NOC:Probability and Random Processes

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Media Storage Type : 32 GB USB Stick

NPTEL Subject Matter Expert : Prof. Ribhu, Prof. Rohit Sinha

NPTEL Co-ordinating Institute : IIT Guwahati

NPTEL Lecture Count : 85

NPTEL Course Size : 3.5 GB

NPTEL PDF Text Transcription : Available and Included

NPTEL Subtitle Transcription : Available and Included (SRT)


Lecture Titles:

Lecture 1 - Introduction
Lecture 2 - Algebra of Events
Lecture 3 - Axioms of Probability
Lecture 4 - Example 1
Lecture 5 - Example 2
Lecture 6 - Example 3
Lecture 7 - Example 4
Lecture 8 - Example 5
Lecture 9 - Conditional Probability
Lecture 10 - Bayes Theorem 1
Lecture 11 - Bayes Theorem 2
Lecture 12 - A Brief Review
Lecture 13 - Example 1
Lecture 14 - Example 2
Lecture 15 - Example 3
Lecture 16 - Example 4
Lecture 17 - Example 5
Lecture 18 - Independent Events
Lecture 19 - A Brief Review
Lecture 20 - Example 1
Lecture 21 - Example 2
Lecture 22 - Example 3
Lecture 23 - Example 4
Lecture 24 - Discrete Random Variables
Lecture 25 - Expectation
Lecture 26 - Moments
Lecture 27 - Variance
Lecture 28 - Binomial Random Variables
Lecture 29 - Poisson Random Variables
Lecture 30 - More on Poission Random Variables
Lecture 31 - Properties of the CDF
Lecture 32 - A Brief Review - I
Lecture 33 - A Brief Review - II
Lecture 34 - Example 1
Lecture 35 - Example 2
Lecture 36 - Example 3
Lecture 37 - Example 4
Lecture 38 - Example 5
Lecture 39 - Example 6
Lecture 40 - Example 7
Lecture 41 - Example 8
Lecture 42 - Example 9
Lecture 43 - Continuous Random Variables
Lecture 44 - Expectation of Continuous random variables
Lecture 45 - The uniform and the Gaussian Random variables
Lecture 46 - The mean and variance of a Gaussian Random Variable
Lecture 47 - The exponential random variable and other continuous distributions
Lecture 48 - A Brief Review
Lecture 49 - Example 1
Lecture 50 - Example 2
Lecture 51 - Example 3
Lecture 52 - Example 4
Lecture 53 - Example 5
Lecture 54 - Functions of a random varible
Lecture 55 - Functions of a random varible
Lecture 56 - The moment generating function
Lecture 57 - Conditional Distributions
Lecture 58 - Bivariate Distributions
Lecture 59 - Independence of Random Varibles
Lecture 60 - Jointly Gaussian Random Varibales and Circular symmetry
Lecture 61 - Jointly Discrete Random Variables
Lecture 62 - One Function of two random variables
Lecture 63 - Order Statistics
Lecture 64 - Two functions of two random variables
Lecture 65 - Joint Moments
Lecture 66 - Joint Charactristic Functions
Lecture 67 - Conditional Distributions for multiple random variables
Lecture 68 - Conditional Expectations
Lecture 69 - Examples
Lecture 70 - Random Vectors
Lecture 71 - Independence of Random Varibles
Lecture 72 - Complex Random Varibales
Lecture 73 - Covariance Matrices
Lecture 74 - Conditional Densities
Lecture 75 - Gaussianity
Lecture 76 - Chi Squared Densities
Lecture 77 - Examples
Lecture 78 - Estimation Theory
Lecture 79 - Measurements
Lecture 80 - Sequences of Random Variables
Lecture 81 - Laws of large numbers
Lecture 82 - Random processes
Lecture 83 - Stationarity, Cyclostationarity, Ergodicity
Lecture 84 - Random Processes as Signals (PSD and LTI Response)
Lecture 85 - White and Gaussian Processes Noise

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