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Sl.No Chapter Name English
1Introduction and motivation for studying stochastic processesDownload
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2Probability space and conditional probabilityDownload
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3Random variable and cumulative distributive functionDownload
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4Discrete Uniform Distribution, Binomial Distribution, Geometric Distribution, Continuous Uniform Distribution, Exponential Distribution, Normal Distribution and Poisson DistributionDownload
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5Joint Distribution of Random VariablesDownload
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6Independent Random Variables, Covariance and Correlation Coefficient and Conditional DistributionDownload
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7Conditional Expectation and Covariance MatrixDownload
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8Generating Functions, Law of Large Numbers and Central Limit TheoremDownload
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9Problems in Random variables and DistributionsDownload
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10Problems in Random variables and Distributions (contd.)Download
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11Problems in Random variables and Distributions (contd..)Download
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12Problems in Random variables and Distributions (contd...)Download
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13Problems in Sequences of Random VariablesDownload
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14Problems in Sequences of Random Variables (Contd)Download
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15Problems in Sequences of Random Variables (Contd.)Download
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16Problems in Sequences of Random Variables (Contd..)Download
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17Definition of Stochastic Processes, Parameter and State SpacesDownload
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18Classification of Stochastic ProcessesDownload
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19Examples of Classification of Stochastic ProcessesDownload
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20Examples of Classification of Stochastic Processes (contd.)Download
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21Bernoulli ProcessDownload
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22Poisson ProcessDownload
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23Poisson Process (contd.)Download
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24Simple Random Walk and Population ProcessesDownload
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25Introduction to Discrete time Markov ChainDownload
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26Introduction to Discrete time Markov Chain (contd.)Download
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27Examples of Discrete time Markov ChainDownload
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28Examples of Discrete time Markov Chain (contd.)Download
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29Introduction to Chapman-Kolmogorov equationsDownload
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30State Transition Diagram and ExamplesDownload
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31ExamplesDownload
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32Introduction to Classification of States and PeriodicityDownload
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33Closed set of States and Irreducible Markov ChainDownload
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34First Passage time and Mean Recurrence TimeDownload
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35Recurrent State and Transient StateDownload
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36Introduction and example of Classification of statesDownload
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37Example of Classification of state(Contd.)Download
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38Example of Classification of states(Contd.)Download
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39Example of Classification of states (Contd.)Download
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40Introduction and Limiting DistributionDownload
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41Example of Limiting Distribution and ErgodicityDownload
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42Stationary Distribution and ExamplesDownload
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43Examples of Stationary DistributionsDownload
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44Time Reversible Markov Chain and ExamplesDownload
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45Definition of Reducible Markov Chains and Types of Reducible Markov ChainsDownload
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46Stationary Distributions and Types of Reducible Markov chainsDownload
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47Type of Reducible Markov Chains(Contd.)Download
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48Gambler's Ruin ProblemDownload
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49Introduction to Continuous time Markov ChainDownload
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50Waiting time DistributionDownload
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51Chapman-Kolmogorov EquationDownload
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52Infinitesimal Generator MatrixDownload
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53Introduction and Example Of Continuous time Markov ChainDownload
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54Limiting and Stationary DistributionsDownload
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55Time reversible CTMC and Birth Death ProcessDownload
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56Steady State Distributions, Pure Birth Process and Pure Death ProcessDownload
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57Introduction to Poisson ProcessDownload
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58Definition of Poisson ProcessDownload
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59Superposition and Deposition of Poisson ProcessDownload
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60Compound Poisson Process and ExamplesDownload
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61Introduction to Queueing Systems and Kendall NotationsDownload
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62M/M/1 Queueing ModelDownload
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63Little's Law, Distribution of Waiting Time and Response TimeDownload
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64Burke's Theorem and Simulation of M/M/1 queueing ModelDownload
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65M/M/c Queueing ModelDownload
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66M/M/1/N Queueing ModelDownload
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67M/M/c/K Model, M/M/c/c Loss System, M/M/? Self Service SystemDownload
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68Transient Solution of Finite Birth Death Process and Finite Source Markovian Queueing ModelDownload
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69Queueing Networks Characteristics and Types of Queueing NetworksDownload
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70Tandem Queueing NetworksDownload
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71Stationary Distribution and Open Queueing NetworkDownload
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72Jackson's Theorem, Closed Queueing Networks, Gordon and Newell ResultsDownload
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73Wireless Handoff Performance Model and System DescriptionDownload
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74Description of 3G Cellular Networks and Queueing ModelDownload
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75Simulation of Queueing SystemsDownload
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76Definition and Basic Components of Petri Net and Reachability AnalysisDownload
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77Arc Extensions in Petri Net, Stochastic Petri Nets and examplesDownload
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78Generalized Stochastic Petri Net Download
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79Generalized Stochastic Petri Net (contd) Download
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80Conditional Expectation and ExamplesDownload
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81Filtration in Discrete timeDownload
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82Remarks of Conditional Expectation and AdaptabiltyDownload
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83Definition and Examples of Martingale Download
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84Examples of Martingale contd.Download
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85Examples of Martingale (contd.)Download
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86Doob's Martingale Process, Sub martingale and Super Martingale Download
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87Definition of Brownian Motion Download
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88Definition of Brownian Motion (contd.) Download
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89Properties of Brownian MotionDownload
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90Processes Derived from Brownian Motion Download
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91Processes Derived from Brownian Motion (contd.) Download
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92Processes Derived from Brownian Motion contd. Download
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93Stochastic Differential Equations Download
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94Stochastic Differential Equations (contd.) Download
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95Stochastic Differential Equations contd.Download
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96Ito Integrals Download
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97Ito Integrals (contd.)Download
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98Ito Integrals contd. Download
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99Renewal Function and Renewal Equation Download
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100Renewal Function and Renewal Equation (contd.)Download
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101Renewal Function and Renewal Equation contd.Download
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102Generalized Renewal Processes and Renewal Limit Theorems Download
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103Generalized Renewal Processes and Renewal Limit Theorems (contd.) Download
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104Generalized Renewal Processes and Renewal Limit Theorems contd.Download
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105Markov Renewal and Markov Regenerative Processes Download
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106Markov Renewal and Markov Regenerative Processes (contd) Download
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107Markov Renewal and Markov Regenerative Processes contdDownload
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108Markov Renewal and Markov Regenerative Processes (contd.) Download
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109Non Markovian QueuesDownload
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110Non Markovian Queues (contd.) Download
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111Non Markovian Queues contd.Download
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112Stationary ProcessesDownload
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113Stationary Processes (contd.) Download
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114Stationary Processes contd. Download
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115Stationary Processes (contd.) and Ergodicity Download
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116G1/M/1 queue Download
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117G1/M/1 queue (contd.)Download
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118G1/M/1/N queue and examples Download
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119Galton-Watson Process Download
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120Examples and Theorems Download
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121Theorems and Examples (contd.) Download
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122Markov Branching Process Download
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123Markov Branching Process Theorems and Properties Download
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124Markov Branching Process Theorems and Properties (contd.) Download
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125Live SessionPDF unavailable


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