Probability Foundation for Electrical Engineers (USB)

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SKU
108106083



Media Storage Type : 64 GB USB Stick

NPTEL Subject Matter Expert : Dr. Krishna Jagannathan

NPTEL Co-ordinating Institute : IIT Madras

NPTEL Lecture Count : 49

NPTEL Course Size : 36 GB

NPTEL PDF Text Transcription : Available and Included

NPTEL Subtitle Transcription : Available and Included (SRT)


Lecture Titles:

Lecture 1 - Introduction
Lecture 2 - Cardinality and Countability - 1
Lecture 3 - Cardinality and Countability - 2
Lecture 4 - Probability Spaces - 1
Lecture 5 - Probability Spaces - 2
Lecture 6 - Properties of Probability Measures
Lecture 7 - Discrete Probability Spaces
Lecture 8 - Generated ?-Algebra, Borel Sets
Lecture 9 - Borel Sets and Lebesgue Measure - 1
Lecture 10 - Borel Sets and Lebesgue Measure - 2
Lecture 11 - The Infinite Coin Toss Model
Lecture 12 - Conditional Probability and Independence
Lecture 13 - Independence (Continued...)
Lecture 14 - The Borel-Cantelli Lemmas
Lecture 15 - Random Variables
Lecture 16 - Cumulative Distribution Function
Lecture 17 - Types of Random Variables
Lecture 18 - Continuous Random Variables
Lecture 19 - Continuous Random Variables (Continued...) And Singular Random Variables
Lecture 20 - Several Random Variables
Lecture 21 - Independent Random Variables - 1
Lecture 22 - Independent Random Variables - 2
Lecture 23 - Jointly Continuous Random Variables
Lecture 24 - Transformation of Random Variables - 1
Lecture 25 - Transformation of Random Variables - 2
Lecture 26 - Transformation of Random Variables - 3
Lecture 27 - Transformation of Random Variables - 4
Lecture 28 - Integration And Expectation - 1
Lecture 29 - Integration And Expectation - 2
Lecture 30 - Properties of Integrals
Lecture 31 - Monotone Convergence Theorem
Lecture 32 - Expectation of Dicrete Random Variables, Expectation Over Different Spaces
Lecture 33 - Expectation of Dicrete Random Variables
Lecture 34 - Fatou'S Lemma and Dominated Convergence Theorem
Lecture 35 - Variance and Covariance
Lecture 36 - Covariance, Correlation Coefficient
Lecture 37 - Conditional Expectation
Lecture 38 - MMSE Estimator, Transforms
Lecture 39 - Moment Generating Function
Lecture 40 - Characteristic Function - 1
Lecture 41 - Characteristic Function - 2
Lecture 42 - Concentration Inequalities
Lecture 43 - Convergence of Random Variables - 1
Lecture 44 - Convergence of Random Variables - 2
Lecture 45 - Convergence of Random Variables - 3
Lecture 46 - Convergence of Charcteristic Functions, Limit Theorems
Lecture 47 - The Laws of Large Numbers
Lecture 48 - The Central Limit Theorem
Lecture 49 - A Brief Overview of Multivariate Gaussians

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