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