We extend a result due to Zazanis [34] on the analyticity of the expectation of suitable functionals of homogeneous Poisson processes, with respect to the intensity of the process. As our main result, we provide Monte Carlo estimators for the derivatives. We apply our results to stochastic models which are of interest in stochastic geometry and insurance.

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Background: Palladium-103 (103Pd) is a brachytherapy source for cancer treatment. The Monte Carlo codes are usually applied for dose distribution and effect of shieldings. Monte Carlo calculation of dose distribution in water phantom due to a MED3633 103Pd source is presented in this work. Materials and Methods: The dose distribution around the 103Pd Model MED3633 located in the center of 30×...

Models explaining household decisions assume that the member’s bargaining process, although unknown, leads to efficient outcomes. The empirical literature has not been able to reject this hypothesis when tested in several datasets, including those from poor, rich and emerging countries. This paper presents Monte Carlo simulations to show that the methods used for testing are inadequate for two ...

In this article, we present two Monte Carlo methods to solve some problems related to the Darcy law in geophysics. Both methods do not require any discretization and are exact methods.

As the development of smart grid, more and more distributed generations (DGs) are introduced to the distribution networks in the power system. This paper presents a Monte Carlo method for calculating the reliability of the distribution system with DGs. To begin with, the models of DGs and the islanding schemes are discussed. Applying Monte Carlo stimulation, the paper puts forward a new method ...