STAT 611 - Mathematical Statistics I

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Random variables and their distribution functions, probability density and frequency functions, mathematical expectations and moments, moment-generating functions, characteristic functions, probability inequalities, special discrete and continuous distributions, multi-variate random vectors and their distributions, conditional and marginal distributions, conditional expectation, transformation and functions of random variables, modes of convergence and central limit theorem.
Prerequisite: Prerequisite: STAT 451 or consent of instructor. Credit will not be given for both STAT 611 and STAT 651.