Modules / Lectures

Sl.No | Chapter Name | MP4 Download |
---|---|---|

1 | Experiments, Outcomes and Events | Download |

2 | Examples: Experiments and sample spaces | Download |

3 | Operations on Events | Download |

4 | Examples: Sample spaces and events | Download |

5 | Sigma Fields and Probability | Download |

6 | Discrete Sample Spaces | Download |

7 | Union and Partition | Download |

8 | Examples: Probability Calculation for Equally likely Outcomes | Download |

9 | Definition and Basic Properties | Download |

10 | Bayes' Rule for Partitions | Download |

11 | Examples: Conditional probability | Download |

12 | Example of Detection | Download |

13 | Example: Coloured Cards from a Box | Download |

14 | Independence of Events | Download |

15 | Examples: Independence | Download |

16 | Combining Independent Experiments | Download |

17 | Conditional Independence | Download |

18 | Examples and Computations with Conditional Independence | Download |

19 | Binomial and Geometric Models | Download |

20 | Examples: Binomial and Geometric Model | Download |

21 | Example: Random walk | Download |

22 | Definition and Discrete Setting | Download |

23 | Random Variables and Events | Download |

24 | Examples: Discrete random variables | Download |

25 | Important distributions | Download |

26 | Examples: Discrete PMFs | Download |

27 | Real-life modeling example | Download |

28 | More Distributions | Download |

29 | Conditional PMFs, Conditioning on an event, Indicator random variables | Download |

30 | Example: Conditioning on an event, Indicator random variables | Download |

31 | Multiple random variables and joint distribution | Download |

32 | Example: Two random variables | Download |

33 | Marginal PMF | Download |

34 | Trinomial joint PMF | Download |

35 | Events and Conditioning with Two Random Variables | Download |

36 | Example: Compute Marginal and Conditional PMFs, Probability of Events | Download |

37 | Independent random variables | Download |

38 | More on independence | Download |

39 | Example: IID Repetitions | Download |

40 | Addition of Random Variables | Download |

41 | Sum, Difference and Max of Two Random Variables | Download |

42 | More Computations: Min of Two Random Variables | Download |

43 | Example: X+Y, X-Y, min(X,Y), max(X,Y) | Download |

44 | Real line as sample space | Download |

45 | Probability density function (pdf) | Download |

46 | Cumulative distribution function (CDF) | Download |

47 | Continuous random variables | Download |

48 | pdf and CDF of Continuous Random Variables | Download |

49 | Spinning pointer example | Download |

50 | Important continuous distributions | Download |

51 | More continuous distributions | Download |

52 | Two-dimensional real sample space | Download |

53 | Joint pdf and joint CDF | Download |

54 | More on assigning probability to regions of x-y plain | Download |

55 | Darts example and marginal pdfs | Download |

56 | Independence to two continuous random variables | Download |

57 | Examples: two independent continuous random variables | Download |

58 | Prob X grater then Y : Computation of Probability of a Non-rectangular Region | Download |

59 | Conditional pdfs for continuous r.v. | Download |

60 | Conditional pdfs (Continued) | Download |

61 | Transformations of random variables | Download |

62 | CDF method | Download |

63 | pdf method | Download |

64 | Examples | Download |

65 | One-to-one transformations | Download |

66 | Expected Value or Mean of a Random Variable | Download |

67 | Properties of Expectation | Download |

68 | Examples: Symmetry | Download |

69 | Expectation Computations for Important Distributions | Download |

70 | Variance | Download |

71 | Examples of Variance | Download |

72 | Correlation and Covariance | Download |

73 | Expectations with two random variables | Download |

74 | Examples: Continuous Distributions | Download |

75 | Examples: Discrete Distributions | Download |

76 | Covariance, continued | Download |

77 | Inequalities or Bounds involving E(.) | Download |

78 | Cauchy-Schwartz Inequality | Download |

79 | Conditional Expectations | Download |

80 | Eg of Conditional Expectations with Uniform r.v (in detail) | Download |

81 | Eg of Conditional Expectations with Poisson r.v (in detail) | Download |

82 | Weak Law of Large Numbers | Download |

83 | Central Limit Theorem (with Examples) | Download |

Sl.No | Chapter Name | English |
---|---|---|

1 | Experiments, Outcomes and Events | PDF unavailable |

2 | Examples: Experiments and sample spaces | PDF unavailable |

3 | Operations on Events | PDF unavailable |

4 | Examples: Sample spaces and events | PDF unavailable |

5 | Sigma Fields and Probability | PDF unavailable |

6 | Discrete Sample Spaces | PDF unavailable |

7 | Union and Partition | PDF unavailable |

8 | Examples: Probability Calculation for Equally likely Outcomes | PDF unavailable |

9 | Definition and Basic Properties | PDF unavailable |

10 | Bayes' Rule for Partitions | PDF unavailable |

11 | Examples: Conditional probability | PDF unavailable |

12 | Example of Detection | PDF unavailable |

13 | Example: Coloured Cards from a Box | PDF unavailable |

14 | Independence of Events | PDF unavailable |

15 | Examples: Independence | PDF unavailable |

16 | Combining Independent Experiments | PDF unavailable |

17 | Conditional Independence | PDF unavailable |

18 | Examples and Computations with Conditional Independence | PDF unavailable |

19 | Binomial and Geometric Models | PDF unavailable |

20 | Examples: Binomial and Geometric Model | PDF unavailable |

21 | Example: Random walk | PDF unavailable |

22 | Definition and Discrete Setting | PDF unavailable |

23 | Random Variables and Events | PDF unavailable |

24 | Examples: Discrete random variables | PDF unavailable |

25 | Important distributions | PDF unavailable |

26 | Examples: Discrete PMFs | PDF unavailable |

27 | Real-life modeling example | PDF unavailable |

28 | More Distributions | PDF unavailable |

29 | Conditional PMFs, Conditioning on an event, Indicator random variables | PDF unavailable |

30 | Example: Conditioning on an event, Indicator random variables | PDF unavailable |

31 | Multiple random variables and joint distribution | PDF unavailable |

32 | Example: Two random variables | PDF unavailable |

33 | Marginal PMF | PDF unavailable |

34 | Trinomial joint PMF | PDF unavailable |

35 | Events and Conditioning with Two Random Variables | PDF unavailable |

36 | Example: Compute Marginal and Conditional PMFs, Probability of Events | PDF unavailable |

37 | Independent random variables | PDF unavailable |

38 | More on independence | PDF unavailable |

39 | Example: IID Repetitions | PDF unavailable |

40 | Addition of Random Variables | PDF unavailable |

41 | Sum, Difference and Max of Two Random Variables | PDF unavailable |

42 | More Computations: Min of Two Random Variables | PDF unavailable |

43 | Example: X+Y, X-Y, min(X,Y), max(X,Y) | PDF unavailable |

44 | Real line as sample space | PDF unavailable |

45 | Probability density function (pdf) | PDF unavailable |

46 | Cumulative distribution function (CDF) | PDF unavailable |

47 | Continuous random variables | PDF unavailable |

48 | pdf and CDF of Continuous Random Variables | PDF unavailable |

49 | Spinning pointer example | PDF unavailable |

50 | Important continuous distributions | PDF unavailable |

51 | More continuous distributions | PDF unavailable |

52 | Two-dimensional real sample space | PDF unavailable |

53 | Joint pdf and joint CDF | PDF unavailable |

54 | More on assigning probability to regions of x-y plain | PDF unavailable |

55 | Darts example and marginal pdfs | PDF unavailable |

56 | Independence to two continuous random variables | PDF unavailable |

57 | Examples: two independent continuous random variables | PDF unavailable |

58 | Prob X grater then Y : Computation of Probability of a Non-rectangular Region | PDF unavailable |

59 | Conditional pdfs for continuous r.v. | PDF unavailable |

60 | Conditional pdfs (Continued) | PDF unavailable |

61 | Transformations of random variables | PDF unavailable |

62 | CDF method | PDF unavailable |

63 | pdf method | PDF unavailable |

64 | Examples | PDF unavailable |

65 | One-to-one transformations | PDF unavailable |

66 | Expected Value or Mean of a Random Variable | PDF unavailable |

67 | Properties of Expectation | PDF unavailable |

68 | Examples: Symmetry | PDF unavailable |

69 | Expectation Computations for Important Distributions | PDF unavailable |

70 | Variance | PDF unavailable |

71 | Examples of Variance | PDF unavailable |

72 | Correlation and Covariance | PDF unavailable |

73 | Expectations with two random variables | PDF unavailable |

74 | Examples: Continuous Distributions | PDF unavailable |

75 | Examples: Discrete Distributions | PDF unavailable |

76 | Covariance, continued | PDF unavailable |

77 | Inequalities or Bounds involving E(.) | PDF unavailable |

78 | Cauchy-Schwartz Inequality | PDF unavailable |

79 | Conditional Expectations | PDF unavailable |

80 | Eg of Conditional Expectations with Uniform r.v (in detail) | PDF unavailable |

81 | Eg of Conditional Expectations with Poisson r.v (in detail) | PDF unavailable |

82 | Weak Law of Large Numbers | PDF unavailable |

83 | Central Limit Theorem (with Examples) | PDF unavailable |

Sl.No | Language | Book link |
---|---|---|

1 | English | Not Available |

2 | Bengali | Not Available |

3 | Gujarati | Not Available |

4 | Hindi | Not Available |

5 | Kannada | Not Available |

6 | Malayalam | Not Available |

7 | Marathi | Not Available |

8 | Tamil | Not Available |

9 | Telugu | Not Available |