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|STAT 61900 - Probability Theory|
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
Levels: Graduate, Professional, Undergraduate
Schedule Types: Lecture
Offered By: Regional Campus Only
Department: IUPUI Courses-IUPUI
May be offered at any of the following campuses:
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.
Must be enrolled in one of the following Levels:
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