强激光与粒子束, 2004, 16 (6): 777, 网络出版: 2006-05-15
基于D-S理论的中子测试数据统计
Statistics of neutrons data based on Dempster-Shafer theory
摘要
针对由于样本数量、测量误差和动态特性等因素,致使采用概率统计方法来对中子发生器的中子测试数据进行统计存在许多局限性和不合理性,讨论了D-S理论中的基本分配、信任函数、上下概率等概念,利用该理论对中子发生器的中子测量数据进行处理统计,最终得到中子产额在一定置信区间内概率分布上、下限值和平均中子产额.与传统的概率统计方法相比,该统计方法能适用于非精确性数据,且不受样本大小的限制.
Abstract
Because of limited sample numbers, imprecise data and dynamic error, statistical method based on probability theory has some shortage in neutrons data processing. Based on Dempster-Shafer (D-S) theory, a method of statistics of neutrons data is described. Appling the basic assign, belief function and plausible function, the lower and upper probability for neutrons randomly distribute to some sets was presented, so was the average neutrons number. The new method of statistics is especially suitable for imprecise data and not restricted by sample numbers.
肖明珠, 余松森, 陈光(礻禹). 基于D-S理论的中子测试数据统计[J]. 强激光与粒子束, 2004, 16(6): 777. XIAO Ming-zhu, YU Song-sen, CHEN Guang-ju. Statistics of neutrons data based on Dempster-Shafer theory[J]. High Power Laser and Particle Beams, 2004, 16(6): 777.