{"?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-Q270TW3U/b6563bbd-0b2d-4352-98a2-235ccd3bf90a/HTML","dcterms:extent":"28 KB"},{"@rdf:about":"http://www.dlib.si/stream/URN:NBN:SI:doc-Q270TW3U/c8d8b4e7-f289-490b-8a9a-ef7a6ae66cf8/PDF","dcterms:extent":"136 KB"},{"@rdf:about":"http://www.dlib.si/stream/URN:NBN:SI:doc-Q270TW3U/bec11aec-041e-41d5-bd9b-be3fc9660486/TEXT","dcterms:extent":"15 KB"}],"edm:TimeSpan":{"@rdf:about":"2004-2024","edm:begin":{"@xml:lang":"en","#text":"2004"},"edm:end":{"@xml:lang":"en","#text":"2024"}},"edm:ProvidedCHO":{"@rdf:about":"URN:NBN:SI:doc-Q270TW3U","dcterms:isPartOf":[{"@rdf:resource":"https://www.dlib.si/details/URN:NBN:SI:spr-5K4IBMCW"},{"@xml:lang":"sl","#text":"Metodološki zvezki"}],"dcterms:issued":"2004","dc:creator":["Blejec, Andrej","Cedilnik, Anton","Košmelj, Katarina"],"dc:format":[{"@xml:lang":"sl","#text":"številka:1"},{"@xml:lang":"sl","#text":"letnik:1"},{"@xml:lang":"sl","#text":"10 strani"},{"@xml:lang":"sl","#text":"str. 99-108"}],"dc:identifier":["COBISSID:13208921","ISSN:1854-0023","ISSN:1854-0031","URN:URN:NBN:SI:doc-Q270TW3U"],"dc:language":"en","dc:publisher":{"@xml:lang":"sl","#text":"Fakulteta za družbene vede"},"dc:subject":[{"@xml:lang":"sl","#text":"Cauchyjeva porazdelitev"},{"@xml:lang":"sl","#text":"kvocient"},{"@xml:lang":"sl","#text":"polinomska regresija"},{"@xml:lang":"sl","#text":"teorija verjetnosti"},{"@xml:lang":"sl","#text":"verjetnostni račun"},{"@rdf:resource":"http://www.wikidata.org/entity/Q726441"}],"dcterms:temporal":{"@rdf:resource":"2004-2024"},"dc:title":{"@xml:lang":"sl","#text":"The distribution of the ratio of jointly normal variables|"},"dc:description":[{"@xml:lang":"sl","#text":"We derive the probability density of the ratio of components of the bivariate normal distribution with arbitrary parameters. The density is a product of two factors, the first is a Cauchy density, the second a very complicated function. We show that the distribution under study does not possess an expected value or other moments of higher order. Our particular interest is focused on the shape of the density. We introduce a shape of parameter and show that according to its sign the densities are classified into three main groups. As an example, we derive the distribution of the ratio ?$Z = -B_{m-1}/(mB_m)$? for a polynomial regression of order ?$m$?. For ?$m=1$?, ?$Z$? is the estimator of the zero of a linear regression, for ?$m=2$?, an estimator for the abscissa of the extreme of a quadratic regression, and for ?$m=3$?, an estimator for the abscissa of the inflection point of a cubic regression"},{"@xml:lang":"sl","#text":"Izpeljemo gostoto verjetnosti kvocienta komponent dvorazsežnega normalno porazdeljenega vektorja s poljubnimi parametri. Izpeljana gostota je produkt dveh faktorjev; prvi je Cauchyjeva gostota, drugi pa neka komplicirana funkcija, ki pokvari simetrijo prvega. Pokažemo, da taka porazdelitev nima momentov. Poseben poudarek namenimo obliki porazdelitve. Vpeljemo parameter oblike, ki glede na svoj predznak klasificira tri tipe. Kot primer izpeljemo porazdelitev kvocienta ?$Z = -B_{m-1}/(mB_m)$? za polinomsko regresijo ?$m$?-te stopnje. Za ?$m=1$? je ?$Z$? ocena ničle linearne regresije, za ?$m=2$? je ?$Z$? ocena abscise ekstrema kvadratične regresije, za ?$m=3$? pa je ?$Z$? ocena abscise prevoja kubične regresije"}],"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-Q270TW3U","edm:aggregatedCHO":{"@rdf:resource":"URN:NBN:SI:doc-Q270TW3U"},"edm:isShownBy":{"@rdf:resource":"http://www.dlib.si/stream/URN:NBN:SI:doc-Q270TW3U/c8d8b4e7-f289-490b-8a9a-ef7a6ae66cf8/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":"Univerza v Ljubljani, Fakulteta za družbene vede"},"edm:object":{"@rdf:resource":"http://www.dlib.si/streamdb/URN:NBN:SI:doc-Q270TW3U/maxi/edm"},"edm:isShownAt":{"@rdf:resource":"http://www.dlib.si/details/URN:NBN:SI:doc-Q270TW3U"}}}}