Probability and Statistical Theory I
MATH/STAT 409 covers the theoretical foundations of statistics, focusing on probability models and large sample theory.
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Provide a grounding in the theory underlying Statistics geared towards understanding why statistical methods work and to critically evaluate their performance. Probability theory highlighting the aspects of the field most relevant to statistical theory. Topics include: probability models, combinatorial methods, discrete and continuous random variables, univariate and multivariate distributions, expected values, moments, normal distribution and derived distributions, large sample theory and probability simulation.
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