  In this paper, a novel non-parametric method for estimation of expectation
and maximum value of the variance function is proposed for recurrent events
where intensity of event occurrence changes with the occurrence of each higher
order event. These kinds of recurrent events are often observed in clinical
trials for cardio-vascular events and also in many social experiments involving
drug addiction, armed robberies, etc. Simulated data is used to demonstrate the
novel approach for estimating the mean and variance of such recurrent events
and the results are compared with the result of Nelson Aalen estimator.
