Correlation Integral

Correlation Integral
The probability that two points are within a certain distance from one another. Used in the calculation of the correlation dimension. Bloomberg Financial Dictionary

Financial and business terms. 2012.

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  • Correlation integral — In chaos theory, the correlation integral is the mean probability that the states at two different times are close: where N is the number of considered states , ε is a threshold distance, a norm (e.g. Euclidean norm) and …   Wikipedia

  • Correlation dimension — In chaos theory, the correlation dimension (denoted by ν) is a measure of the dimensionality of the space occupied by a set of random points, often referred to as a type of fractal dimension.[1][2][3] For example, if we have a set of random… …   Wikipedia

  • Correlation sum — In chaos theory, the correlation sum is the estimator of the correlation integral, which reflects the mean probability that the states at two different times are close: where N is the number of considered states , ε is a threshold distance, a… …   Wikipedia

  • Corrélation (statistiques) — Pour les articles homonymes, voir Corrélation. En probabilités et en statistique, étudier la corrélation entre deux ou plusieurs variables aléatoires ou statistiques numériques, c’est étudier l’intensité de la liaison qui peut exister entre ces… …   Wikipédia en Français

  • Correlation attack — In cryptography, correlation attacks are a class of known plaintext attacks for breaking stream ciphers whose keystream is generated by combining the output of several linear feedback shift registers (called LFSRs for the rest of this article)… …   Wikipedia

  • Correlation function — For other uses, see Correlation function (disambiguation). A correlation function is the correlation between random variables at two different points in space or time, usually as a function of the spatial or temporal distance between the points.… …   Wikipedia

  • Correlation immunity — In mathematics, the correlation immunity of a Boolean function is a measure of the degree to which its outputs are uncorrelated with some subset of its inputs. Specifically, a Boolean function is said to be correlation immune of order m if every… …   Wikipedia

  • Correlation function (quantum field theory) — For other uses, see Correlation function (disambiguation). Quantum field theory …   Wikipedia

  • Cross-correlation — In signal processing, cross correlation is a measure of similarity of two waveforms as a function of a time lag applied to one of them. This is also known as a sliding dot product or sliding inner product. It is commonly used for searching a long …   Wikipedia

  • Triple correlation — The triple correlation of an ordinary function on the real line is the integral of theproduct of that function with two independently shifted copies of itself: int { infty}^{infty} f^{*}(x) f(x+s 1) f(x+s 2) dxThe Fourier transform of triple… …   Wikipedia

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