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The probabilistic feature provides arbitrary functions to work with discrete and continuous random variables in a data stream and provides algebraic operator (+, *, -, /) to perform probabilistic addition, subtraction, multiplication, division, and exponentiation.

Int(<ProbabilisticDouble x, Number a, Number b>|<Vector xyz,

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Vector a,

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Vector b>)

Estimates the multivariate normal distribution probability with lower and upper integration limit.

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Calculates the Bhattacharyya distance between two distributions.

Code Block
languagejavascriptcql
titleExample
SELECT similarity(as2DVector(x1,y1), as2DVector(x2,y2)) FROM stream

Distance(

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<ProbabilisticDouble p, Number

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x>|<Vector p, Vector x>)

Calculates the Mahalanobis distance between the distribution and the value. The value can be a scalar value or a vector.

Code Block
languagejavascriptcql
titleExample
SELECT distance(as3DVector(x, y, z), [1.0;2.0;3.0]) FROM stream

KL(<ProbabilisticDouble p1, ProbabilisticDouble p2>|<Vector p1,

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Vector p2>)

Calculates the Kullback-Leibler divergence of the two given probability distributions.

Code Block
languagejavascriptcql
titleExample
SELECT kl(as3DVector(x, y, z), as3DVector(a, b, c)) FROM stream

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Calculates the log Likelihood between the given points and the probability distribution.

Code Block
languagejavascriptcql
titleExample
SELECT loglikelihood([1.0;2.0;3.0], x) FROM stream