基于指数分布的随机投入产出模型

Random Input-output Model Based on Exponential Distribution

在现实的社会经济系统中,由于社会经济活动具有多变性和随机性,用确定性变量来描述多变但又有一定规律性的社会经济活动是不符合实际的,为此,运用随机变量分布理论研究随机投入产出模型具有一定的现实意义。在假定最终需求为服从指数分布的随机变量的情形下,利用统计学中的独立随机变量和分布理论,导出了给定可靠性下产出量所满足的控制方程,并给出了相应证明。

In the social economic system, it is not feasible to describe the regular but changing socio-economic phenomena with certainty variables because of the complexity, variability and randomness of socio-economic activities. Therefore, it is of practical significance to formulate random input-output model by using random-variable-sum theory. Suppose that the final demand is a random variable with exponential distribution, the equations of output based on given reliability can be derived using the distribution theory of the sum of the independent random variables.