Generation of Stochastic Point Processes

確率点過程の生成について

Generation of Stochastic Point Processes

Creators Hirata Takehiko

Several methods for generating stochastic point processes have been reported so far. This paper describes a method for generating them by modulating stochastically (or, sampling with the time variant probability) the intervals between events which distribution is known. This notion is based on the variable probability (or, the probability modulation) which principle is different from above reports. The form of the probability density function for the distribution of intervals generated by this method is considerably unrestricted, ranging from the 0 th order Markov process to the higher order Markov process. It is also possible to apply this thinking of the method to hardware and realize the point processes. As regards the field of application of the stochastic point processes generated by this method, the simulation of the pulse sequences flowing in the nervous system, the queueing systems, the reliability engineering, etc. are considered.

[ISSN]0372-7661

[NCID]AN00244228