Normalizing transformations for dead-time-modified Poisson counting distributions

Abstract

Approximate normalizing transformations are derived for Poisson counting systems affected by nonparalyzable and paralyzable dead time. In the nonparalyzable case the transformation takes the form of a simple inverse hyperbolic function whereas in the paralyzable case it is an inverse trigonometric function. The results are expected to find use in neural counting, photon counting, and nuclear counting, as well as in queuing theory. © 1985 Springer-Verlag.