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Lecture 6: Stochastic Processes I (cont.); Regression Analysis
Description
MIT 18.642 Topics in Mathematics with Applications in Finance, Fall 2024
Instructor: Peter Kempthorne
View the complete course: https://ocw.mit.edu/courses/18-642-topics-in-mathematics-with-applications-in-finance-fall-2024
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The lecture discusses martingales and their powerful applications in solving problems in stochastic processes, including random walks, stopping times, and gambler’s ruin probabilities, highlighting how martingale properties simplify complex analyses. It then introduces Markov processes and chains, explaining their memoryless property and applications in finance such as credit rating transitions and stock price modeling, before transitioning to regression analysis, focusing on multiple linear regression, model assumptions, and estimation techniques.
License: Creative Commons BY-NC-SA
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