English

Practical Guide to Monte Carlo

Computational Physics 2007-05-23 v1 Astrophysics High Energy Physics - Phenomenology Data Analysis, Statistics and Probability

Abstract

I show how to construct Monte Carlo algorithms (programs), prove that they are correct and document them. Complicated algorithms are build using a handful of elementary methods. This construction process is transparently illustrated using graphical representation in which complicated graphs consist of only several elementary building blocks. In particular I discuss the equivalent algorithms, that is different MC algorithms, with different arrangements of the elementary building blocks, which generate the same final probability distribution. I also show how to transform a given MC algorithm into another equivalent one and discuss advantages of the various ``architectures''.

Keywords

Cite

@article{arxiv.physics/9906056,
  title  = {Practical Guide to Monte Carlo},
  author = {S. Jadach},
  journal= {arXiv preprint arXiv:physics/9906056},
  year   = {2007}
}