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AU Probability Theory and Random Process Sem IV
No Units Titles Sub Titles Chapters
1 Unit 1 Probability Theory Definitions of Probability, Axioms of Probability, Probability Spaces, Properties of Probabilities, Joint and Conditional Probabilities, Independent Events VIEW CHAPTERS
2 Unit 2 Random Variables Probability Distribution Functions, Probability Density Functions, Joint Distribution of Two Variables, Conditional Probability Distribution and Density, Independent Random Variables VIEW CHAPTERS
3 Unit 3 Statistical Averages Functions of Random Variables and Random Vectors, Statistical Averages, Characteristic Function of Random Variables, Inequalities of Chebyshev and Schwartz, Convergence Concepts, Central Limit Theorem VIEW CHAPTERS
4 Unit 4 Random Processes Stationarity, Ergoridicity, Covariance Function and their Properties, Spectral Representation, Weiner-Kinchine Theorem, Linear operations, Gaussian Function, Poisson Processes, Low-pass and Band-pass Noise Representation VIEW CHAPTERS
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