参变随机过程与重随机参变过程的若干应用

SOME APPLICATIONS OF PARAMETRIC RANDOM PROCESSES AND DOUBLY RANDOM PARAMETRIC PROCESSES

参变随机过程(见[4]、[6],简记为 PRP)是通常随机过程及多指标过程概念的推广,而重随机参变过程(见[5],简记为 DRPP)则包含随机环境中的随机过程(RWIRE,见[1]、[2])以及随机对策为其特例,PRP 与 DRPP 理论是针对广泛的实际背景提出的,虽然还不成熟,但已可找到若干应用.本文将对此作概略的初步探讨.§1先对 PRP、DRPP 以及估量概率的概念作简单介绍;§2—§6分别概述 PRP 与 DRPP 在竞赛模型与随机对策、体育竞赛的现场指导、仿型预测与控制、选材模型等优化问题方面的应用。§7简述 PRP 与 DRPP 观点下的 RWIRE、Bayes 估计以及气象预报的某些方法.

This paper does initial research for some applications of parametric random processes(PRP)and doubly random parametric processes(DRPP).There mainly are the competitionmodel and its special case random games;the applications of PRP in spot derecting of sportscompetitions and training;The imitating-type f(?)recasting and control method;and the selectingmaterial model.Makes some brief-discussion about problems of RWIRE,Bayes estimation,andweather forcasts etc.