Fourier analysis of irregularly spaced data on Rd

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A Resampling-Based Stochastic Approximation Method for Analysis of Large Geostatistical Data (2013, methodology): “The likelihood approximation methods seek to approximate the likelihood function in the spectral domain of the spatial process (Stein 1999; Fuentes 2007; Matsuda and Yajima 2009) or by a product of conditional densities (Vecchia 1988; Jones and Zhang 1997; Stein et al. 2004). Concerns about these me”
The debiased Whittle likelihood (2019, methodology): “…is a frequency-domain approximation to the exact likelihood and is considered a standard method in parametric spectral analysis on account of its O(n log n) computational efficiency (Choudhuri et al., 2004; Fuentes, 2007; Matsuda & Yajima, 2009; Krafty & Collinge, 2013; Jesus & Chandler, 2017).”
Tapered Covariance: Bayesian Estimation and Asymptotics (2012, methodology): “Data locations are sited irregularly on a unit grid purturbed with iid uniform(-1/3, 1/3) deviations, closely following Stein et al. (2004) and Kaufman et al.”