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Stochastic Processes
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Learning Material
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Volume
Introduction to Probability: Basic concepts of probability theory, including random variables, probability distributions, and probability density functions.
5.89 MB
<p>Introduction to Probability: Basic concepts of probability theory, including random variables, probability distributions, and probability density functions.</p>
Discrete-Time Markov Chains: Study of discrete-time Markov chains, their transition probabilities, stationary distributions, and basic properties.
5.89 MB
<p>Discrete-Time Markov Chains: Study of discrete-time Markov chains, their transition probabilities, stationary distributions, and basic properties.</p>
Continuous-Time Markov Chains: Introduction to continuous-time Markov chains, Poisson processes, and exponential distributions.
5.89 MB
<p>Continuous-Time Markov Chains: Introduction to continuous-time Markov chains, Poisson processes, and exponential distributions.</p>
Markov Chain Monte Carlo (MCMC) Methods: An overview of MCMC techniques for simulating complex probability distributions and conducting statistical inference.
5.89 MB
<p>Markov Chain Monte Carlo (MCMC) Methods: An overview of MCMC techniques for simulating complex probability distributions and conducting statistical inference.</p>
Brownian Motion: Introduction to Brownian motion as a continuous-time stochastic process and its properties.
5.89 MB
<p>Brownian Motion: Introduction to Brownian motion as a continuous-time stochastic process and its properties.</p>
Stochastic Differential Equations (SDEs): Basics of stochastic differential equations, including Ito's lemma and their applications in modeling random processes.
5.89 MB
<p>Stochastic Differential Equations (SDEs): Basics of stochastic differential equations, including Ito's lemma and their applications in modeling random processes.</p>
Renewal Theory: Study of renewal processes and their applications in reliability theory and queuing theory.
5.89 MB
<p>Renewal Theory: Study of renewal processes and their applications in reliability theory and queuing theory.</p>
Martingales: Introduction to martingales, submartingales, and supermartingales, and their role in probability theory and finance.
5.89 MB
<p>Martingales: Introduction to martingales, submartingales, and supermartingales, and their role in probability theory and finance.</p>
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