Learn · Probability and Random Processes (प्रायिकता एवं यादृच्छिक प्रक्रियाएँ)
Lecture 43 of 85week-06
Lec 43: Continuous Random Variables
Prof Rohit Sinha Prof. Ribhu · IIT Guwahati
Credits and licence
- From
- Probability and Random Processes (प्रायिकता एवं यादृच्छिक प्रक्रियाएँ), IIT Guwahati (at NPTEL)
- Licence
- CC BY-NC-SA, as NPTEL states it. Non-commercial use only.
- Attribution
- NPTEL states: "Distributed under Creative Commons Attribution-ShareAlike / CC BY - NC - SA", beside a BY-NC-SA badge.
- Who can watch
- Tweens profiles and older. How courses are placed
All the lectures
- Lec 1: Introduction
- Lec 2: Algebra of Events
- Lec 3: Axioms of Probability
- Lec 4: Example 1
- Lec 5: Example 2
- Lec 6: Example 3
- Lec 7: Example 4
- Lec 8: Example 5
- Lec 9: Conditional Probability
- Lec 10: Bayes Theorem 1
- Lec 11: Bayes Theorem 2
- Lec 12: A Brief Review
- Lec 13: Example 1
- Lec 14: Example 2
- Lec 15: Example 3
- Lec 16: Example 4
- Lec 17: Example 5
- Lec 18: Independent Events
- Lec 19: A Brief Review
- Lec 20: Example 1
- Lec 21: Example 2
- Lec 22: Example 3
- Lec 23: Example 4
- Lec 24: Discrete Random Variables
- Lec 25: Expectation
- Lec 26: Moments
- Lec 27: Variance
- Lec 28: Binomial Random Variables
- Lec 29: Poisson Random Variables
- Lec 30: More on Poission Random Variables
- Lec 31: Properties of the CDF
- Lec 32: A Brief Review I
- Lec 33: A Brief Review II
- Lec 34: Example 1
- Lec 35: Example 2
- Lec 36: Example 3
- Lec 37: Example 4
- Lec 38: Example 5
- Lec 39: Example 6
- Lec 40: Example 7
- Lec 41: Example 8
- Lec 42: Example 9
- Lec 43: Continuous Random Variables
- Lec 44: Expectation of Continuous random variables
- Lec 45: The uniform and the Gaussian Random variables
- Lec 46: The mean and variance of a Gaussian Random Variable
- Lec 47: The exponential random variable and other continuous distributions
- Lec 48: A Brief Review
- Lec 49: Example 1
- Lec 50: Example 2
- Lec 51: Example 3
- Lec 52: Example 4
- Lec 53: Example 5
- Lec 54: Functions of a random varible
- Lec 55: Functions of a random varible
- Lec 56: The moment generating function
- Lec 57: Conditional Distributions
- Lec 58: Bivariate Distributions
- Lec 59: Independence of Random Varibles
- Lec 60: Jointly Gaussian Random Varibales and Circular symmetry
- Lec 61: Jointly Discrete Random Variables
- Lec 62: One Function of two random variables
- Lec 63: Order Statistics
- Lec 64: Two functions of two random variables
- Lec 65: Joint Moments
- Lec 66: Joint Charactristic Functions
- Lec 67: Conditional Distributions for multiple random variables
- Lec 68: Conditional Expectations
- Lec 69: Examples
- Lec 70: Random Vectors
- Lec 71: Independence of Random Varibles
- Lec 72: Complex Random Varibales
- Lec 73: Covariance Matrices
- Lec 74: Conditional Densities
- Lec 75: Gaussianity
- Lec 76: Chi Squared Densities
- Lec 77: Examples
- Lec 78: Estimation Theory
- Lec 79: Measurements
- Lec 80: Sequences of Random Variables
- Lec 81: Laws of large numbers
- Lec 82: Random processes
- Lec 83: Stationarity, Cyclostationarity, Ergodicity
- Lec 84: Random Processes as Signals (PSD and LTI Response)
- Lec 85: White and Gaussian Processes Noise