On the pulse-width statistics in radio pulsars

We perform Monte Carlo simulations of pulsar periods, pulse-widths and magnetic inclination angles. Using the available observational data sets we study possible parent distribution functions by means of the Kolmogorov-Smirnov significance tests. We also use an additional condition that the numbers of generated interpulses, whether from both magnetic poles or from a single pole, are at the observed levels. We derived a model distribution function of magnetic inclination angles which has a local maximum near alpha = 25degrees and another weaker one near alpha = 90degrees. The gamma function is a plausible distribution function describing pulsar periods. The average beaming fraction describing the fraction of observable radio pulsars is about 0.12.