平均链取代法

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摘要

本文介绍了为适应金融经济分析的需要而发展起来的通用而精确的决定因素分析方法的本质和方法论。平均链取代法是对链取代法的改进,是决定因素分析中最基本、最常用的方法。链置换的平均法消除了链置换法唯一显著的缺点,即在因子链构建过程中,在改变因子变量置换顺序的同时,在定量测量各参与因子变量对结果指标变化的个别影响时,所得结果存在歧义(不准确)。介绍了发展的平均链取代法的方法。通过金融和经济分析中最常用的结果指标与参与因素变量之间的依赖关系,导出了用于定量确定单个因素对结果指标变化的影响的数学表达式。所提供的方法也可以应用于定义结果指标和参与因素变量之间关系的更复杂的数学依赖关系。同样,它也适用于广泛的经济和非经济指标的研究。
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Averaged Chain Substitution Method
The article presents the essence and methodology of the universal and precise method of determinant factor analysis developed for the needs of financial and economic analysis. The averaged chain substitution method is a modification of the chain substitution method, which is the fundamental and most commonly used method of determinant factor analysis. The averaged method of chain substitutions eliminates the only significant disadvantage of the chain substitution method, namely the ambiguity (non-accuracy) of the results obtained thereby regarding the quantitative measurement of the individual influence which the participating factor variables exert on the variation of the result indicator while changing the order of the substitution of factor variables in the construction of the factor chains. The methodology of the developed average chain substitution method is presented. Mathematical expressions are derived for the quantitative determination of the individual factor influences over the variation of the result indicator with those dependences between result indicator and participating factor variables that are most commonly used in financial and economic analysis. The methodology of the offered method can also be applied to more complex mathematical dependencies that define the relationship between result indicator and participating factor variables. Similarly, it is applicable in the study of a wide range of economic and non-economic indicators.
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