Journal
NUCLEAR INSTRUMENTS & METHODS IN PHYSICS RESEARCH SECTION A-ACCELERATORS SPECTROMETERS DETECTORS AND ASSOCIATED EQUIPMENT
Volume 748, Issue -, Pages 1-6Publisher
ELSEVIER SCIENCE BV
DOI: 10.1016/j.nima.2014.02.021
Keywords
Weighted events; Compound Poisson distribution; Poisson bootstrap; Least square fit; Parameter estimation; Confidence limits
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The statistics of the sum of random weights where the number of weights is Poisson distributed has important applications in nuclear physics, particle physics and astrophysics. Events are frequently weighted according to their acceptance or relevance to a certain type of reaction. The sum is described by the compound Poisson distribution (CPD) which is shortly reviewed, It is shown that the CPD can be approximated by a scaled Poisson distribution (SPD). The SPD is applied to parameter estimation in situations where the data are distorted by resolution effects, It performs considerably better than the normal approximation that is usually used A special Poisson bootstrap technique is presented which permits to derive confidence limits for observations following the CPD. (C) 2014 Elsevier B.V. All rights reserved
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