Modules / Lectures

Module Name | Download |
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noc18_ma19_Assignment1 | noc18_ma19_Assignment1 |

noc18_ma19_Assignment10 | noc18_ma19_Assignment10 |

noc18_ma19_Assignment11 | noc18_ma19_Assignment11 |

noc18_ma19_Assignment12 | noc18_ma19_Assignment12 |

noc18_ma19_Assignment13 | noc18_ma19_Assignment13 |

noc18_ma19_Assignment2 | noc18_ma19_Assignment2 |

noc18_ma19_Assignment3 | noc18_ma19_Assignment3 |

noc18_ma19_Assignment4 | noc18_ma19_Assignment4 |

noc18_ma19_Assignment5 | noc18_ma19_Assignment5 |

noc18_ma19_Assignment6 | noc18_ma19_Assignment6 |

noc18_ma19_Assignment7 | noc18_ma19_Assignment7 |

noc18_ma19_Assignment8 | noc18_ma19_Assignment8 |

noc18_ma19_Assignment9 | noc18_ma19_Assignment9 |

Sl.No | Chapter Name | English |
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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 |
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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 |