Category:Stochastic processes

E

• ► Empirical process‎ (13 P)
• ► Ergodic theory‎ (42 P)

H

• ► Hidden stochastic models‎ (1 C, 2 P)

L

• ► Long-memory processes‎ (5 P)

M

• ► Markov processes‎ (1 C, 31 P)
• ► Martingale theory‎ (22 P)

P

• ► Point processes‎ (10 P)

P cont.

• ► Poisson processes‎ (15 P)

Q

• ► Queueing theory‎ (6 C, 37 P)

R

• ► Random dynamical systems‎ (5 P)

S

• ► Spatial processes‎ (10 P)
• ► Stochastic calculus‎ (15 P)
• ► Stochastic control‎ (12 P)
• ► Stochastic differential equations‎ (27 P)

S cont.

• ► Stochastic models‎ (2 C, 14 P)
• ► Stochastic simulation‎ (1 C, 10 P)

T

• ► Time series analysis‎ (11 C, 96 P)
• ► Time series models‎ (16 P)

V

• ► Variants of random walks‎ (9 P)

*

• Stochastic process

A

• Abstract Wiener space
• Adapted process
• Additive Markov chain
• Affine term structure model
• Arrival theorem

B

• Balance equation
• Basic affine jump diffusion
• BCMP network
• Bernoulli process
• Bernoulli scheme
• Bessel process
• Beverton–Holt model
• Biased random walk (biochemistry)
• Black–Scholes
• Branching process
• Branching random walk
• Brownian bridge
• Brownian excursion
• Brownian meander
• Brownian motion
• Brownian tree
• Bulk queue
• Bussgang theorem
• Buzen's algorithm

C

• Càdlàg
• Cauchy process
• Cheeger bound
• Chernoff's distribution
• Chinese restaurant process
• CIR process
• Clark–Ocone theorem
• Classical Wiener space
• Contact process (mathematics)
• Continuous stochastic process
• Continuous-time stochastic process
• Convergence of random variables
• Counting process
• Cox–Ingersoll–Ross model
• Cyclostationary process

D

• D/M/1 queue
• Detrended fluctuation analysis
• Diffusion process
• Diffusion-limited aggregation
• Dirichlet process
• Discrete-time stochastic process
• Disorder problem
• Dissociated press
• Doob decomposition theorem
• Doubly stochastic model
• Drift plus penalty
• Dudley's theorem
• Dynamic contagion process

E

• Ehrenfest model
• Ergodicity
• Evacuation process simulation
• Excursion probability
• Extinction probability

F

• Feller process
• Feller-continuous process
• Feynman–Kac formula
• File dynamics
• Filtering problem (stochastic processes)
• Filtration (mathematics)
• Finite-dimensional distribution
• Fleming–Viot process
• Fluid queue

F cont.

• Fokker–Planck equation
• Foster's theorem
• Fractional Brownian motion

G

• G-network
• G/G/1 queue
• Galton–Watson process
• Gamma process
• Gaussian free field
• Gaussian measure
• Gaussian noise
• Gaussian process
• Generalized Wiener process
• Geometric Brownian motion
• Gibbs state
• Girsanov theorem
• Gordon–Newell theorem
• Growth curve

H

• Heavy traffic approximation
• Heston model
• Heterogeneous random walk in one dimension
• Hierarchical Dirichlet process
• Hitting time
• Hunt process
• Hurst exponent

I

• Increasing process
• Information source (mathematics)
• Innovation (signal processing)
• Integration by parts operator
• Interacting particle system

J

• Jackson network
• Jump diffusion
• Jump process

K

• Karhunen–Loève theorem
• Kelly network
• Kelly's lemma
• Kemeny's constant
• Killed process
• Kinetic scheme
• Kolmogorov continuity theorem
• Kolmogorov extension theorem
• Kolmogorov's inequality
• Komlós–Major–Tusnády approximation
• Krylov–Bogolyubov theorem
• Kushner equation

L

• Lag operator
• Large deviations of Gaussian random functions
• Law (stochastic processes)
• Law of the iterated logarithm
• Lévy arcsine law
• Lévy flight
• Lévy process
• Life-time of correlation
• List of stochastic processes topics
• Local martingale
• Local time (mathematics)
• Long-tail traffic
• Loop-erased random walk
• Lorden's inequality
• Loss network
• Lumpability
• Lyapunov optimization

M

• M/D/1 queue
• M/G/1 queue
• M/M/1 queue
• M/M/c queue
• M/M/∞ queue
• Markov additive process

M cont.

• Markov information source
• Markov kernel
• Markov model
• Markov process
• Martingale (probability theory)
• Martingale difference sequence
• Master equation
• McKean–Vlasov process
• Mean value analysis
• Mean-reverting process
• Minimal-entropy martingale measure
• Minlos' theorem
• Mixing (mathematics)
• Moment closure
• Moran process
• Multiscale decision-making

N

• Narrow escape problem
• Natural filtration
• Nonlinear autoregressive exogenous model
• Novikov's condition
• Nuisance variable
• Numéraire

O

• Ornstein–Uhlenbeck process
• Oscillator linewidth

P

• Path space
• Piecewise-deterministic Markov process
• Pitman–Yor process
• Point process
• Poisson process
• Fractional Poisson process
• Polynomial chaos
• Predictable process
• Preferential attachment
• Product-form solution
• Progressively measurable process

Q

• Quadratic variation
• Quasireversibility
• Queueing theory

R

• Random dynamical system
• Random function
• Random measure
• Random structure function
• Random walk
• Random walk hypothesis
• Recurrence period density entropy
• Reflected Brownian motion
• Regenerative process
• Renewal theory
• Residual time
• Reversible dynamics
• Rice's formula
• Risk of ruin
• Rough path
• Ruin theory
• Russo–Vallois integral

S

• Sample-continuous process
• Sazonov's theorem
• Schilder's theorem
• Schramm–Loewner evolution
• Self-similar process
• Semimartingale
• Sethi model
• Sigma-martingale
• Skorokhod problem
• Skorokhod's embedding theorem
• Spitzer's formula