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Divisia price and quantity indices: 80 years after

机译：Divisia价格和数量指数：80年后

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摘要

This paper reviews and extends the theory of price and quantity indices which are defined as line integrals, the two types being those of Divisia and Montgomery. The properties of these indices are systematically explored, whereby in particular attention is paid to the path-(in)dependency issue. Two sections discuss the problem of how to approximate the line integral indices when only data at discrete points of time are available. It appears that every bilateral index can be conceived as the outcome of a line integral index over a particular curve in price-quantity space. The classical position is that chained bilateral indices are rationalized by Divisia indices. This rationalization is only interesting when the Divisia indices themselves possess a proper foundation in economic theory. The final sections are therefore devoted to the role played by the Divisia indices in micro-economic theory.
机译：本文回顾并扩展了被定义为线积分的价格和数量指数的理论，这两种类型是Divisia和Montgomery。对这些指标的属性进行了系统地研究，从而特别注意了路径依赖性问题。两个部分讨论了只有离散时间点的数据可用时，如何近似线积分指数的问题。似乎每个双边指数都可以看作是价格量空间中特定曲线上的线积分指数的结果。经典立场是，链式双边指数由Divisia指数合理化。仅当Divisia指数本身具有经济理论基础时，这种合理化才有意义。因此，最后几节专门讨论Divisia指数在微观经济理论中的作用。

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