Stochastic process

Definition taught in Stochastic processes, part of Stochastic processes

Stochastic process

Type Definition
Taught in Stochastic processes
Part Stochastic processes

A stochastic process on a probability space (\Omega,\mathcal{F},\mathrm{P}), with state space S and index set T, is a family \{X_t:t\in T\} of S-valued random variables. If T=\{0,1,2,\ldots\}, time is discrete. If T=[0,\infty), time is continuous.

Used in

See also

Stationary and independent increments

Glossary and index