Arbeitspapier

Spatial circular matrices, with applications

The cumulants of the quadratic forms associated to the so-called spatial design matrices are often needed for inference in the context of isotropic processes on uniform grids. Unfortunately, because the eigenvalues of the matrices involved are generally unknown, the computation of the cumulants may be very demanding if the grids are large. This paper constructs circular counterparts, with known eigenvalues, to the spatial design matrices. It then studies some of their properties, and analyzes their performance in a number of applications.

Language
Englisch

Bibliographic citation
Series: cemmap working paper ; No. CWP06/10

Classification
Wirtschaft
Hypothesis Testing: General
Single Equation Models; Single Variables: Cross-Sectional Models; Spatial Models; Treatment Effect Models; Quantile Regressions
Subject
circulant matrices
isotropic spatial processes
Moran correlogram
quadratic forms
spatial design matrices
variogram GLS fitting
Statistischer Test
Ökonometrie

Event
Geistige Schöpfung
(who)
Hillier, Grant
Martellosio, Federico
Event
Veröffentlichung
(who)
Centre for Microdata Methods and Practice (cemmap)
(where)
London
(when)
2010

DOI
doi:10.1920/wp.cem.2010.0610
Handle
Last update
10.03.2025, 11:44 AM CET

Data provider

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Object type

  • Arbeitspapier

Associated

  • Hillier, Grant
  • Martellosio, Federico
  • Centre for Microdata Methods and Practice (cemmap)

Time of origin

  • 2010

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