IEE 475: Simulating Stochastic Systems

Lecture D2 (2025-09-23): Probabilistic Models


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In this lecture, we review basic probability fundamentals (measure spaces, probability measures, random variables, probability density functions, probability mass functions, cumulative distribution functions, moments, mean/expected value/center of mass, standard deviation, variance), and then we start to build a vocabulary of different probabilistic models that are used in different modeling contexts. These include uniform, triangular, normal, exponential, Erlang-k, Weibull, and Poisson variables. We will finish the discussing next time with the Bernoulli-based discrete variables and Poisson processes.



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IEE 475: Simulating Stochastic SystemsBy Theodore P. Pavlic


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