2015/06/23 by Chunfeng Huang, Huang, Chunfeng, Haimeng Zhang +3
Environmental Science · Mathematics · #FOS: Computer and information sciences #Methodology (stat.ME) #Morphological variations and asymmetry #Soil Geostatistics and Mapping #stat.ME
paper · pdf · doi:10.48550/arxiv.1506.07186
14 pages, initial version
arxiv created 2015/06/23 · openalex publication_date 2015/06/23 · arxiv updated 2015/06/25 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Intrinsic random functions (IRF) provide a versatile approach when the assumption of second-order stationarity is not met. Here, we develop the IRF theory on the circle with its universal kriging application. Unlike IRF in Euclidean spaces, where differential operations are used to achieve stationarity, our result shows that low-frequency truncation of the Fourier series representation of the IRF is required for such processes on the circle. All of these features and developments are presented through the theory of reproducing kernel Hilbert space. In addition, the connection between kriging and splines is also established, demonstrating their equivalence on the circle.