Admissible Clustering of Aggregator Components: A Necessary and Sufficient Stochastic Semi-Nonparametric Test for Weak Separability

William Barnett () and Philippe de Peretti
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Philippe de Peretti: Universite de la Sorbonne

No 200904, WORKING PAPERS SERIES IN THEORETICAL AND APPLIED ECONOMICS from University of Kansas, Department of Economics

Abstract: In aggregation theory, the admissibility condition for clustering together components to be aggregated is blockwise weak separability, which also is the condition needed to separate out sectors of the economy. Although weak separability is thereby of central importance in aggregation and index number theory and in econometrics, prior attempts to produce statistical tests of weak separability have performed poorly in Monte Carlo studies. This paper deals with semi- nonparametric tests for weak separability. It introduces both a necessary and su¢ cient test, and a fully stochastic procedure allowing to take into account measurement error. Simulations show that the test performs well, even for large measurement errors.

Keywords: weak separability; quantity aggregation; clustering; sectors; index number theory; semi-nonparametrics (search for similar items in EconPapers)
JEL-codes: C12 C14 C43 D12 (search for similar items in EconPapers)
New Economics Papers: this item is included in nep-ecm and nep-ore
Date: 2009-01, Revised 2009-01
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Related works:
Working Paper: Admissible clustering of aggregator components: a necessary and sufficient stochastic semi-nonparametric test for weak separability (2008)
Journal Article: ADMISSIBLE CLUSTERING OF AGGREGATOR COMPONENTS: A NECESSARY AND SUFFICIENT STOCHASTIC SEMINONPARAMETRIC TEST FOR WEAK SEPARABILITY (2009)
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Persistent link: http://EconPapers.repec.org/RePEc:kan:wpaper:200904

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