Abstract
A new description of the registration of events by a counter with a dead time based on a nonclassical, quasi-binomial distribution is proposed. A description of the type of dead time via the continuous parameter y is introduced. It is shown based on this approach that the distribution of events registered by an non-extendable counter (y = 1) can be described by a generalized Poisson distribution. It is shown for various types of counters that the distribution of registered events will be indistinguishable from a generalized Poisson distribution if the number of measurements is ≲ 106. Formulas that can be used to determine the initial flux of events from the detected flux and vice versa are derived. The behavior of the non-Poisson coefficient as a function of the non-linearity is discussed. All the analytical results obtained are tested using numerical simulations.
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