Title of article :
Counting statistics distorted by two dead times in series which end with an extended type dead time
Choi، نويسنده , , H.D.، نويسنده ,
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.
Dead time , Nuclear counting , Counting statistics
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