Discharge patterns from the Lateral Superior Olive of the cat are analyzed using point process methods. An intensity description is developed for responses to continuous tone and tone burst stimuli. The statistics of each process are described using the intervals between events in the response. We find that a first order Markovian model is sufficient to describe the observed serial dependence of the inter-spike intervals. In our model, the duration of the absolute dead time of one interval is inversely related to the duration of the previous interval. Superposition of renewal processes with a dead time implemented is shown to lack the necessary serial dependence which would qualify it as a potential model for LSO discharge patterns. Using our model, the early, non-stationary portion of tone burst responses is predicted based on the statistics of the later, stationary portion.