Martini Indices, Fisher Indices, and Consistency-in-Aggregation

In this article we consider the price and quantity indices introduced in the nineties by the Italian statistician Marco Martini (1944–2002). It turns out that Fisher indices can be considered as members of the infinite set of Martini indices. In particular attention is paid to the question to what extent these indices exhibit Consistency-in-Aggregation. This throws new light on the behavior of Fisher indices.

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Publication Details

Journal
Journal of Official Statistics
Published
2024-11-12
DOI
https://doi.org/10.1177/0282423x241284892
Primary Topic
Advanced Statistical Methods and Models
Type
article
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article

Martini Indices, Fisher Indices, and Consistency-in-Aggregation

Bert M. Balk
Journal of Official Statistics
Advanced Statistical Methods and Models
article

Martini Indices, Fisher Indices, and Consistency-in-Aggregation

Bert M. Balk
article en

Abstract

In this article we consider the price and quantity indices introduced in the nineties by the Italian statistician Marco Martini (1944–2002). It turns out that Fisher indices can be considered as members of the infinite set of Martini indices. In particular attention is paid to the question to what extent these indices exhibit Consistency-in-Aggregation. This throws new light on the behavior of Fisher indices.

Journal of Official Statistics
Erasmus University Rotterdam (NL)
Openalex Percentile: Top 79%
Advanced Statistical Methods and Models
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Martini Indices, Fisher Indices, and Consistency-in-Aggregation — Bert M. Balk · Journal of Official Statistics (2024) | TGRS Research Map | TGRS