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In particular, we consider a geostatistical model with additive components, where the form of the covariance function of the spatial random error is not prespecified and thus is flexible. A novel, local Karhunen\u2013Lo\u00e8ve expansion is developed and a likelihood-based method is devised for estimating the model parameters and statistical inference. A simulation study demonstrates sound finite sample properties and a real data example is given for illustration. Finally, the theoretical properties of the estimates are explored and, in particular, consistency results are established.<\/jats:p>","DOI":"10.1111\/rssb.12053","type":"journal-article","created":{"date-parts":[[2013,12,9]],"date-time":"2013-12-09T12:12:47Z","timestamp":1386591167000},"page":"817-832","source":"Crossref","is-referenced-by-count":5,"title":["On Semiparametric Inference of Geostatistical Models via Local Karhunen\u2013Lo\u00e8ve Expansion"],"prefix":"10.1093","volume":"76","author":[{"given":"Tingjin","family":"Chu","sequence":"first","affiliation":[{"name":"Renmin University of China , Beijing , People's Republic of China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Haonan","family":"Wang","sequence":"additional","affiliation":[{"name":"Colorado State University , Fort Collins , USA"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Jun","family":"Zhu","sequence":"additional","affiliation":[{"name":"University of Wisconsin , Madison , USA"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"286","published-online":{"date-parts":[[2013,12,9]]},"reference":[{"key":"2023031400063375000_","volume-title":"Random Fields and Geometry","author":"Adler","year":"2007"},{"key":"2023031400063375000_","doi-asserted-by":"crossref","DOI":"10.1017\/CBO9780511543241","volume-title":"Radial Basis Functions: Theory and Implementations","author":"Buhmann","year":"2003"},{"key":"2023031400063375000_","doi-asserted-by":"crossref","first-page":"1417","DOI":"10.1016\/j.jmva.2006.08.010","article-title":"Asymptotic properties of computationally efficient alternative estimators for a class of multivariate normal models","volume":"98","author":"Caragea","year":"2007","journal-title":"J. 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