Central limit theorems for weighted sums of a spatial process under a class of stochastic and fixed designs

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Effective Geographic Sample Size in the Presence of Spatial Autocorrelation (2005, background): “Lahiri (1996, 2003) notes that this is one way of regaining estimator consistency when employing infill asymptotics (i.e., the sample size increases by keeping the study area size constant and increasing the sampling intensity).”
Bayesian Inference and Model Assessment for Spatial Point Patterns Using Posterior Predictive Samples (2017, background): “The use of squares sometimes limits the placement of the Bk when q is large and also access to the edges of D. Work by Sherman and Carlstein (1994), Lahiri (1999), and Lahiri (2003) suggests letting the shape of Bk mimic the shape of D.”
The Dependent Wild Bootstrap (2010, methodology): “In the regularly spaced case, the second-order correctness for the MBB has been studied by Lahiri (1992, 2007) and Götze and Künsch (1996).”
Unconditional Maximum Likelihood Estimation of Linear and Log‐Linear Dynamic Models for Spatial Panels (2005, background): “Nerlove and Balestra (1996) and Nerlove (1999) or Nerlove (2000) have pointed out that it is not necessary to go that far.”
Resampling methods for spatial regression models under a class of stochastic designs (2006, methodology): “1 of [22], it can be shown that there exists a constant C ∈ (0,∞) such that”