Testing for directional symmetry in spatial dependence using the periodogram

DOI10.1016/j.jspi.2004.06.058zbMath1058.62078OpenAlexW1972220989MaRDI QIDQ1765675

Dale L. Zimmerman, Nelson Lu

Publication date: 23 February 2005

Published in: Journal of Statistical Planning and Inference (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jspi.2004.06.058

zbMATH Keywords

IsotropySpatial correlationPeriodogramLattice processReflection symmetry

Mathematics Subject Classification ID

Inference from spatial processes (62M30) Inference from stochastic processes and spectral analysis (62M15) Non-Markovian processes: hypothesis testing (62M07)

Related Items (15)

A spectral domain test of isotropic properties for irregularly spaced spatial data ⋮ Automatic estimation of spatial spectra via smoothing splines ⋮ Quantifying deviations from separability in space-time functional processes ⋮ On Some Characteristics of Gaussian Covariance Functions ⋮ Testing lack of symmetry in spatial-temporal processes ⋮ Testing axial symmetry and separability of lattice processes ⋮ A review of nonparametric hypothesis tests of isotropy properties in spatial data ⋮ A tuning parameter free test for properties of space-time covariance functions ⋮ Spatial-temporal mesoscale modeling of rainfall intensity using gage and radar data ⋮ Model-based tests for simplification of lattice processes ⋮ Inference for variograms ⋮ Quasi-arithmetic means of covariance functions with potential applications to space-time data ⋮ A nonparametric spectral domain test of spatial isotropy ⋮ Recent advances to model anisotropic space-time data ⋮ Testing for separability of spatial\,-\,temporal covariance functions

Cites Work

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• Incomplete block designs with spatial layouts when observations are dependent
• Spatial Correlation Analysis of Uniformity Data
• Testing for Simplification in Spatial Models
• Analysing Data from Hormone-Receptor Assays
• A subclass of lattice processes applied to a problem in planar sampling
• Nonseparable, Stationary Covariance Functions for Space–Time Data
• Some asymptotic properties of a two-dimensional periodogram

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