Monte Carlo Simulation Algorithms Assignment Writing help

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Topics for Monte Carlo Simulation

• need for Monte Carlo Techniques, Basic Simulation Principles, Rejection method, variance reduction, importance sampling, Markov chain theory, convergence of Markov chains, detailed balance, limit theorems, Basic MCMC algorithms, Metropolis-Hastings algorithm, Gibbs sampling, Burn In issues, Convergence diagnostics, Monte Carlo error
• Auxiliary variable method, simulated tempering, parallel tempering, simulated annealing, reversible jump MCMC, EM algorithm, simulation , Monte Carlo simulation, simulation for the analysis of systems, Modeling randomness, Random variables, probability distributions, random vectors , joint distributions, random processes, Simulating random numbers, random variate generation
• random number generation, Inverse transform , Acceptance Rejection algorithms, statistical estimation, Law of Large Numbers , Central Limit Theorem, confidence intervals, Monte Carlo examples, comparing systems, Discrete-Event Systems , Simulation, Event driven systems, Discrete Event models, event scheduling simulation, data structures, Input modeling, data for input modeling
• fitting theoretical distributions, goodness of fit tests, Performance improvement , long term performance criteria, steady state simulation, sensitivity estimation, comparing multiple systems , system optimization, Design of Experiments, Factor screening, design matrix, analysis of variance, response surface optimization, Variance Reduction Techniques, Importance sampling, control variate, stratification