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2013

Statistics of weighted Poisson events and its applications

Bohm, G., Zech, G.

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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).

Statistics of weighted Poisson events and its applications · Around

Built on

M.G. Kendall and A. Stuart, The Advanced Theory of Statistics , Charles Griffin & Co., London, Ed. 4 (1948)
1948
Earlier work this paper cites.
B. Efron and R.T. Tibshirani, An Introduction to the Bootstrap , Chapman& Hall, London (1993)
1993
Earlier work this paper cites.

Similar

G.J. Babu et al., Second-order correctness of the Poisson bootstrap , The Annals of Statistics Vol 27, No. 5 (1999) 1666
1999
Cited alongside, same era.
E.W. Weisstein, Edgeworth Series , http://mathworld.wolfram.com; en.wikipedia.org/wiki/Edgeworth_series
Cited in the paper.

Then

G. Bohm and G. Zech, Comparing statististical data to Monte Carlo simulation with weighted events , Nucl. Instr. and Meth A691 (2012) 171
2012
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