| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 1828594 | Nuclear Instruments and Methods in Physics Research Section A: Accelerators, Spectrometers, Detectors and Associated Equipment | 2009 | 9 Pages |
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.
