{"?xml":{"@version":"1.0"},"edm:RDF":{"@xmlns:dc":"http://purl.org/dc/elements/1.1/","@xmlns:edm":"http://www.europeana.eu/schemas/edm/","@xmlns:wgs84_pos":"http://www.w3.org/2003/01/geo/wgs84_pos","@xmlns:foaf":"http://xmlns.com/foaf/0.1/","@xmlns:rdaGr2":"http://rdvocab.info/ElementsGr2","@xmlns:oai":"http://www.openarchives.org/OAI/2.0/","@xmlns:owl":"http://www.w3.org/2002/07/owl#","@xmlns:rdf":"http://www.w3.org/1999/02/22-rdf-syntax-ns#","@xmlns:ore":"http://www.openarchives.org/ore/terms/","@xmlns:skos":"http://www.w3.org/2004/02/skos/core#","@xmlns:dcterms":"http://purl.org/dc/terms/","edm:WebResource":[{"@rdf:about":"http://www.dlib.si/stream/URN:NBN:SI:DOC-E4HQIJDP/393bd309-ea4c-4380-87eb-a01d7c3f4ba3/HTML","dcterms:extent":"65 KB"},{"@rdf:about":"http://www.dlib.si/stream/URN:NBN:SI:DOC-E4HQIJDP/037dbf63-9242-4e36-a1e1-55b60b62490e/PDF","dcterms:extent":"207 KB"},{"@rdf:about":"http://www.dlib.si/stream/URN:NBN:SI:DOC-E4HQIJDP/fd753c29-0d7d-41f0-91a0-d5f8ee78b9db/TEXT","dcterms:extent":"28 KB"}],"edm:TimeSpan":{"@rdf:about":"2000-2024","edm:begin":{"@xml:lang":"en","#text":"2000"},"edm:end":{"@xml:lang":"en","#text":"2024"}},"edm:ProvidedCHO":{"@rdf:about":"URN:NBN:SI:DOC-E4HQIJDP","dcterms:isPartOf":[{"@rdf:resource":"https://www.dlib.si/details/urn:nbn:si:spr-fzwbu7gu"},{"@xml:lang":"sl","#text":"Image analysis and stereology"}],"dcterms:issued":"2007","dc:creator":"Heinrich, Lothar","dc:format":[{"@xml:lang":"sl","#text":"številka:2"},{"@xml:lang":"sl","#text":"letnik:26"},{"@xml:lang":"sl","#text":"9 strani"},{"@xml:lang":"sl","#text":"str. 63-71"}],"dc:identifier":["ISSN:1580-3139","COBISSID:23777753","URN:URN:NBN:SI:doc-E4HQIJDP"],"dc:language":"en","dc:publisher":{"@xml:lang":"sl","#text":"Društvo za stereologijo in kvantitativno analizo slike, Medicinska fakulteta"},"dc:subject":[{"@xml:lang":"en","#text":"Confidence Intervals"},{"@xml:lang":"sl","#text":"Delec, velikost"},{"@xml:lang":"en","#text":"Image Processing, Computer-Assisted"},{"@xml:lang":"sl","#text":"matematična morfologija"},{"@xml:lang":"en","#text":"Particle Size"},{"@xml:lang":"sl","#text":"Slika, obdelava z računalnikom"},{"@xml:lang":"sl","#text":"stereologija"},{"@xml:lang":"sl","#text":"Zaupanje, intervali"},{"@rdf:resource":"http://www.wikidata.org/entity/Q1598902"}],"dcterms:temporal":{"@rdf:resource":"2000-2024"},"dc:title":{"@xml:lang":"sl","#text":"Limit distributions of some stereological estimators in Wicksell's corpuscle problem|"},"dc:description":{"@xml:lang":"sl","#text":"Suppose that a homogeneous system of spherical particles (d-spheres) with independent identically distributed radii is contained in some opaque d-dimensional body, and one is interested to estimate the common radius distribution. The only information one can get is by making a cross-section ofthat body with an s-flat (1 <= s <= d - 1) and measuring the radii of the s-spheres and their midpoints. The analytical solution of (the hyper-stereological version of) Wicksell's corpuscle problem is used to construct an empirical radius distribution of the d-spheres. In this paper we study the asymptotic behaviour of this empirical radius distribution for s = d- 1 and s = d - 2 under the assumption that the s-dimensional intersection volume becomes unboundedly large and the point process of the midpoints of thed-spheres is Brillinger-mixing. Of course, in stereological practice the only relevant cases are d = 3, s = 2 or s = 1 and d = 2, s = 1. Among others we generalize and extend some results obtained in Franklin (1981) and Groeneboom and Jongbloed (1995) under the Poisson assumption for the special case d = 3, s = 2"},"edm:type":"TEXT","dc:type":[{"@xml:lang":"sl","#text":"znanstveno časopisje"},{"@xml:lang":"en","#text":"journals"},{"@rdf:resource":"http://www.wikidata.org/entity/Q361785"}]},"ore:Aggregation":{"@rdf:about":"http://www.dlib.si/?URN=URN:NBN:SI:DOC-E4HQIJDP","edm:aggregatedCHO":{"@rdf:resource":"URN:NBN:SI:DOC-E4HQIJDP"},"edm:isShownBy":{"@rdf:resource":"http://www.dlib.si/stream/URN:NBN:SI:DOC-E4HQIJDP/037dbf63-9242-4e36-a1e1-55b60b62490e/PDF"},"edm:rights":{"@rdf:resource":"http://rightsstatements.org/vocab/InC/1.0/"},"edm:provider":"Slovenian National E-content Aggregator","edm:intermediateProvider":{"@xml:lang":"en","#text":"National and University Library of Slovenia"},"edm:dataProvider":{"@xml:lang":"sl","#text":"Društvo za stereologijo in kvantitativno analizo slike"},"edm:object":{"@rdf:resource":"http://www.dlib.si/streamdb/URN:NBN:SI:DOC-E4HQIJDP/maxi/edm"},"edm:isShownAt":{"@rdf:resource":"http://www.dlib.si/details/URN:NBN:SI:DOC-E4HQIJDP"}}}}