Spatial sampling design for parameter estimation of the covariance function

By Michael L. Stein. 2005

109 citations recorded by the source corpus.

Subfields: Computational Theory and Mathematics, Environmental Engineering, Management Science and Operations Research

View Paper: https://www.semanticscholar.org/paper/18e8711a5982d749d94913f08ef7886fa2da5413

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In Computational Theory and Mathematics

In Environmental Engineering

In Management Science and Operations Research

Citations in the corpus

Optimum design of experiments for statistical inference (2012, methodology): “Our work has been focusing on optimal design for estimation of covariance parameters of Gaussian processes (Boukouvalas, 2011) and is based on the work of Zhu and Stein (2005).”
Optimization of sample patterns for universal kriging of environmental variables (2007, background): “Lark (2002) and Zhu and Stein (2005) present, among others, sampling methods for estimating the parameters of covariance functions (variograms), but these methods are not optimal for identifying the trend.”
Design of computer experiments: space filling and beyond (2011, unknown): “Consequently, Zimmerman (2006) for some nominal ν , which he terms EK-(empirical kri- ging-)optimality (see also Zhu and Stein (2005) for a similar criterion).”
Spatial designs and properties of spatial correlation: Effects on covariance estimation (2007, methodology): “Cluster designs are found to be the optimal design for spatial covariance estimation by several authors (Pettitt and McBratney 1993; Muller and Zimmerman 1999; Zhu and Stein 2005; Xia et al. 2006; Zimmerman 2006; Zhu and Zhang 2006).”
Spatial sampling design under the infill asymptotic framework (2006, methodology): “Caselton et al. (1992), Banjevic and Switzer (2002), Wiens (2004), Zimmerman (2005), and Zhu and Stein (2004b) have considered different aspect of this problem in recent years.”
A Resampling-Based Stochastic Approximation Method for Analysis of Large Geostatistical Data (2013, result): “It is interesting to point out that Zhu and Stein (2005) conjectured that MLE has the same result as given in (19).”
Spatial sampling design for prediction with estimated parameters (2006, methodology): “See Zhu and Stein (2005) for more details.”