Расчет среднего пробега электронов в полимерном композите методом Монте-Карло
The paper suggests an original credit-risk based model for deposit insurance fund adequacy assessment. The fund is treated as a portfolio of contingent liabilities to the insured deposit-holders. The fund adequacy assessment problem is treated as an economic capital adequacy problem. Implied credit rating is used as the target indicator of solvency. This approach is consistent with the contemporary risk management paradigm and the recommendations of the Basel II Capital Accord. The target level of the fund corresponding to the target solvency standard is estimated in a Monte Carlo simulation framework using the actual data on the Russian banking system covering 1998-2005. Author acknowledges the generous support and fruitful discussions with representatives of the Russian Deposit Insurance Agency. The author expresses his personal views and not the views of the Agency.
In this paper we present a novel approach towards variance reduction for discretised diffusion processes. The proposed approach involves specially constructed control variates and allows for a significant reduction in the variance for the terminal functionals. In this way the complexity order of the standard Monte Carlo algorithm (ε−3) can be reduced down to ε−2 log(ε−1) in case of the Euler scheme with ε being the precision to be achieved. These theoretical results are illustrated by several numerical examples.
In the given paper the aggregated randomized indices method is modified for credit scoring. Coefficients of the modified method can be calibrated on a massive training set in comparison with a standard version. Different credit scoring models are analyzed, i.e. with a binary scale and a continuous one. The Monte Carlo method is applied to measure the efficiency of models.
We observe the self-assembling of the dipolar hard sphere particles at low temperature by Monte Carlo simulation. We find different types of stable structures of dipolar particles which appear when the isotropic phase of the system becomes unstable. Specifically, we find an interesting case of parallel cylindrical domains. The value of the total dipole moment of each domain is significantly large compared to the average value of the whole system. Models with dipolar interactions may form structures comprised of layers with anti-parallel dipole orientation.