measurable space
81Law (stochastic processes) — In mathematics, the law of a stochastic process is the measure that the process induces on the collection of functions from the index set into the state space. The law encodes a lot of information about the process; in the case of a random walk,… …
82Inner regular measure — In mathematics, an inner regular measure is one for which the measure of a set can be approximated from within by compact subsets.DefinitionLet ( X , T ) be a Hausdorff topological space and let Sigma; be a sigma; algebra on X that contains the… …
83Random variate — A random variate is a particular outcome of a random variable: the random variates which are other outcomes of the same random variable would have different values. Random variates are used when simulating processes driven by random influences… …
84POVM — In functional analysis and quantum measurement theory, a POVM (Positive Operator Valued Measure) is a measure whose values are non negative self adjoint operators on a Hilbert space. It is the most general formulation of a measurement in the… …
85random variable — noun a) A quantity whose value is random and to which a probability distribution is assigned, such as the possible outcome of a roll of a dice. b) A measurable function from a sample space to the measurable space of possible values of the… …
86Kernel trick — In machine learning, the kernel trick is a method for using a linear classifier algorithm to solve a non linear problem by mapping the original non linear observations into a higher dimensional space, where the linear classifier is subsequently… …
87Radonifying function — In measure theory, a radonifying function (ultimately named after Johann Radon) between measurable spaces is one that takes a cylinder set measure (CSM) on the first space to a true measure on the second space. It acquired its name because the… …
88p-adic distribution — In mathematics, a p adic distribution is an analogue of ordinary distributions (i.e. generalized functions) that takes values in a ring of p adic numbers. Definition If X is a topological space, a distribution on X with values in an abelian group …
89Moment (mathematics) — Second moment redirects here. For the technique in probability theory, see Second moment method. See also: Moment (physics) Increasing each of the first four moments in turn while keeping the others constant, for a discrete uniform distribution… …
90Lévy-Prokhorov metric — In mathematics, the Lévy Prokhorov metric (sometimes known just as the Prokhorov metric) is a metric (i.e. a definition of distance) on the collection of probability measures on a given metric space. It is named after the French mathematician… …
