of theory on point estimation of the parameters of linear models can be obtained using only some results pertaining to the first few moments of a random vector and of certain functions of that vector; it is not necessary to specify the random vector’s probability distribution. This chapter presents these moment results. In the first
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Random Variables and Random Vectors

2003
It often happens that we do not really care about the outcome of an experiment itself, but rather we are interested in some consequence of this outcome. For instance, a gambler is not primarily interested in the question whether or not heads comes up, but instead in the financial consequences of such an outcome.
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Random Vectors

2022
Valérie Girardin, Nikolaos Limnios
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Generating Uniform Random Vectors

Journal of Theoretical Probability, 2001
The author investigates the properties of the Markov chain \(X_{n+1} = AX_n+b_n \mod p\), where \(b_i\) are identically distributed independent random integer vectors of dimension \(m\), \(A\) is an \(m\)-dimensional integer matrix and \(p\) a prime number. The paper deals mainly with the case when \(A\) is regular.
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The Relative Entropy of a Random Vector with Respect to Another Random Vector.

1985
Abstract : This paper discusses some problems connected with the concept of entropy. Keywords: Additivity theorems; Entropy; Information theory. Relative entropy is defined as h (xi:eta) + h(xi:eta) a measure of the random variables xi eta.
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Vector Symmetric Random Measures and Random Integrals

Theory of Probability & Its Applications, 1993
Let \(F\) be a vector-valued symmetric random measure that is not necessarily generated by an infinitely divisible measure. The author constructs an integral of real-valued functions \(f\) w.r.t. \(F\) and shows that this integral pertains the usual convergence properties (in particular, convergence of \(F\)-integrable functions \(f_ n\) to an \(F ...
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