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It provides a first-order asymptotic analysis of the proposed kernel estimator for Poisson processes, supplemented by empirical work to probe the behaviour in finite samples and under other generative regimes. The investigation highlights the scope for finite-sample improvements by allowing the bandwidth to adapt to local curvature.<\/jats:p>","DOI":"10.1093\/biomet\/asad012","type":"journal-article","created":{"date-parts":[[2023,2,18]],"date-time":"2023-02-18T14:33:16Z","timestamp":1676730796000},"page":"1009-1021","source":"Crossref","is-referenced-by-count":3,"title":["Nonparametric estimation of the intensity function of a spatial point process on a Riemannian manifold"],"prefix":"10.1093","volume":"110","author":[{"given":"S","family":"Ward","sequence":"first","affiliation":[{"name":"Imperial College London Department of Mathematics, , South Kensington Campus, London SW7 2AZ, U.K"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"H S","family":"Battey","sequence":"additional","affiliation":[{"name":"Imperial College London Department of Mathematics, , South Kensington Campus, London SW7 2AZ, U.K"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"E A K","family":"Cohen","sequence":"additional","affiliation":[{"name":"Imperial College London Department of Mathematics, , South Kensington Campus, London SW7 2AZ, U.K"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"286","published-online":{"date-parts":[[2023,2,28]]},"reference":[{"key":"2023111615233466200_B1","doi-asserted-by":"crossref","DOI":"10.1201\/b19708","volume-title":"Spatial Point Patterns: Methodology and Applications with R","author":"Baddeley,","year":"2015"},{"key":"2023111615233466200_B2","doi-asserted-by":"crossref","first-page":"264","DOI":"10.1111\/j.2517-6161.1963.tb00508.x","article-title":"The spectral analysis of point processes","volume":"25","author":"Bartlett,","year":"1963","journal-title":"J. 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