in the present work‎, ‎a new stochastic algorithm is proposed to solve multiple dimensional fredholm integral equations of the second kind‎. ‎the solution of the‎ integral equation is described by the neumann series expansion‎. ‎each term of this expansion can be considered as an expectation which is approximated by a continuous markov chain monte carlo method‎. ‎an algorithm is proposed to sim...

i131 is a famous radio-iodine isotope in use for diagnosis and treatment of hyper functioning and cancerous thyroid gland. it is a nuclear reactor product; however nuclear reactor may be unavailable in some areas. replacement by i-124 may be possible, another iodine isotope producible by cyclotron; a system more available than reactor. here absorbed fraction of gamma and beta rays of i-124 thro...

In this paper, we deal with the pricing of power options when the dynamics of the risky underling asset follows the double stochastic volatility with double jump model. We prove efficiency of our considered model by fast Fourier transform method, Monte Carlo simulation and numerical results using power call options i.e. Monte Carlo simulation and numerical results show that the fast Fourier tra...

in restructured power systems and in a wholesale power market, a distribution company as a market player intends to maximize its profit by utilizing its options. hence determining an optimal energy acquisition strategy for a distribution company is vital, for attaining to this goal. however an important challenge for determining these strategies is forecasting other competitors and generation c...

monte carlo methods designed base on stochastic reiterations and can be useful in uncertainty conditions. the purpose of this research was investigation of uncertainty to rank desertification indicators. in order to decrease uncertainty have been applied monte carlo reiterations for each value of indicator, if rank of xi is higher than rank of xk constantly. using multi dimension integrals the ...

This article reports on the contents of a tutorial session at MCQMC 2008. The tutorial explored various places in statistics where Monte Carlo methods can be used. There was a special emphasis on areas where Quasi-Monte Carlo ideas have been or could be applied, as well as areas that look like they need more research.