Abstract
The theoretical contributions to a “good” taxation have put the attention on the relations between the efficiency and the vertical equity without considering the “horizontal equity” notion: only recently, measures connected to equity (iniquity) of a taxation have been introduced in literature. The taxation problem is limited to the study of two quantitative characters: however the concordance problem can be extended in a more general context as we present in the following sections. In particular, the aim of this contribution consists in defining concordance indexes, as dependence measures, in a multivariate context. For this reason a k-variate (k > 2) concordance index is provided recurring to statistical tools such as ranks-based approach and multiple linear regression function. All the theoretical topics involved are shown through a practical example.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Leti, G.: Statistica descrittiva. Il Mulino (1983)
Muliere, P.: Alcune osservazioni sull’equità orizzontale di una tassazione. Scritti in onore di Francesco Brambilla. Ed. by Bocconi Comunicazione 2, (Milano, 1986)
Musgrave, R.A.: The Theory of Public Finance. New York, Mc Graw Hill (1959)
Petrone, S., Muliere, P.: Generalized Lorenz curve and monotone dependence orderings. Metron Vol L, No. 3–4 (1992)
Plotnick, R.: A Measure of Horizontal Inequity. The review of Economics and Statistics, 2, 283–288 (1981)
Acknowledgements
The authors acknowledge financial support from the European grant EU-IP MUSING (contract number 027097). The paper is the result of the close collaboration among the authors, however, it has been written by Emanuela Raffinetti with the supervision of Prof. Paolo Giudici.
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2012 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Raffinetti, E., Giudici, P. (2012). Multivariate Ranks-Based Concordance Indexes. In: Di Ciaccio, A., Coli, M., Angulo Ibanez, J. (eds) Advanced Statistical Methods for the Analysis of Large Data-Sets. Studies in Theoretical and Applied Statistics(). Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-21037-2_42
Download citation
DOI: https://doi.org/10.1007/978-3-642-21037-2_42
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-21036-5
Online ISBN: 978-3-642-21037-2
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)