Learn · Introduction to Probability Theory and Statistics
Lecture 31 of 58week-06
Some important results
Prof. S Dharmaraja · IIT Delhi
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- Introduction to Probability Theory and Statistics, IIT Delhi (at NPTEL)
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All the lectures
- Lecture 1
- Random experiment, sample space, axioms of probability, probability space. (Cont...)
- Random experiment, sample space, axioms of probability, probability space. (Contd...)
- Conditional probability, independence of events.
- Multiplication rule, total probability rule, Bayes's theorem.
- Lecture 6
- Definition of Random Variable, Cumulative Distribution Function (Continued 1)
- Definition of Random Variable, Cumulative Distribution Function (Continued 2)
- Type of Random Variables, Probability Mass Function, Probability Density Function
- Type of Random Variables, Probability Mass Function, Probability Density Function (continued 1)
- Distribution of Function of Random Variables
- Lecture 12
- Mean and Variance Continued
- Higher Order Moments and Moments Inequalities
- Higher Order Moments and Moments Inequalities Continued
- Generating Functions
- Generating Functions Continued
- Lecture 18
- Common Discrete Distributions Continued
- Common Continuous Distributions
- Common Continuous Distributions Continued
- Applications of Random Variable
- Applications of Random Variable Continued
- Lecture 24
- Joint probability mass function
- Joint probability density function
- Independent random variables
- Independent random variables Continued
- Lecture 29
- Functions of several random variables continued
- Some important results
- Order statistics
- Conditional distributions
- Random sum
- Lecture 35
- Variance Covariance matrix
- Multivariate Normal distribution
- Probability generating function and Moment generating function
- Correlation coefficient
- Conditional Expectation
- Conditional Expectation continued.
- Lecture 42
- Mode of Convergence (Continued)
- Law of Large Numbers
- Central Limit Theorem
- Central Limit Theorem (Continued)
- Lecture 47
- Lecture 48
- Lecture 49
- Lecture 50
- Lecture 51
- Lecture 52
- Lecture 53
- Lecture 54
- Lecture 55
- Lecture 56
- Lecture 57
- Lecture 58