Counting detector systems are increasingly used in X-ray experiments becaus
e of their attractive properties as regards linearity, large dynamic range
and simple noise properties. In synchrotron radiation source (SRS) applicat
ions of X-ray detectors, counting rates are generally high enough to requir
e dead-time correction. The time structure of an SRS beam interacts with th
e dead-time characteristics of the detector in a way that the simple stocha
stic dead-time models cannot always handle. This report generates analytica
l and Monte Carlo mathematical models which describe the rate performance o
f any given detector system when used with the typical beam structures enco
untered in an SRS.