Variance estimation and prediction of gini coefficient for income distribution using asymptotic expansions and resampling methods

dc.contributor.author	Φράγκος, Χρήστος Κ. (1949-)	el
dc.date.accessioned	2015-05-05T09:56:59Z
dc.date.available	2015-05-05T09:56:59Z
dc.date.issued	2015-05-05
dc.identifier.uri	http://hdl.handle.net/11400/9727
dc.rights	An error occurred on the license name.	*
dc.rights.uri	An error occurred getting the license - uri.	*
dc.source	http://papers.ssrn.com/sol3/papers.cfm?abstract_id=1372025	el
dc.subject	Estimation
dc.subject	Gini coefficient
dc.subject	Income distribution
dc.subject	Distribution
dc.subject	Διανομή
dc.subject	Εκτίμηση
dc.subject	Συντελεστής Gini
dc.subject	Κατανομή του εισοδήματος
dc.subject	Income
dc.subject	Εισόδημα
dc.title	Variance estimation and prediction of gini coefficient for income distribution using asymptotic expansions and resampling methods	en
heal.type	journalArticle
heal.classification	Mathematics
heal.classification	Statistics
heal.classification	Μαθηματικά
heal.classification	Στατιστική
heal.classificationURI	http://zbw.eu/stw/descriptor/15045-3
heal.classificationURI	http://id.loc.gov/authorities/subjects/sh99001414
heal.classificationURI	N/A-Μαθηματικά
heal.classificationURI	N/A-Στατιστική
heal.keywordURI	http://zbw.eu/stw/descriptor/19037-3
heal.keywordURI	http://id.loc.gov/authorities/subjects/sh86007079
heal.keywordURI	http://zbw.eu/stw/descriptor/11735-5
heal.keywordURI	http://zbw.eu/stw/descriptor/10006-3
heal.language	en
heal.access	campus
heal.recordProvider	Τεχνολογικό Εκπαιδευτικό Ίδρυμα Αθήνας. Σχολή Διοίκησης και Οικονομίας. Τμήμα Διοίκησης Επιχειρήσεων. Κατεύθυνση Διοίκηση Επιχειρήσεων	el
heal.publicationDate	2006-01
heal.bibliographicCitation	Frangos, C. C. (2006). Variance estimation and prediction of gini coefficient for income distribution using asymptotic expansions and resampling methods. "Archives of Economic History" 18(1). January-June 2006. pp. 57-81. Available from: http://papers.ssrn.com/sol3/papers.cfm?abstract_id=1372025. [Accessed 14/03/2014]	en
heal.abstract	In the present paper we consider the Coefficient of Gini (Kendall and Stuart, 1982), for income distribution. This statistic is derived from data showing the annual taxes paid by the Greek taxpayers, for years 1960 to 1996. An intractable issue is the estimation of its variance because of the complication of its distribution. Applying von Mises asymptotic expansions for differentiable statistical functionals (Hinkley, 1978), (Frangos, 1980) we estimate the variance of Gini coefficient for a set of frequency data regarding a particular year. Robust confidence intervals for Gini coefficient are constructed using the jackknife statistical methodology. Treating the series of Gini estimates from 1960 from to 1996 as a time series from an autoregressive model, we estimate its parameters using the bootstrap methodology, (Davison and Hinkley, 1997) and we compare the bootstrap confidence intervals for the parameters with the least squares ones. Finally, three autoregressive models for prediction of Gini Coefficient are compared with respect to their predictive errors. A simple autoregressive model is selected for prediction purposes. The above comparisons support the argument of a clear superiority of the bootstrap confidence intervals, with respect to their length, over the "classical" method of least squares.	en
heal.journalName	Archives of Economic History	en
heal.journalType	peer-reviewed
heal.fullTextAvailability	true