UPDATE (please check again later) ------ There will be about 8 or 9 questions. The focus may be on the latter half of the course. - estimators - confidence intervals, assumptions, normal random variables, inequalities - know the explicit forms of all probability distributions - random variables, sums of random variables, means, variances, covariances - marginal distributions, joint distributions - models we have discussed in class or studied in hw - transience, steady state, Welch's procedure - variance reduction methods General Information for Final ----------------------------- NOTE: The exam is closed-book, but you are allowed to bring one standard page (8.5x11 ins) of notes. I'll post more info on the final when I have it ready. It will be along the line of the midterm. As mentioned in class, the topics are: -- Early lectures on how to do event-scheduling simulation, how to compute statistics in simulation -- all statistical distributions done in class -- memorylessness, independence, dependence, mean, variance, covariance -- random numbers, independence, exponential random numbers, uniform random numbers -- very simple models (Poisson, simple birth-death, M/M/1 queue) as done in class -- operational analysis -- Burke's Thm -- means, variances, Markov inequality, Chebyshev inequality -- Estimators for mean, variance, unbiasedness -- confidence intervals, types of confidence intervals -- use of normal random variables and t-distribution for confidence intervals -- ways of terminating simulations, stopping conditions, steady-state, Welch's procedure -- effect of correlation on confidence intervals -- covariance, variance-reduction (anthitetic variates, covariate method)