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Course Contents

UNIT I. Univariate and joint distributions

Univariate Distributions Distributions
2. joint conditional probability
4. marginal and conditional distributions
5. Hope conditional variance conditional
moment generating function
probability generating function

UNIT II. Markov chains

1. Definitions and examples
2. Transition probabilities
3. Transition Matrix
4. states Rating: recurrent, null recurrent, positive recurrent
   , transient, absorbing
5. Analysis first step
6. Recurrence and examples

UNIT III. Poisson processes

Poisson Distribution Poisson Process
3. Act
4. rare events associated with the process Distributions Poisson Distribution
5. uniform Poisson process
6. Poisson process Inference