2015RePEc: Research Papers in EconomicsOpen access

Nonparametric bounds on equivalence scales

Christian Dudel

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Abstract

Methods for estimating equivalence scales usually rely on rather strong identifying assumptions. This note considers nonparametric bounds on equivalence scales derived from the potential outcomes framework and uses nonparametric methods for estimation, which requires only mild assumptions. The method yields only lower and upper bounds of equivalence scales rather than point estimates. The results of an analysis using German expenditure data show that the range implied by these bounds is rather wide.

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What this paper is about

Methods for estimating equivalence scales usually rely on rather strong identifying assumptions. This note considers nonparametric bounds on equivalence scales derived from the potential outcomes framework and uses nonparametric methods for estimation, which requires only mild assumptions. The method yields only lower and upper bounds of equivalence scales rather than point estimates. The results of an analysis using German expenditure data show that the range implied by these bounds is rather wide.

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Available abstract

Methods for estimating equivalence scales usually rely on rather strong identifying assumptions. This note considers nonparametric bounds on equivalence scales derived from the potential outcomes framework and uses nonparametric methods for estimation, which requires only mild assumptions. The method yields only lower and upper bounds of equivalence scales rather than point estimates. The results of an analysis using German expenditure data show that the range implied by these bounds is rather wide.

Key concepts: Nonparametric statistics, Equivalence (formal languages), Mathematics, Point estimation, Econometrics, Upper and lower bounds, Range (aeronautics), Applied mathematics

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