Experimental Techniques in High-Energy Nuclear and Particle Physics 1991
DOI: 10.1142/9789814355988_0012
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Monte Carlo theory and practice

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Cited by 71 publications
(108 citation statements)
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“…In the case addressed by this paper, the distribution of the real events is the sum of contributions of N different processes, and the predictions for each of these processes are given in terms of a distribution of Monte Carlo events [2]. Let rnij be the number of Monte Carlo entries generated for process i in bin j.…”
Section: Predictions Given By Monte Carlo Distributionsmentioning
confidence: 99%
“…In the case addressed by this paper, the distribution of the real events is the sum of contributions of N different processes, and the predictions for each of these processes are given in terms of a distribution of Monte Carlo events [2]. Let rnij be the number of Monte Carlo entries generated for process i in bin j.…”
Section: Predictions Given By Monte Carlo Distributionsmentioning
confidence: 99%
“…where x is a multidimensional variable of dimension M:c (large), f( x) is a function of the variable x that can be expressed in closed form, 1 and pM 0 (x) is a function of x that can be simulated by a distribution of points generated by Monte Carlo. The distribution pM 0 (x) may not be expressed in closed form but a Monte Carlo algorithm exists that generates points k of coordinates ek with a probability pM 0 (x)dx for each point k to fall in the 1 In this context, "closed form" means the possibility for an expression to be calculated to the computer accuracy in a few machine cycles, i.e., in a time negligible with respect to the time needed to compute integrals numerically.…”
Section: Generalities About Monte Carlo Integralsmentioning
confidence: 99%
“…The distribution pM 0 (x) may not be expressed in closed form but a Monte Carlo algorithm exists that generates points k of coordinates ek with a probability pM 0 (x)dx for each point k to fall in the 1 In this context, "closed form" means the possibility for an expression to be calculated to the computer accuracy in a few machine cycles, i.e., in a time negligible with respect to the time needed to compute integrals numerically. Note that limits of integrations have not been spelled out in Eqs.…”
Section: Generalities About Monte Carlo Integralsmentioning
confidence: 99%
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“…In probabilistic methods, uncertainty in the parameters is considered and is represented by a random variable or field. Among the different probabilistic methods in mechanics, direct Monte Carlo simulation, which involves sampling and estimation, is an example for a frequently used statistical approach [6,7,8]. There are also many no statistical methods in probabilistic mechanics.…”
Section: Introductionmentioning
confidence: 99%