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To use these functions, the Probabilistic Feature is required.

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, Number a, Number b>)

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

as2DVector(ProbabilisticDouble x, ProbabilisticDouble y)

Converts the two object into a 2D vector.

as3DVector(ProbabilisticDouble x, ProbabilisticDouble y, ProbabilisticDouble z)

Similar to the as2DVector function, this function creates a 3D vector with the given objects.

Similarity(ProbabilisticDouble p1, ProbabilisticDouble p2)

Calculates the Bhattacharyya distance between two distributions.

Example
SELECT similarity(as2DVector(x1,y1), as2DVector(x2,y2)) FROM stream

Distance(ProbabilisticDouble p, Number x)

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

Example
SELECT distance(as3DVector(x, y, z), [1.0;2.0;3.0]) FROM stream
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