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MTHE/STAT 353 Course Outline
Winter 2021



This course is a continuation of STAT 351, using the same text. We will cover most of the remaining material from the text that was not covered in STAT 351.

  • Multiple Random Variables: multivariate distributions; joint probability, density, and distribution functions; marginal distributions; independent random variables; order statistics; multinomial distribution; transformations of n random variables; gamma, beta, and chi-squared distributions (Chapter 9 of text and lectures).

  • Expectations Involving Multiple Random Variables: expectation of a sum of random variables; covariance and correlation; calculating expectations by conditioning; multivariate normal distributions (Chapter 10 of text and lectures).

  • Limit Theorems: moment generating functions; sums of independent random variables; markov and chebyshev inequalities; modes of convergence; laws of large numbers; chernoff bounds; central limit theorem (Chapter 11 of text and lectures).