Abstract As is known, all geo-logarithmic indices enjoy the axiomatic properties of being proportional, commensurable and homogeneous, together with their cofactors (Martini 1992a). Geologarithmic price indices satisfying the axioms of monotonicity, basis reversibility and factor reversibility have been investigated by Marco Fattore (2010), who has shown that the superlative Fisher price index does not belong to this family of indices. In this article, we discuss geo-logarithmic price indices with reference to the Laspeyres-Paasche bounding test and we propose a modification of the considered index family that satisfies this test. We also modify the structure of geo-logarithmic indices by using an additional parameter and, following the economic approach, we list superlative price index formulas that are members of the considered price index family. We obtain a special subfamily that approximates superlative price indices and includes the Fisher, Walsh and Sato-Vartia price indices.

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关于对数价格指数的评论

摘要众所周知，所有对数指数及其辅助因子都具有成比例，可衡量和同质的公理特性（Martini 1992a）。Marco Fattore（2010）对满足单调性，基础可逆性和因子可逆性的地对数价格指数进行了研究，他发现最高级的Fisher指数不属于该指数家族。在本文中，我们将参考Laspeyres-Paasche边界检验讨论对数价格指数，并提出对满足该检验要求的所考虑指数族的修改。我们还通过使用其他参数来修改对数索引的结构，并遵循经济方法，我们列出了属于所考虑的价格指数族的最高级价格指数公式。我们获得一个特殊的子族，该子族近似最高级的价格指数，其中包括Fisher，Walsh和Sato-Vartia的价格指数。