ABSTRACT

Point processes are random processes which produce random collections of point oc- currences, or series of events, usually along the time axis. In univariate point process analysis, the exact shape of the event is of no interest. Point processes can be viewed as a special case of general random processes and can be dealt with as a type of time series. Point processes analysis has been applied to a variety of applications ranging from the analysis of radioactive emission to road traffic studies and to queuing and inventory control problems. Multivariate point processes analysis is sometimes required when the spike train contains action potentials from more than one neuron. The occurrence of glottal pulses during voiced segments of speech can be analyzed as a point process. The motivation for modeling the point process is mainly to represent the event generating process in a concise parametric form.