Gaussian process

It's a stochastic process (Xt) with t ? R+, where random variables constituting the random vector n-dimensional (Xt1, Xt2, Xt3, …, Xtn) for ?n ? N, versus time (t1, t2, t3, …, tn) per ?n ? R+, are distributed as a multivariate Gaussian distribution, according to the following equation for the probability density:

Where b represents the expected value of the random variable function versus time and K the covariance between the random variables.

Note that this process is uniquely determined by assigning the functions:

where K is a symmetric function and semi positive definite.

Editor: Giuliano DI TOMMASO

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