Review of fundamental rules of probability and distributions, Stochastic Processes, Monte Carlo Methods, Poisson and Exponential processes, Birth-Death Process, Markov chains. Topics in Queuing Theory: Simple Markovian queuing models, Finite population models, Network of queues: Burke theorem, Jackson theorem. Topics in statistical inference, Sampling Theory, Estimation Theory: Point Estimate, Interval Estimate, confidence Interval, Maximum Likelihood Estimation, Minimum Mean Squared Error Estimation , Curve Fitting and Linear Regression, Hypothesis Testing: Test of Means, Test of Variances, Bernoulli Tests, Nonparametric Tests.
