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Subsampling Variance Estimation for Non-stationary Spatial Lattice Data
Authors:MAGNUS EKSTRÖM
Institution:Centre of Biostochastics, Swedish University of Agricultural Sciences
Abstract:ABSTRACT.  Most proposed subsampling and resampling methods in the literature assume stationary data. In many empirical applications, however, the hypothesis of stationarity can easily be rejected. In this paper, we demonstrate that moment and variance estimators based on the subsampling methodology can also be employed for different types of non-stationarity data. Consistency of estimators are demonstrated under mild moment and mixing conditions. Rates of convergence are provided, giving guidance for the appropriate choice of subshape size. Results from a small simulation study on finite-sample properties are also reported.
Keywords:block bootstrap  mixing  non-stationary random field  resampling  spatial lattice data  subsampling
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