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01:640:477 Mathematical Theory of Probability

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The 01:640:477 Mathematical Theory of Probability course module basically explain the fundamentals, the general label space, and the basic properties of the distribution. The discussion focused on Gaussian distribution, Poisson distribution, mean-variance and other points, uncountable label space, basic assumptions, operations and distribution functions. Further in the course, example of combinatorial operations and summation of characteristic functions of random variables is considered. This course as well discusses the asymptotic distribution of the sum of random variables and probability inference. Topics include inference from a limited number of observations, the law of large numbers, asymptotic distribution, limiting distribution of the sum of independent discrete random variables, probability and probability density of the sum of rare events. This course also emphatically introduces statistical functions and multivariate statistical theory.

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