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:  +91 8099 133 133 (India)

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:  +91 8099 133 133 (India)

Course Description

Preliminaries : Set Theory - Real Analysis basics - Cardinality and Countability,Probability Measures : Probability Spaces - Properties of Probability Measures - Discrete Probability Spaces - Borel Sets and Lebesgue Measure - Infinite Coin Toss Model - Conditional Probability and Independence - Borel-Cantelli Lemmas,Random Variables : RVs as measurable functions - Probability law, types of RVs, and CDF - Multiple Random Variables and Independence - Jointly Continuous Random Variables,Conditional Distributions - Sums of Random Variables - General Transformations of Random Variables, Jacobian formula.

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