The temporal distribution of decay events recorded by a gamma camera i
n 'list mode' differs from the Poisson distribution because of dead-ti
me effects. We propose a new model for the dead-time behaviour of a ga
mma camera. The most important feature of our model is that the loss o
f events occurs in pairs or higher multiples due to the so-called 'pil
e-up' effect. We analyse the consequences of pile-up for the temporal
distribution of events recorded by a gamma camera. The probability dis
tribution for the time intervals between events recorded by the camera
is calculated from first principles. We construct estimators for the
parameter of the new distribution. We distinguish between the estimati
on of the total count tate and the estimation of a certain subset of t
he total count rate. Computer simulation confirms that our estimators
are less influenced by dead-time effects than the standard estimator.