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Mar 17, 2026
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University of Alberta Calendar 2026-2027
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STAT 571 - Probability and Measure
Course Career Graduate
Units 3
Approved Hours 3-0-0
Fee index 6
Faculty Science
Department Mathematical & Statistical Sci
Typically Offered either term
Description
Probability Measures, Lebesgue Measure on R, Random Variables, Probability Densities and Distributions, Lebesgue-Stieltjes integration, Independence, Convergence (almost surely, in probability, and in distribution), Product Probabilities, Key Inequalities (Markov, Chebyshev, Hölder, Jensen, and Paley-Zygmund), Characteristic functions, Law of Large Numbers, Central Limit Theorem, Concentration Inequalities, Applications to problems in analysis, geometry, and combinatorics. Prerequisite: STAT 512.
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