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2012 | 15 | 4 | 265-279

Article title

Spatial Quantile Regression

Content

Title variants

Languages of publication

EN

Abstracts

EN
In a number of applications, a crucial problem consists in describing and analyzing the influence of a vector Xi of covariates on some real-valued response variable Yi. In the present context, where the observations are made over a collection of sites, this study is more difficult, due to the complexity of the possible spatial dependence among the various sites. In this paper, instead of spatial mean regression, we thus consider the spatial quantile regression functions. Quantile regression has been considered in a spatial context. The main aim of this paper is to incorporate quantile regression and spatial econometric modeling. Substantial variation exists across quantiles, suggesting that ordinary regression is insufficient on its own. Quantile estimates of a spatial-lag model show considerable spatial dependence in the different parts of the distribution.

Keywords

Year

Volume

15

Issue

4

Pages

265-279

Physical description

Dates

published
2012-12-01
online
2013-03-08

Contributors

  • Ph.D., Professor at the University of Economics in Katowice

References

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  • Chernozhukov V., Hansen Ch.. (2006), Instrumental Quantile Regression Inference for Structural and Treatment Effect Models, Journal of Econometrics, 132
  • Cleveland, W. S. (1994), Coplots, Nonparametric Regression, and Conditionally Parametric Fits. In T.W. Anderson, K.T. Fant, and I. Olkin (Eds.), Multivariate Analysis and its Applications, Hayward: Institute of Mathematical Statistics.
  • Kim T.-H., Muller Ch.. (2004), Two-Stage Quantile Regression when the First Stage is Based on Quantile Regression, Econometrics Journal, 7
  • Koenker R., Basset B., (1978), Regression Quantiles, Econometrica, Vol 46
  • Koenker R., Ng P., (2005), Inequality Constrained Quantile Regression, The Indian Journal of Statistics, Vol. 67
  • Koenker R., Hallock K. F. (2001), Quantile Regression, Journal of Economic Perspectives, 15
  • Koenker R., Mizera I. (2004). Penalized Triograms: Total Variation Regularization for Bivariate Smoothing, Journal of the Royal Statistical Society: Series B, 66
  • Kostov, P. (2009), A Spatial Quantile Regression Hedonic Model of Agricultural Land Prices, Spatial Economic Analysis, 4
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  • Trzpiot G., (2008), The Implementation of Quantile Regression Methodology in VaR Estimation “Studies and Researches of Faculty of Economics and Management University of Szczecin”,
  • Trzpiot G., (2009 a), Quantile Regression Model versus Factor Model Estimation, in: Financial Investments and Insurances”, University of Economics in Wrocław, Vol 60
  • Trzpiot G., (2009 b), Application weighted VaR in capital allocation, Polish Journal of Environmental Studies, Olsztyn, Vol 18, 5B
  • Trzpiot G., (2009 c), Estimation methods for quantile regression, Economics Studies 53, Karol Adamiecki University of Economics in Katowice
  • Trzpiot G., (2010), Quantile Regression Model of Return Rate Relation - Volatility for Some Warsaw Stock Exchange Indexes, (in Polish), Finances, Financial Markets and Insurances. Capital Market, University of Szczecin, Vol 28, 61-76
  • Trzpiot G. (2011a). Bayesian Quantile Regression, Studia Ekonomiczne, Zeszyty Naukowe nr 65, Uniwersytet Ekonomiczny w Katowicach, 33-44
  • Trzpiot G. (2011b). Some tests for quantile regression models, Acta Universitatis Lodziensis, Łódź, Folia Economica, 255, 125-135
  • Zeitz J., Zietz E. N., Sirmans G. S. (2008) Determinants of House Prices: A Quantile Regression Approach, Journal of Real Estate Finance and Economics, 37[WoS]

Document Type

Publication order reference

Identifiers

YADDA identifier

bwmeta1.element.hdl_11089_8323
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