On the asymptotic joint distribution of sample space-time covariance estimators

DOI10.3150/07-BEJ6196zbMath1155.62010arXiv0803.2171OpenAlexW2165064974MaRDI QIDQ1002584

J. Martínez

Publication date: 2 March 2009

Published in: Bernoulli (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0803.2171

zbMATH Keywords

asymptotic normalityrandom fieldmixingcovarianceincreasing domain asymptotics

Mathematics Subject Classification ID

Random fields; image analysis (62M40) Asymptotic distribution theory in statistics (62E20) Central limit and other weak theorems (60F05)

Related Items (5)

Spatio-temporal analysis with short- and long-memory dependence: a state-space approach ⋮ Estimating Space and Space-Time Covariance Functions for Large Data Sets: A Weighted Composite Likelihood Approach ⋮ A review of nonparametric hypothesis tests of isotropy properties in spatial data ⋮ Asymptotic Properties of the Empirical Spatial Extremogram ⋮ Generalised least squares estimation of regularly varying space-time processes based on flexible observation schemes

Cites Work

• Decay of correlations under Dobrushin's uniqueness condition and its applications
• On the central limit theorem for stationary mixing random fields
• Time series: theory and methods.
• The asymptotic distribution theory of the empiric cdf for mixing stochastic processes
• Some examples of mixing random fields
• A CENTRAL LIMIT THEOREM AND A STRONG MIXING CONDITION
• Towards reconciling two asymptotic frameworks in spatial statistics
• Inference for stationary random fields given Poisson samples
• Nonparametric Estimation of the Moments of a General Statistic Computed from Spatial Data
• Nonseparable, Stationary Covariance Functions for Space–Time Data
• Non-parametric covariance estimation from irregularly-spaced data
• A Nonparametric Assessment of Properties of Space–Time Covariance Functions
• Measures of multivariate skewness and kurtosis with applications
• A Nonparametric Test for Spatial Isotropy Using Subsampling
• Space–Time Covariance Functions
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