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Fitting Using Finite Monte Carlo Samples

R. Barlow
C. Beeston
Journal / Anthology

Computer Physics Communications
Year: 1993
Volume: 77
Page range: 219-228

Analysis of results from HEP experiments often involves estimation of the composition of a sample of data, based on Monte Carlo simulations of the various sources. Data values (generally of more than one dimension) are binned, and because the numbers of data points in many bins are small, a X2 minimisation is inappropriate, so a maximum likelihood technique using Poisson statistics is often used. This note shows how to incorporate the fact that the Monte Carlo statistics used are finite and thus subject to statistical fluctuations.

*Applied Mathematics > Numerical Methods
*Mathematics > Probability and Statistics