Abstract: We construct and
investigate consistent estimators of the distribution function and the density
of waiting time of a cyclic Poisson process with linear trend. We do not assume
any particular parametric form for the cyclic component of the intensity
function. Moreover, we consider the situation when only a single realization of
the Poisson process is observed in a bounded interval We
prove that the proposed estimators are consistent as
Keywords and phrases: Poisson process, cyclic intensity function, linear trend, distribution function, density function, consistency.
