随机投入产出模型研究

Study on stochastic input-output models

研究基于给定可靠性下产出量的控制方程.在随机投入产出方程中,当直接消耗系数和最终需求为指数型随机变量时,方程中随机变量分布中参数间的关系有3种基本情况:所有参数都相等、所有参数两两不相等、有部分相等而其余则两两不相等.实际上,前2种情况是第3种情况的特殊形式.运用独立随机变量和的分布理论,基于直接消耗系数和最终需求分布参数间的第3种关系,导出了随机投入产出模型中产出量所满足的方程.

The aim of the study is to derive the control equation for the output of the stochastic input-output model under a given reliability. In the formulas of stochastic input and output, when the coefficient of direct consumption and final demand are exponentially distributed, the interrelationship between parameters of stochastic variables can be divided into three types: all the parameters are the same; parameters are inequivalent to each other; some of the parameters are the same, but the rest are inequivalent to each other. Based on the third relationship between the coefficient of direct consumption and distribution parameters of final demand, deterministic equivalent equations for the input-output model were derived.