| Sl.No | Chapter Name | MP4 Download |
|---|---|---|
| 1 | Random experiment, sample space, axioms of probability, probability space. | Download |
| 2 | Random experiment, sample space, axioms of probability, probability space. (Cont...) | Download |
| 3 | Random experiment, sample space, axioms of probability, probability space. (Contd...) | Download |
| 4 | Conditional probability, independence of events. | Download |
| 5 | Multiplication rule, total probability rule, Bayes's theorem. | Download |
| 6 | Definition of Random Variable, Cumulative Distribution Function | Download |
| 7 | Definition of Random Variable, Cumulative Distribution Function (Continued 1) | Download |
| 8 | Definition of Random Variable, Cumulative Distribution Function (Continued 2) | Download |
| 9 | Type of Random Variables, Probability Mass Function, Probability Density Function | Download |
| 10 | Type of Random Variables, Probability Mass Function, Probability Density Function (continued 1) | Download |
| 11 | Distribution of Function of Random Variables | Download |
| 12 | Mean and Variance | Download |
| 13 | Mean and Variance Continued | Download |
| 14 | Higher Order Moments and Moments Inequalities | Download |
| 15 | Higher Order Moments and Moments Inequalities Continued | Download |
| 16 | Generating Functions | Download |
| 17 | Generating Functions Continued | Download |
| 18 | Common Discrete Distributions | Download |
| 19 | Common Discrete Distributions Continued | Download |
| 20 | Common Continuous Distributions | Download |
| 21 | Common Continuous Distributions Continued | Download |
| 22 | Applications of Random Variable | Download |
| 23 | Applications of Random Variable Continued | Download |
| 24 | Random vector and joint distribution | Download |
| 25 | Joint probability mass function | Download |
| 26 | Joint probability density function | Download |
| 27 | Independent random variables | Download |
| 28 | Independent random variables Continued | Download |
| 29 | Functions of several random variables | Download |
| 30 | Functions of several random variables continued | Download |
| 31 | Some important results | Download |
| 32 | Order statistics | Download |
| 33 | Conditional distributions | Download |
| 34 | Random sum | Download |
| 35 | Moments and Covariance | Download |
| 36 | Variance Covariance matrix | Download |
| 37 | Multivariate Normal distribution | Download |
| 38 | Probability generating function and Moment generating function | Download |
| 39 | Correlation coefficient | Download |
| 40 | Conditional Expectation | Download |
| 41 | Conditional Expectation continued. | Download |
| 42 | Modes of Convergence | Download |
| 43 | Mode of Convergence (Continued) | Download |
| 44 | Law of Large Numbers | Download |
| 45 | Central Limit Theorem | Download |
| 46 | Central Limit Theorem (Continued) | Download |
| 47 | Motivation for Stochastic Processes | Download |
| 48 | Definition of a Stochastic Process | Download |
| 49 | Classification of Stochastic Processes | Download |
| 50 | Examples of Stochastic Process | Download |
| 51 | Examples Of Stochastic Process (Continued) | Download |
| 52 | Bernoulli Process | Download |
| 53 | Poisson Process | Download |
| 54 | Poisson Process (Continued) | Download |
| 55 | Simple Random Walk | Download |
| 56 | Time Series and Related Definitions | Download |
| 57 | Strict Sense Stationary Process | Download |
| 58 | Wide Sense Stationary Process and Examples | Download |
| 59 | Examples of Stationary Processes Continued | Download |
| 60 | Discrete Time Markov Chain (DTMC) | Download |
| 61 | DTMC continued | Download |
| 62 | Examples of DTMC | Download |
| 63 | Examples of DTMC continued | Download |
| 64 | Chapman-Kolmogorov equations and N-step transition matrix | Download |
| 65 | Examples based on N-step transition matrix | Download |
| 66 | Examples continued | Download |
| 67 | Classification of states | Download |
| 68 | Classification of states continued | Download |
| 69 | Calculation of N-Step-9 | Download |
| 70 | Calculation of N-Step-10 | Download |
| 71 | Limiting and Stationary distributions | Download |
| 72 | Limiting and Stationary distributions continued | Download |
| 73 | Continuous time Markov chain (CTMC) | Download |
| 74 | CTMC continued | Download |
| 75 | State transition diagram and Chapman-Kolmogorov equation | Download |
| 76 | Infinitesimal generator and Kolmogorov differential equations | Download |
| 77 | Limiting distribution | Download |
| 78 | Limiting and Stationary distributions -1 | Download |
| 79 | Birth death process | Download |
| 80 | Birth death process continued | Download |
| 81 | Poisson process -1 | Download |
| 82 | Poisson process continued | Download |
| 83 | Poisson process (cont.) | Download |
| 84 | Non-homogeneous and compound Poisson process | Download |
| 85 | Introduction to Queueing Models and Kendall Notation | Download |
| 86 | M/M/1 Queueing Model | Download |
| 87 | M/M/1 Queueing Model Continued... | Download |
| 88 | M/M/1 Queueing Model and Burke's Theorem | Download |
| 89 | M/M/c Queueing Model | Download |
| 90 | M/M/c continued and M/M/1/N Model | Download |
| 91 | Other Markovian Queueing Models | Download |
| 92 | Transient Solution of Finite Capacity Markovian Queues | Download |
| Sl.No | Chapter Name | English |
|---|---|---|
| 1 | Random experiment, sample space, axioms of probability, probability space. | Download Verified |
| 2 | Random experiment, sample space, axioms of probability, probability space. (Cont...) | Download Verified |
| 3 | Random experiment, sample space, axioms of probability, probability space. (Contd...) | Download Verified |
| 4 | Conditional probability, independence of events. | Download Verified |
| 5 | Multiplication rule, total probability rule, Bayes's theorem. | Download Verified |
| 6 | Definition of Random Variable, Cumulative Distribution Function | Download Verified |
| 7 | Definition of Random Variable, Cumulative Distribution Function (Continued 1) | Download Verified |
| 8 | Definition of Random Variable, Cumulative Distribution Function (Continued 2) | Download Verified |
| 9 | Type of Random Variables, Probability Mass Function, Probability Density Function | Download Verified |
| 10 | Type of Random Variables, Probability Mass Function, Probability Density Function (continued 1) | Download Verified |
| 11 | Distribution of Function of Random Variables | Download Verified |
| 12 | Mean and Variance | Download Verified |
| 13 | Mean and Variance Continued | Download Verified |
| 14 | Higher Order Moments and Moments Inequalities | Download Verified |
| 15 | Higher Order Moments and Moments Inequalities Continued | Download Verified |
| 16 | Generating Functions | Download Verified |
| 17 | Generating Functions Continued | Download Verified |
| 18 | Common Discrete Distributions | Download Verified |
| 19 | Common Discrete Distributions Continued | Download Verified |
| 20 | Common Continuous Distributions | Download Verified |
| 21 | Common Continuous Distributions Continued | Download Verified |
| 22 | Applications of Random Variable | Download Verified |
| 23 | Applications of Random Variable Continued | Download Verified |
| 24 | Random vector and joint distribution | Download Verified |
| 25 | Joint probability mass function | Download Verified |
| 26 | Joint probability density function | Download Verified |
| 27 | Independent random variables | Download Verified |
| 28 | Independent random variables Continued | Download Verified |
| 29 | Functions of several random variables | Download Verified |
| 30 | Functions of several random variables continued | Download Verified |
| 31 | Some important results | Download Verified |
| 32 | Order statistics | Download Verified |
| 33 | Conditional distributions | Download Verified |
| 34 | Random sum | Download Verified |
| 35 | Moments and Covariance | Download Verified |
| 36 | Variance Covariance matrix | Download Verified |
| 37 | Multivariate Normal distribution | Download Verified |
| 38 | Probability generating function and Moment generating function | Download Verified |
| 39 | Correlation coefficient | Download Verified |
| 40 | Conditional Expectation | Download Verified |
| 41 | Conditional Expectation continued. | Download Verified |
| 42 | Modes of Convergence | Download Verified |
| 43 | Mode of Convergence (Continued) | Download Verified |
| 44 | Law of Large Numbers | Download Verified |
| 45 | Central Limit Theorem | Download Verified |
| 46 | Central Limit Theorem (Continued) | Download Verified |
| 47 | Motivation for Stochastic Processes | Download Verified |
| 48 | Definition of a Stochastic Process | Download Verified |
| 49 | Classification of Stochastic Processes | Download Verified |
| 50 | Examples of Stochastic Process | Download Verified |
| 51 | Examples Of Stochastic Process (Continued) | Download Verified |
| 52 | Bernoulli Process | Download Verified |
| 53 | Poisson Process | Download Verified |
| 54 | Poisson Process (Continued) | Download Verified |
| 55 | Simple Random Walk | Download Verified |
| 56 | Time Series and Related Definitions | Download Verified |
| 57 | Strict Sense Stationary Process | Download Verified |
| 58 | Wide Sense Stationary Process and Examples | Download Verified |
| 59 | Examples of Stationary Processes Continued | Download Verified |
| 60 | Discrete Time Markov Chain (DTMC) | Download Verified |
| 61 | DTMC continued | Download Verified |
| 62 | Examples of DTMC | Download Verified |
| 63 | Examples of DTMC continued | Download Verified |
| 64 | Chapman-Kolmogorov equations and N-step transition matrix | Download Verified |
| 65 | Examples based on N-step transition matrix | Download Verified |
| 66 | Examples continued | Download Verified |
| 67 | Classification of states | Download Verified |
| 68 | Classification of states continued | Download Verified |
| 69 | Calculation of N-Step-9 | Download Verified |
| 70 | Calculation of N-Step-10 | Download Verified |
| 71 | Limiting and Stationary distributions | Download Verified |
| 72 | Limiting and Stationary distributions continued | Download Verified |
| 73 | Continuous time Markov chain (CTMC) | Download Verified |
| 74 | CTMC continued | Download Verified |
| 75 | State transition diagram and Chapman-Kolmogorov equation | Download Verified |
| 76 | Infinitesimal generator and Kolmogorov differential equations | Download Verified |
| 77 | Limiting distribution | Download Verified |
| 78 | Limiting and Stationary distributions -1 | Download Verified |
| 79 | Birth death process | Download Verified |
| 80 | Birth death process continued | Download Verified |
| 81 | Poisson process -1 | Download Verified |
| 82 | Poisson process continued | Download Verified |
| 83 | Poisson process (cont.) | Download Verified |
| 84 | Non-homogeneous and compound Poisson process | Download Verified |
| 85 | Introduction to Queueing Models and Kendall Notation | Download Verified |
| 86 | M/M/1 Queueing Model | Download Verified |
| 87 | M/M/1 Queueing Model Continued... | Download Verified |
| 88 | M/M/1 Queueing Model and Burke's Theorem | Download Verified |
| 89 | M/M/c Queueing Model | Download Verified |
| 90 | M/M/c continued and M/M/1/N Model | Download Verified |
| 91 | Other Markovian Queueing Models | Download Verified |
| 92 | Transient Solution of Finite Capacity Markovian Queues | Download Verified |
| Sl.No | Language | Book link |
|---|---|---|
| 1 | English | Download |
| 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 |