Monte Carlo simulation has become one of the most important tools in all fields of science. Simulation methodology relies on a good source of numbers that appear to be random. These "pseudorandom" numbers must pass statistical tests just as random s
Canonical Monte Carlo simulations of disordered systems like spin glasses and systems undergoing rst-order phase transitions are severely hampered by rare event states which lead to exponentially diverging autocorrelation times with increasing syste
The group sampling method is applied to power system reliability evaluation for the first time and combined with self-adapting important sampling algorithm, one new method is presented which has broad applicability due to need of a spot of system in
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n a family study of breast cancer, epidemiologists in Southern California increase the power for detecting a gene-environment interaction. In Gambia, a study helps a vaccination program reduce the incidence of Hepatitis B carriage. Archaeologists in
The normal inverse Gaussian process has been used to model both stock returns and interest rate processes. Although several numerical methods are available to compute, for instance, VaR and derivatives values, these are in a relatively undeveloped s