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Estimating Housing Prices: A Proposal with Spatially Correlated Data

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Abstract

The price of housing per square meter and the trend observed over the last few years is one of the issues that most concerns Spanish citizens and subsequently their political and economic representatives. However, in spite of the importance of space in the real estate market, official averages do not take into account the spatial correlation of housing prices. In order to solve this handicap, we propose the kriging the mean method to estimate mean housing prices. This method provides the best unbiased linear estimation taking into account spatially correlated data.

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Notes

  1. The covariance function has been taken from Cressie (1993), p. 14. This function is obtained from an autorregresive first-order process, \( X\left( {{s_i}} \right) = \rho X\left( {{s_{i - 1}}} \right) + \varepsilon \left( {{s_i}} \right)\quad i \geqslant 1 \), where ε(si) are random independent and equally distributed Gaussian variables with null mean and variance σ2 (1−ρ2), independent from X (s i−1). Nevertheless, in this article \( X \equiv \left( {X\left( {{s_1}} \right), \ldots, X\left( {{s_n}} \right)} \right) \) are spatial data in ℝ2 so that the prediction of X(s 0) or \( X\left( {{s_{{\raise0.7ex\hbox{$3$} \!\mathord{\left/{\vphantom {3 2}}\right.}\!\lower0.7ex\hbox{$2$}}}}} \right) \) is so appropriated as the one from X (s n+1).

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Correspondence to Beatriz Larraz.

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Montero, J.M., Larraz, B. Estimating Housing Prices: A Proposal with Spatially Correlated Data. Int Adv Econ Res 16, 39–51 (2010). https://doi.org/10.1007/s11294-009-9244-5

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  • DOI: https://doi.org/10.1007/s11294-009-9244-5

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