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| STAT 61900 - Probability Theory |
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Credit Hours: 3.00. Probability Theory is the foundation of statistical methodologies, which is fundamental in the practice of science. From this course students will get precise mathematical understanding of probabilities and sigma-algebras, random weak convergence, characteristic functions, the central limit theorem, Lebesgue decomposition, conditioning. Prerequisite: STAT 51900. Typically offered Spring.
3.000 Credit hours Syllabus Available Levels: Undergraduate, Graduate, Professional Schedule Types: Lecture Offered By: Regional Campus Only Department: IUPUI Courses-IUPUI May be offered at any of the following campuses: IUPUI Learning Outcomes: 1.Have a precise mathematical understanding of probabilities and sigma-algebras; random variable, distributions, and expected values; Inequalities and laws of large numbers; weak convergence, characteristic functions, the central limit theorem, Lebesgue decomposition, conditioning. 2.The level of the course is mathematically rigorous based on measure theoretic probability, but without the unnecessary intricacies of a purely measure theoretic development suitable for a Ph.D. program in Mathematics/Statistics. 3.Studnets will become familiar with the foundational principles that justify statistical methodologies. Restrictions: Must be enrolled in one of the following Levels: Graduate |
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