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Nonparametric prediction with spatial data

Abhimanyu Gupta, Javier Hidalgo

arXiv 10 Aug 2020 · Econometrics · publishedEconometric Theory (2022) · 3 citations (OpenAlex)

arXiv:2008.04269 · PDF · DOI · OpenAlex · Extracted main text

Abstract

We describe a (nonparametric) prediction algorithm for spatial data, based on a canonical factorization of the spectral density function. We provide theoretical results showing that the predictor has desirable asymptotic properties. Finite sample performance is assessed in a Monte Carlo study that also compares our algorithm to a rival nonparametric method based on the infinite AR representation of the dynamics of the data. Finally, we apply our methodology to predict house prices in Los Angeles.

Citation extraction

50
references
71
in-text mentions
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distinct cited
3
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main-text words

appendix boundary found by appendix_command · 59% of the source is main text. Read the extracted text to check this.

Most heavily cited references

The works this paper leans on most, across its whole bibliography — not restricted to papers in our corpus. Ranked by composite intensity, which combines how often a work is mentioned, how many sections mention it, and how much of that falls in the main text rather than the appendix.

ReferenceIntensityMentionsSectionsMain text
1Whittle, P (1954) On stationary processes in the plane1.00063100%
2Hidalgo, J. and Y. Yajima (2002) Prediction and signal extraction of strongly dependent processes in the frequency domain self0.7373367%
3Brillinger, D. R (1981) Time Series: Data Analysis and Theory0.73732100%
4Gupta, A (2018) Autoregressive spatial spectral estimates self0.73732100%
5Banerjee, S., A. E. Gelfand, J. R. Knight, and C. F. Sirmans (2004) Spatial modeling of house prices using normalized distance-weighted sums of stationary processes0.64422100%
6Bhansali, R. J (1974) Asymptotic properties of the Wiener-Kolmogorov predictor. I0.64422100%
7Iversen Jr, E (2001) Spatially disaggregated real estate indices0.64422100%
8Majumdar, A., H. J. Munneke, A. E. Gelfand, S. Banerjee, and C. F. S… (2006) Gradients in spatial response surfaces with application to urban land values0.64422100%
9Cressie, N. A (1993) Statistics for Spatial Data0.51121100%
10Korezlioglu, H. and P. Loubaton (1986) Spectral factorization of wide sense stationary processes on $Z^2$0.51121100%

Showing the top 10 of 50 scored citations.