| Name | Download | Download Size |
|---|---|---|
| Lecture Note | Download as zip file | 6.4M |
| Sl.No | Chapter Name | MP4 Download |
|---|---|---|
| 1 | Introduction | Download |
| 2 | Cardinality | Download |
| 3 | Countability | Download |
| 4 | Uncountable sets-1 | Download |
| 5 | Uncountable sets-2 | Download |
| 6 | Probability spaces-Introduction | Download |
| 7 | Probability spaces-Algebra | Download |
| 8 | Probability spaces-σ-algebra | Download |
| 9 | Probability spaces-Measurable space | Download |
| 10 | Properties of probability measures | Download |
| 11 | Continuity of probability measure | Download |
| 12 | Discrete probability space-finite and countably infinite sample space | Download |
| 13 | Discrete probability space-Uncountable sample space | Download |
| 14 | Generated σ-algebra, Borel Sets | Download |
| 15 | Borel sets | Download |
| 16 | Uniform probability measure on Borel sets-Lebesgue measure | Download |
| 17 | Carathéodory’s extension theorem | Download |
| 18 | Lebesgue measure (contd) | Download |
| 19 | Infinite coin toss model | Download |
| 20 | Infinite coin toss model (Contd) | Download |
| 21 | Conditional probability | Download |
| 22 | Properties of conditional probability | Download |
| 23 | Independence of events | Download |
| 24 | Independence of σ-algebras | Download |
| 25 | Borel-Cantelli Lemma 1 | Download |
| 26 | Borel-Cantelli Lemma 2 | Download |
| 27 | Random Variables | Download |
| 28 | Random Variables (Contd) | Download |
| 29 | Cumulative Distribution Function | Download |
| 30 | Properties of CDF | Download |
| 31 | Types of Random Variables | Download |
| 32 | Examples of Random Variables | Download |
| 33 | Continuous Random Variables - 1 | Download |
| 34 | Examples of Continuous Random Variables - 1 | Download |
| 35 | Continuous Random Variables - 2,Examples of Continuous RandomVariables - 2 | Download |
| 36 | Singular Random Variables | Download |
| 37 | Several Random Variables - 1 | Download |
| 38 | Several Random Variables - 2 | Download |
| 39 | Independent Random Variables - 1 | Download |
| 40 | Independent Random Variables - 2 | Download |
| 41 | Conditional PMF, Jointly Continuous Random Variables - 1 | Download |
| 42 | Jointly Continous RandomVariables - 2 | Download |
| 43 | Jointly Continuous RandomVariables - 3 | Download |
| 44 | Conditional CDF | Download |
| 45 | Transformation of RandomVariables - 1 | Download |
| 46 | Transformation of RandomVariables - 2; IndependentRandom Variables | Download |
| 47 | Sums of Discrete RandomVariables | Download |
| 48 | Sums of Jointly ContinuousRandom Variables | Download |
| 49 | Sums of Random Number of Random Variables | Download |
| 50 | General Transformations of Random Variables | Download |
| 51 | Jacobian Formula | Download |
| 52 | Examples Illustrating the use of Jacobian Formula | Download |
| 53 | Introduction Integral and Expectation | Download |
| 54 | Definition of the Abstract Integral | Download |
| 55 | Simple Functions | Download |
| 56 | Computing Expectation using Simple Functions, Properties of Integrals | Download |
| 57 | Properties of Integrals (Contd.) | Download |
| 58 | Inclusion Exclusion Formula using Indicator RVs and Expectation | Download |
| 59 | Monotone Convergence Theorem - 1 | Download |
| 60 | Monotone Convergence Theorem - 2 | Download |
| 61 | Expectation of a Discrete Random Variable | Download |
| 62 | Examples of Expectation of Discrete Random Variables | Download |
| 63 | Expectation of Function of Random Variable | Download |
| 64 | Some Examples of Computing Expectation | Download |
| 65 | Fatou’s Lemma | Download |
| 66 | Dominated Convergence Theorem | Download |
| 67 | Variance | Download |
| 68 | Covariance | Download |
| 69 | Covariance Correlation Coefficient - 1 | Download |
| 70 | Covariance Correlation Coefficient - 2 | Download |
| 71 | Conditional Expectation | Download |
| 72 | Properties of Conditional Expectation | Download |
| 73 | MMSE Estimator | Download |
| 74 | Transforms | Download |
| 75 | Moment Generating Function - 1 | Download |
| 76 | Moment Generating Function - 2 | Download |
| 77 | Characteristic Function - 1 | Download |
| 78 | Characteristic Function - 2 | Download |
| 79 | Characteristic Function - 3 | Download |
| 80 | Characteristic Function - 4 | Download |
| 81 | Concentration Inequalities - 1 | Download |
| 82 | Concentration Inequalities - 2 | Download |
| 83 | Convergence of Random Variables - 1 | Download |
| 84 | Convergence of Random Variables - 2 | Download |
| 85 | Convergence of Random Variables - 3 | Download |
| 86 | Convergence of Random Variables - 4 | Download |
| 87 | Convergence of Random Variables - 5 | Download |
| 88 | Convergence of Random Variables - 6 | Download |
| 89 | Convergence Of Characteristic Functions | Download |
| 90 | Limit Theorems | Download |
| 91 | The Law of Large Numbers - 1 | Download |
| 92 | The Law of Large Numbers - 2 | Download |
| 93 | The Central Limit Theorem - 1 | Download |
| 94 | The Central Limit Theorem - 2 | Download |
| 95 | A Brief Overview of Multivariate Gaussians - 1 | Download |
| 96 | A Brief Overview of Multivariate Gaussians - 2 | Download |
| Sl.No | Chapter Name | English |
|---|---|---|
| 1 | Introduction | PDF unavailable |
| 2 | Cardinality | PDF unavailable |
| 3 | Countability | PDF unavailable |
| 4 | Uncountable sets-1 | PDF unavailable |
| 5 | Uncountable sets-2 | PDF unavailable |
| 6 | Probability spaces-Introduction | PDF unavailable |
| 7 | Probability spaces-Algebra | PDF unavailable |
| 8 | Probability spaces-σ-algebra | PDF unavailable |
| 9 | Probability spaces-Measurable space | PDF unavailable |
| 10 | Properties of probability measures | PDF unavailable |
| 11 | Continuity of probability measure | PDF unavailable |
| 12 | Discrete probability space-finite and countably infinite sample space | PDF unavailable |
| 13 | Discrete probability space-Uncountable sample space | PDF unavailable |
| 14 | Generated σ-algebra, Borel Sets | PDF unavailable |
| 15 | Borel sets | PDF unavailable |
| 16 | Uniform probability measure on Borel sets-Lebesgue measure | PDF unavailable |
| 17 | Carathéodory’s extension theorem | PDF unavailable |
| 18 | Lebesgue measure (contd) | PDF unavailable |
| 19 | Infinite coin toss model | PDF unavailable |
| 20 | Infinite coin toss model (Contd) | PDF unavailable |
| 21 | Conditional probability | PDF unavailable |
| 22 | Properties of conditional probability | PDF unavailable |
| 23 | Independence of events | PDF unavailable |
| 24 | Independence of σ-algebras | PDF unavailable |
| 25 | Borel-Cantelli Lemma 1 | PDF unavailable |
| 26 | Borel-Cantelli Lemma 2 | PDF unavailable |
| 27 | Random Variables | PDF unavailable |
| 28 | Random Variables (Contd) | PDF unavailable |
| 29 | Cumulative Distribution Function | PDF unavailable |
| 30 | Properties of CDF | PDF unavailable |
| 31 | Types of Random Variables | PDF unavailable |
| 32 | Examples of Random Variables | PDF unavailable |
| 33 | Continuous Random Variables - 1 | PDF unavailable |
| 34 | Examples of Continuous Random Variables - 1 | PDF unavailable |
| 35 | Continuous Random Variables - 2,Examples of Continuous RandomVariables - 2 | PDF unavailable |
| 36 | Singular Random Variables | PDF unavailable |
| 37 | Several Random Variables - 1 | PDF unavailable |
| 38 | Several Random Variables - 2 | PDF unavailable |
| 39 | Independent Random Variables - 1 | PDF unavailable |
| 40 | Independent Random Variables - 2 | PDF unavailable |
| 41 | Conditional PMF, Jointly Continuous Random Variables - 1 | PDF unavailable |
| 42 | Jointly Continous RandomVariables - 2 | PDF unavailable |
| 43 | Jointly Continuous RandomVariables - 3 | PDF unavailable |
| 44 | Conditional CDF | PDF unavailable |
| 45 | Transformation of RandomVariables - 1 | PDF unavailable |
| 46 | Transformation of RandomVariables - 2; IndependentRandom Variables | PDF unavailable |
| 47 | Sums of Discrete RandomVariables | PDF unavailable |
| 48 | Sums of Jointly ContinuousRandom Variables | PDF unavailable |
| 49 | Sums of Random Number of Random Variables | PDF unavailable |
| 50 | General Transformations of Random Variables | PDF unavailable |
| 51 | Jacobian Formula | PDF unavailable |
| 52 | Examples Illustrating the use of Jacobian Formula | PDF unavailable |
| 53 | Introduction Integral and Expectation | PDF unavailable |
| 54 | Definition of the Abstract Integral | PDF unavailable |
| 55 | Simple Functions | PDF unavailable |
| 56 | Computing Expectation using Simple Functions, Properties of Integrals | PDF unavailable |
| 57 | Properties of Integrals (Contd.) | PDF unavailable |
| 58 | Inclusion Exclusion Formula using Indicator RVs and Expectation | PDF unavailable |
| 59 | Monotone Convergence Theorem - 1 | PDF unavailable |
| 60 | Monotone Convergence Theorem - 2 | PDF unavailable |
| 61 | Expectation of a Discrete Random Variable | PDF unavailable |
| 62 | Examples of Expectation of Discrete Random Variables | PDF unavailable |
| 63 | Expectation of Function of Random Variable | PDF unavailable |
| 64 | Some Examples of Computing Expectation | PDF unavailable |
| 65 | Fatou’s Lemma | PDF unavailable |
| 66 | Dominated Convergence Theorem | PDF unavailable |
| 67 | Variance | PDF unavailable |
| 68 | Covariance | PDF unavailable |
| 69 | Covariance Correlation Coefficient - 1 | PDF unavailable |
| 70 | Covariance Correlation Coefficient - 2 | PDF unavailable |
| 71 | Conditional Expectation | PDF unavailable |
| 72 | Properties of Conditional Expectation | PDF unavailable |
| 73 | MMSE Estimator | PDF unavailable |
| 74 | Transforms | PDF unavailable |
| 75 | Moment Generating Function - 1 | PDF unavailable |
| 76 | Moment Generating Function - 2 | PDF unavailable |
| 77 | Characteristic Function - 1 | PDF unavailable |
| 78 | Characteristic Function - 2 | PDF unavailable |
| 79 | Characteristic Function - 3 | PDF unavailable |
| 80 | Characteristic Function - 4 | PDF unavailable |
| 81 | Concentration Inequalities - 1 | PDF unavailable |
| 82 | Concentration Inequalities - 2 | PDF unavailable |
| 83 | Convergence of Random Variables - 1 | PDF unavailable |
| 84 | Convergence of Random Variables - 2 | PDF unavailable |
| 85 | Convergence of Random Variables - 3 | PDF unavailable |
| 86 | Convergence of Random Variables - 4 | PDF unavailable |
| 87 | Convergence of Random Variables - 5 | PDF unavailable |
| 88 | Convergence of Random Variables - 6 | PDF unavailable |
| 89 | Convergence Of Characteristic Functions | PDF unavailable |
| 90 | Limit Theorems | PDF unavailable |
| 91 | The Law of Large Numbers - 1 | PDF unavailable |
| 92 | The Law of Large Numbers - 2 | PDF unavailable |
| 93 | The Central Limit Theorem - 1 | PDF unavailable |
| 94 | The Central Limit Theorem - 2 | PDF unavailable |
| 95 | A Brief Overview of Multivariate Gaussians - 1 | PDF unavailable |
| 96 | A Brief Overview of Multivariate Gaussians - 2 | 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 |