User:Waterbug89/Books/stochastic calculus

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Stochastic calculus, equations, processes, and thms[edit]

stochastic analysis[edit]

Stochastic calculus
H-derivative
Integral representation theorem for classical Wiener space
Integration by parts operator
Itô calculus
Itô isometry
Itô's lemma
Malliavin calculus
Malliavin derivative
Master equation
Ornstein–Uhlenbeck operator
Paley–Wiener integral
Palm calculus
Quantum stochastic calculus
Reflection principle (Wiener process)
Skorokhod integral
Skorokhod problem
Stochastic differential equation
Stochastic discount factor
Stratonovich integral
Affine term structure model
Beverton–Holt model
Black–Scholes model
Bond fluctuation model
Cellular Potts model
Cox–Ingersoll–Ross model
Dynamic scaling
Ehrenfest model
Gilbert–Shannon–Reeds model
Interdependent networks
Kolmogorov equations
Linear-nonlinear-Poisson cascade model
Monte Carlo molecular modeling
MPMC
Random neural network
Restricted Boltzmann machine
Sethi model
Stochastic cellular automaton
Stochastic chains with memory of variable length
Stochastic modelling (insurance)
Stochastic process
Substitution model
Voter model
Weighted planar stochastic lattice
WSSUS model
Arrow–Debreu model
Binomial options pricing model
Black model
Black–Litterman model
Brownian model of financial markets
Chepakovich valuation model
Cheyette model
Constant elasticity of variance model
Consumption-based capital asset pricing model
Dividend discount model
Financial models with long-tailed distributions and volatility clustering
Heston model
Korn–Kreer–Lenssen model
LIBOR market model
SABR volatility model
Single-index model
Stochastic investment model
T-model
Treynor–Black model
Wilkie investment model
Acceptance set
Betavexity
Capital asset pricing model
Cascades in financial networks
Coherent risk measure
Consistent pricing process
Deviation risk measure
Discounted maximum loss
Distortion risk measure
Diversification (finance)
Downside beta
Downside risk
Dual-beta
Dynamic risk measure
Entropic risk measure
Entropic value at risk
Expected shortfall
Exponential utility
Extreme value theory
Fama–French three-factor model
Financial risk modeling
Historical simulation (finance)
Hyperbolic absolute risk aversion
Isoelastic utility
Jarrow–Turnbull model
Modern portfolio theory
Multiple factor models
Risk aversion
Risk measure
Risk-neutral measure
RiskMetrics
Solvency cone
Spectral risk measure
Superhedging price
Tail value at risk
Time consistency
Two-moment decision model
Upside beta
Upside risk
Value at risk
XVA
Short-rate model
Black–Derman–Toy model
Black–Karasinski model
Chen model
Ho–Lee model
Hull–White model
Kalotay–Williams–Fabozzi model
Lattice model (finance)
Longstaff–Schwartz model
Rendleman–Bartter model
Vasicek model
Doubly stochastic model
Time-inhomogeneous hidden Bernoulli model
Markov random field
Factor graph
Hammersley–Clifford theorem
Hidden Markov random field
Markov blanket
Markov logic network
Probabilistic soft logic
Boolean model (probability theory)
Complete spatial randomness
Gaussian random field
User:Improbable keeler/sandbox
Interacting particle system
Point process
Point process operation
Poisson point process
Random field
Stochastic geometry
Stochastic geometry models of wireless networks
Superprocess
Variogram
Determinantal point process
Dynamic contagion process
Factorial moment measure
Index of dispersion
Kernel (statistics)
Laplace functional
Moment measure
Overdispersion
Palm–Khintchine theorem
Renewal theory
Residual time
Bruss–Duerinckx theorem
Bussgang theorem
Clark–Ocone theorem
Doob decomposition theorem
Dudley's theorem
Foster's theorem
Girsanov theorem
Ignatov's theorem
Kolmogorov continuity theorem
Kolmogorov extension theorem
Minlos' theorem
Schilder's theorem
Evacuation process simulation
Gard model
Gillespie algorithm
Importance sampling
Kinetic Monte Carlo
Mean field particle methods
Monte Carlo method
Network traffic simulation
Particle filter
Simulation language
Stochastic process rare event sampling
Stochastic roadmap simulation
Stochastic simulation
Tau-leaping
Antithetic variates
Stratified sampling
Variance reduction
VEGAS algorithm
Piecewise-deterministic Markov process
Absorbing Markov chain
Additive Markov chain
Birth–death process
Branching process
Brownian meander
Burstiness
Chapman–Kolmogorov equation
Conductance (graph)
Diffusion process
Dirichlet form
Feller process
Fleming–Viot process
Gauss–Markov process
Harris chain
Hunt process
Kelly's lemma
Kemeny's constant
Kolmogorov equations (Markov jump process)
Kolmogorov's criterion
Lévy flight
Lumpability
Markov additive process
Markov chain
Markov chain approximation method
Markov chain mixing time
Markov chains on a measurable state space
Markov decision process
Markov information source
Markov kernel
Markov property
Markov renewal process
Markov reward model
Markovian arrival process
Matrix analytic method
Memorylessness
Multiscale decision-making
Nearly completely decomposable Markov chain
Ornstein–Uhlenbeck process
Partially observable Markov decision process
Perron–Frobenius theorem
Poisson clumping
Quasi-birth–death process
Queueing theory
Spectral expansion solution
Subshift of finite type
Telescoping Markov chain
Transition rate matrix
Uniformization (probability theory)
Vacancy chain
Automatic basis function construction
Hamilton–Jacobi–Bellman equation
Linear–quadratic–Gaussian control
Mabinogion sheep problem
Merton's portfolio problem
Multiplier uncertainty
Optimal projection equations
Robust control
Separation principle
Stochastic control
Witsenhausen's counterexample
Random dynamical system
Absorbing set (random dynamical systems)
Base flow (random dynamical systems)
Brownian motion of sol particles
Crackling noise
Krylov–Bogolyubov theorem
Pullback attractor
Random compact set