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Reference.org
List of stochastic processes topics
open-in-new
Stochastic processes topics
This list is currently incomplete.
See also Category:Stochastic processes
Basic affine jump diffusion
Bernoulli process
:
discrete-time
processes with two possible states.
Bernoulli schemes
: discrete-time processes with
N
possible states; every stationary process in
N
outcomes is a Bernoulli scheme, and vice versa.
Bessel process
Birth–death process
Branching process
Branching random walk
Brownian bridge
Brownian motion
Chinese restaurant process
CIR process
Continuous stochastic process
Cox process
Dirichlet processes
Finite-dimensional distribution
First passage time
Galton–Watson process
Gamma process
Gaussian process
– a process where all linear combinations of coordinates are
normally distributed
random variables.
Gauss–Markov process
(cf. below)
GenI process
Girsanov's theorem
Hawkes process
Homogeneous processes
: processes where the domain has some
symmetry
and the finite-dimensional probability distributions also have that symmetry. Special cases include
stationary processes
, also called time-homogeneous.
Karhunen–Loève theorem
Lévy process
Local time (mathematics)
Loop-erased random walk
Markov processes
are those in which the future is conditionally independent of the past given the present.
Markov chain
Markov chain central limit theorem
Continuous-time Markov process
Markov process
Semi-Markov process
Gauss–Markov processes
: processes that are both Gaussian and Markov
Martingales
– processes with constraints on the expectation
Onsager–Machlup function
Ornstein–Uhlenbeck process
Percolation theory
Point processes
: random arrangements of points in a space S {\displaystyle S} . They can be modelled as stochastic processes where the domain is a sufficiently large family of subsets of
S
, ordered by inclusion; the range is the set of natural numbers; and, if
A
is a subset of
B
,
ƒ
(
A
) ≤
ƒ
(
B
) with probability 1.
Poisson process
Compound Poisson process
Population process
Probabilistic cellular automaton
Queueing theory
Queue
Random field
Gaussian random field
Markov random field
Sample-continuous process
Stationary process
Stochastic calculus
Itô calculus
Malliavin calculus
Semimartingale
Stratonovich integral
Stochastic control
Stochastic differential equation
Stochastic process
Telegraph process
Time series
Wald's martingale
Wiener process