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References (2)
-
F. Haight (1967)
Handbook of the Poisson Distribution -
J. Henn, K. Meindl (2010)
Is there a fundamental upper limit for the significance I/σ(I) of observations from X-ray and neutron diffraction experiments?Acta crystallographica. Section A, Foundations of crystallography, 66 Pt 6
- Publisher
- Wiley
- Copyright
- Copyright © 2012 Wiley Subscription Services, Inc., A Wiley Company
- ISSN
- 0108-7673
- eISSN
- 1600-5724
- DOI
- 10.1107/S010876731203200X
- pmid
- 23075612
- Publisher site
- See Article on Publisher Site
Abstract
It is shown that expectation values of Poisson‐distributed random numbers exist not only for the well known positive integer powers but also for negative integer powers. A recursion formula for the calculation of expectation values of powers differing by one is given. This recursion formula helps to find an analytical representation for both positive and negative integer powers in terms of the hypergeometric function.
Journal
Acta Crystallographica Section A Foundations of Crystallography – Wiley
Published: Jan 1, 2012
Keywords: ; ; ;