Journal
NUCLEAR INSTRUMENTS & METHODS IN PHYSICS RESEARCH SECTION A-ACCELERATORS SPECTROMETERS DETECTORS AND ASSOCIATED EQUIPMENT
Volume 599, Issue 2-3, Pages 251-259Publisher
ELSEVIER SCIENCE BV
DOI: 10.1016/j.nima.2008.11.003
Keywords
Nuclear counting; Counting statistics; Dead time
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The distorted counting statistics resulting from two dead times occurring in series are discussed. The cases studied are those of series combinations of non-extended-extended (NE-E) dead times and of extended-extended (E-E) dead times under a Poisson input distribution. Three choices of time origin of the counting processes are considered, leading to the distinct statistics of three distinct processes-ordinary, equilibrium, and shifted processes. A set of formulae is presented for the event interval densities, corresponding Laplace transformations, the expected number and variance of counts in a given duration and the associated asymptotic expressions. Results are validated by comparison with previously published Monte Carlo simulations and checking the mathematical expressions in certain reduction limits. A possible application of the derived formulae is discussed. (c) 2008 Elsevier B.V. All rights reserved.
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