Applications of Stochastic Processes in Finance
A detailed guide to applications of stochastic processes in finance. Covers key methods, mathematical significance, and real-world applications.
Stochastic Processes
20 articles
Branching Processes and Galton-Watson
A detailed guide to branching processes and galton-watson. Covers key methods, mathematical significance, and real-world applications.
Brownian Motion: Construction and Properties
A detailed guide to brownian motion: construction and properties. Covers key methods, mathematical significance, and real-world applications.
Continuous-Time Markov Chains
A detailed guide to continuous-time markov chains. Covers key methods, mathematical significance, and real-world applications.
Diffusion Processes and Kolmogorov Equations
A detailed guide to diffusion processes and kolmogorov equations. Covers key methods, mathematical significance, and real-world applications.
Gaussian Processes and Covariance Functions
A detailed guide to gaussian processes and covariance functions. Covers key methods, mathematical significance, and real-world applications.
Introduction to Stochastic Processes
A detailed guide to introduction to stochastic processes. Covers key methods, mathematical significance, and real-world applications.
Itô Calculus: Stochastic Integrals
A detailed guide to itô calculus: stochastic integrals. Covers key methods, mathematical significance, and real-world applications.
Itô's Lemma and Stochastic Differential Equations
A detailed guide to itô's lemma and stochastic differential equations. Covers key methods, mathematical significance, and real-world applications.
Markov Chains: Classification of States
A detailed guide to markov chains: classification of states. Covers key methods, mathematical significance, and real-world applications.
Markov Chains: Definitions and Examples
A detailed guide to markov chains: definitions and examples. Covers key methods, mathematical significance, and real-world applications.
Martingales: Definitions and Properties
A detailed guide to martingales: definitions and properties. Covers key methods, mathematical significance, and real-world applications.
Poisson Processes: Arrivals and Properties
A detailed guide to poisson processes: arrivals and properties. Covers key methods, mathematical significance, and real-world applications.
Queueing Processes and Their Analysis
A detailed guide to queueing processes and their analysis. Covers key methods, mathematical significance, and real-world applications.
Random Walks: Definitions and Basic Properties
A detailed guide to random walks: definitions and basic properties. Covers key methods, mathematical significance, and real-world applications.
Renewal Theory and Regenerative Processes
A detailed guide to renewal theory and regenerative processes. Covers key methods, mathematical significance, and real-world applications.
Stationary Distributions and Limiting Behavior
A detailed guide to stationary distributions and limiting behavior. Covers key methods, mathematical significance, and real-world applications.
Stationary Processes and Ergodicity
A detailed guide to stationary processes and ergodicity. Covers key methods, mathematical significance, and real-world applications.
Stopping Times and Optional Stopping Theorem
A detailed guide to stopping times and optional stopping theorem. Covers key methods, mathematical significance, and real-world applications.
Wiener Process and Its Sample Paths
A detailed guide to wiener process and its sample paths. Covers key methods, mathematical significance, and real-world applications.