Stochastic Calculus

GPTKB entity

Statements (52)
Predicate Object
gptkbp:instanceOf gptkb:mathematical_concept
gptkbp:application gptkb:signal_processing
gptkb:Black-Scholes_model
control theory
option pricing
population dynamics
filtering theory
modeling random systems
gptkbp:developedBy 20th century
gptkbp:fieldOfStudy gptkb:mathematics
gptkbp:hasConcept gptkb:martingale
gptkb:Itô_calculus
gptkb:Itô's_lemma
gptkb:stochastic_process
gptkb:Stratonovich_integral
Brownian motion
stochastic integration
gptkbp:hasEquation gptkb:Itô's_lemma
gptkb:Itô_integral
gptkb:Poisson_process
gptkb:Wiener_process
gptkb:stochastic_process
gptkb:Stratonovich_integral
gptkb:Kolmogorov_equations
gptkb:Girsanov_theorem
Feynman-Kac formula
Burkholder-Davis-Gundy inequalities
Clark-Ocone formula
Doob-Meyer decomposition
Dynkin's formula
Martingale representation theorem
Optional stopping theorem
Stochastic Taylor expansion
Stochastic chain rule
Stochastic integral
Tanaka formula
gptkbp:hasSubfield gptkb:Malliavin_calculus
stochastic control
stochastic partial differential equations
stochastic numerics
white noise analysis
https://www.w3.org/2000/01/rdf-schema#label Stochastic Calculus
gptkbp:notablePerson gptkb:Kiyoshi_Itô
gptkb:Ruslan_Stratonovich
gptkbp:relatedTo gptkb:probability_theory
stochastic processes
gptkbp:usedIn engineering
physics
quantitative finance
financial mathematics
gptkbp:bfsParent gptkb:Stochastic_Integrals
gptkbp:bfsLayer 8