| 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 |