Monte Carlo methods

7.5 credits

The course contains:

•General generation of one-dimensional random numbers, discrete and continuous: the inverse method, the acceptance-rejection technique, the compositon approach

•Generating specific one-dimensional random numbers: normal random numbers by the polar method, Poisson random variables, binomial random variables

•Generation of Poisson processes: homogenous and nonhomogenous, one-dimensional and two-dimensional

•Generation of multidimensional normal random numbers

•Generation of variables from copula models

•Variancereductiontechniques:useantitheticvariablesandcontrolvari- ates, conditioning, stratigic sampling, non-normalized and normalized importance sampling, latin hypercube sampling

•Statistical analysis of simulated data: the sample mean and sample variance, interval estimates of a population mean, bootstrapping technique for estimating mean square errors

•Statistical validation techniques: goodness of fit tests

Växjö

Växjö is a modern city with more than 80,000 inhabitants. The city has been declared "the Greenest City in Europe" because of its focus on environmentally sound solutions and the environmental programs implemented.

Being a student in Växjö you have easy access to everything – the city centre, the woods and the lakes. The pedestrian path from campus around Lake Växjösjön reaches almost all the way to the city centre and is perfect for jogging or taking long walks.

Campus Växjö is modeled along the lines of an American campus university and is the natural meeting place for students in Växjö. Campus is always bustling with life, and students move between lecture rooms, the University Library and the restaurants, pubs and outdoor recreational areas.

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