Showing papers in "Australian & New Zealand Journal of Statistics in 1964"

The displaced poisson distribution

Abstract: Summary Consideration of the number of events in a Poisson process in excess of a threshold value r, when it is assumed that at least r events do occur, leads to the Displaced Poisson Distribution. The recurrence relationship between successive probabilities is a simple generalization of that of the Poisson distribution. Accordingly the fitting of the distribution to data is straightforward, using either a desk machine or computer. It is a highly flexible unimodal distribution catering for both under- and over-dispersed data and generally fits Poisson type data well. Its properties have been discussed, moment and maximum likelihood estimators for the cases, r known and unknown have been given, together with several numerical examples.