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Radiation Protection Dosimetry Advance Access originally published online on October 19, 2007
Radiation Protection Dosimetry 2008 128(4):437-443; doi:10.1093/rpd/ncm432
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© The Author 2007. Published by Oxford University Press. All rights reserved. For Permissions, please email: journals.permissions@oxfordjournals.org

Confidence limits for Neyman type A-distributed events

Josselin Morand1,5,6,*, Joanna Deperas-Standylo2,3, Witold Urbanik4, Raymond Moss1, Sabet Hachem5, Wolfgang Sauerwein6 and Andrzej Wojcik1,2,7

1 Institute for Energy—JRC, European Commission, Postbus 2, 1755 ZG, Petten, The Netherlands
2 Laboratory of Information Technology, Joint Institute for Nuclear Research, Dubna, Russia
3 Department of Radiation Biology and Health Protection, Institute of Nuclear Chemistry and Technology, Warszawa, Poland
4 Economic University, Wroclaw, Poland
5 Faculté des Sciences, Université de Nice Sophia Antipolis, Nice, France
6 University Hospital Essen, Germany
7 Department of Radiation Biology and Immunology, Swietokrzyska Academy, Kielce, Poland

* Corresponding author: josselin.morand{at}jrc.nl

Received April 18, 2007, amended July 23, 2007, accepted August 16, 2007

The Neyman type A distribution, a generalised, ‘contagious’ Poisson distribution, finds application in a number of disciplines such as biology, physics and economy. In radiation biology, it best describes the distribution of chromosomal aberrations in cells that were exposed to neutrons, alpha radiations or heavy ions. Intriguingly, no method has been developed for the calculation of confidence limits (CLs) of Neyman type A-distributed events. Here, an algorithm to calculate the 95% CL of Neyman type A-distributed events is presented. Although it has been developed in response to the requirements of radiation biology, it can find application in other fields of research. The algorithm has been implemented in a PC-based computer program that can be downloaded, free of charge, from www.pu.kielce.pl/ibiol/neta.


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