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[{"key": "dc.contributor.author", "value": "Niilo-R\u00e4m\u00e4, Mikko", "language": null, "element": "contributor", "qualifier": "author", "schema": "dc"}, {"key": "dc.date.accessioned", "value": "2011-02-24T13:47:31Z", "language": null, "element": "date", "qualifier": "accessioned", "schema": "dc"}, {"key": "dc.date.available", "value": "2011-02-24T13:47:31Z", "language": null, "element": "date", "qualifier": "available", "schema": "dc"}, {"key": "dc.date.issued", "value": "2011", "language": null, "element": "date", "qualifier": "issued", "schema": "dc"}, {"key": "dc.identifier.other", "value": "oai:jykdok.linneanet.fi:1149502", "language": null, "element": "identifier", "qualifier": "other", "schema": "dc"}, {"key": "dc.identifier.uri", "value": "https://jyx.jyu.fi/handle/123456789/26594", "language": null, "element": "identifier", "qualifier": "uri", "schema": "dc"}, {"key": "dc.description.abstract", "value": "Tutkielmassa k\u00e4sitell\u00e4\u00e4n tasossa olevan viivasegmenttiprosessin kahta ensimm\u00e4isen\nkertaluvun tunnusta: intensiteetti\u00e4 ja pituusjakauman odotusarvoa.\nUusina menetelmin\u00e4 esitell\u00e4\u00e4n intensiteetin estimoinnissa kahden referenssipisteen\nk\u00e4ytt\u00f6 sek\u00e4 plusotannan aiheuttaman harhan korjaus k\u00e4ytt\u00e4en harhalle\nlaskettua odotusarvoa. Pituusjakauman odotusarvon estimoinnissa uutta on\nsis\u00e4ltymissuhteeseen perustuva estimaattori.\nTilastollisena mallina prosessille k\u00e4ytet\u00e4\u00e4n Boolen mallia, joka on erikoistapaus\ngerm\u2013grain-mallista. Lis\u00e4ksi oletetaan viivasegmenttien pituuden noudattavan\neksponenttijakaumaa ja suuntakulman suhteessa x-akseliin tasajakaumaa.\nTunnuslukujen estimoinnissa tarvittava otanta suoritetaan k\u00e4ytt\u00e4m\u00e4ll\u00e4 neli\u00f6n\nmuotoista havaintoikkunaa. Eri otantatekniikoista esitell\u00e4\u00e4n plusotanta,\njoka sis\u00e4lt\u00e4\u00e4 kaikki ikkunaa leikkaavat segmentit, sek\u00e4 miinusotanta, joka sis\u00e4lt\u00e4\u00e4\nvain kokonaan ikkunaan mahtuneet segmentit. N\u00e4m\u00e4 otantatekniikat sis\u00e4lt\u00e4v\u00e4t\nharhan, jonka suuruus on mahdollista laskea, mik\u00e4li viivasegmenttien\npituusjakauma tunnetaan. Kolmantena otantatekniikkana esitell\u00e4\u00e4n referenssipisteotanta,\njossa yksitt\u00e4isen viivasegmentin mukaantulo otokseen m\u00e4\u00e4r\u00e4ytyy\nsiihen liitetyn referenssipisteen perusteella. T\u00e4m\u00e4 otantatekniikka osoitetaan\nharhattomaksi.\nSimulointikokeilla osoitetaan, ett\u00e4 Boolen mallin tapauksessa k\u00e4ytett\u00e4ess\u00e4\nyhden sijaan kahta eri referenssipistett\u00e4, saadaan estimaattorin varianssia\npienennetty\u00e4. N\u00e4in k\u00e4y erityisesti silloin, kun ikkunan koko suhteessa viivasegmenttien\nkeskipituuteen on pieni. Tarkin estimaattori intensiteetille saadaan\nkuitenkin k\u00e4ytt\u00e4m\u00e4ll\u00e4 harhasta korjattua plusotantaa.\nPituusjakauman odotusarvon estimaattoreista tarkastellaan mm. perinteist\u00e4\nsuurimman uskottavuuden menetelm\u00e4\u00e4 sek\u00e4 Kaplan\u2013Meier-estimaattoria.\nLis\u00e4ksi esitell\u00e4\u00e4n sis\u00e4ltymissuhde-estimaattori, joka perustuu plus- ja miinusotantojen\ntuottamien otoskokojen suhteeseen eik\u00e4 edellyt\u00e4 yhdenk\u00e4\u00e4n viivasegmentin\npituuden tuntemista.\nSimulointien perusteella SU-menetelm\u00e4 osoittautuu eritt\u00e4in tarkaksi, mutta\nsis\u00e4ltymissuhteeseen perustuva estimaattori on kuitenkin varsin kilpailukykyinen\nsen kanssa. Sen sijaan Kaplan\u2013Meier-estimaattori osoittautuu selv\u00e4sti\nep\u00e4tarkemmaksi ja jopa jonkin verran harhaiseksi. Kaikki estimaattorit kuitenkin\ntarkentuvat varsin nopeasti ikkunan koon kasvaessa.", "language": null, "element": "description", "qualifier": "abstract", "schema": "dc"}, {"key": "dc.description.provenance", "value": "Submitted using Plone Publishing form by Mikko Niilo-R\u00e4m\u00e4 (miniilo) on 2011-02-24 13:47:29.211839. Form: Pro gradu -lomake (1 tekij\u00e4) (https://kirjasto.jyu.fi/julkaisut/julkaisulomakkeet/pro-gradu-lomake-1-tekijae). JyX data:", "language": "en", "element": "description", "qualifier": "provenance", "schema": "dc"}, {"key": "dc.description.provenance", "value": "Submitted by jyx lomake-julkaisija (jyx-julkaisija@noreply.fi) on 2011-02-24T13:47:31Z\nNo. of bitstreams: 2\nURN:NBN:fi:jyu-201102241817.pdf: 995004 bytes, checksum: feed36680c5b63e73992653263755da7 (MD5)\nlicense.html: 4989 bytes, checksum: 62486236cae4017cce79fd32f6200a12 (MD5)", "language": "en", "element": "description", "qualifier": "provenance", "schema": "dc"}, {"key": "dc.description.provenance", "value": "Made available in DSpace on 2011-02-24T13:47:31Z (GMT). No. of bitstreams: 2\nURN:NBN:fi:jyu-201102241817.pdf: 995004 bytes, checksum: feed36680c5b63e73992653263755da7 (MD5)\nlicense.html: 4989 bytes, checksum: 62486236cae4017cce79fd32f6200a12 (MD5)\n Previous issue date: 2011", "language": "en", "element": "description", "qualifier": "provenance", "schema": "dc"}, {"key": "dc.format.extent", "value": "28 sivua", "language": null, "element": "format", "qualifier": "extent", "schema": "dc"}, {"key": "dc.format.mimetype", "value": "application/pdf", "language": null, "element": "format", "qualifier": "mimetype", "schema": "dc"}, {"key": "dc.language.iso", "value": "fin", "language": null, "element": "language", "qualifier": "iso", "schema": "dc"}, {"key": "dc.rights", "value": "In Copyright", "language": "en", "element": "rights", "qualifier": null, "schema": "dc"}, {"key": "dc.subject.other", "value": "Boolen malli", "language": null, "element": "subject", "qualifier": "other", "schema": "dc"}, {"key": "dc.subject.other", "value": "intensiteetti", "language": null, "element": "subject", "qualifier": "other", "schema": "dc"}, {"key": "dc.subject.other", "value": "miinusotanta", "language": null, "element": "subject", "qualifier": "other", "schema": "dc"}, {"key": "dc.subject.other", "value": "pituusjakauma", "language": null, "element": "subject", "qualifier": "other", "schema": "dc"}, {"key": "dc.subject.other", "value": "plusotanta", "language": null, "element": "subject", "qualifier": "other", "schema": "dc"}, {"key": "dc.subject.other", "value": "referenssipisteotanta", "language": null, "element": "subject", "qualifier": "other", "schema": "dc"}, {"key": "dc.subject.other", "value": "sis\u00e4ltymissuhde-estimaattori", "language": null, "element": "subject", "qualifier": "other", "schema": "dc"}, {"key": "dc.subject.other", "value": "viivasegmenttiprosessi", "language": null, "element": "subject", "qualifier": "other", "schema": "dc"}, {"key": "dc.title", "value": "Viivasegmenttiprosessin tunnusten estimointi", "language": null, "element": "title", "qualifier": null, "schema": "dc"}, {"key": "dc.type", "value": "master thesis", "language": null, "element": "type", "qualifier": null, "schema": "dc"}, {"key": "dc.identifier.urn", "value": "URN:NBN:fi:jyu-201102241817", "language": null, "element": "identifier", "qualifier": "urn", "schema": "dc"}, {"key": "dc.type.dcmitype", "value": "Text", "language": "en", "element": "type", "qualifier": "dcmitype", "schema": "dc"}, {"key": "dc.type.ontasot", "value": "Pro gradu -tutkielma", "language": "fi", "element": "type", "qualifier": "ontasot", "schema": "dc"}, {"key": "dc.type.ontasot", "value": "Master\u2019s thesis", "language": "en", "element": "type", "qualifier": "ontasot", "schema": "dc"}, {"key": "dc.contributor.faculty", "value": "Matemaattis-luonnontieteellinen tiedekunta", "language": "fi", "element": "contributor", "qualifier": "faculty", "schema": "dc"}, {"key": "dc.contributor.faculty", "value": "Faculty of Sciences", "language": "en", "element": "contributor", "qualifier": "faculty", "schema": "dc"}, {"key": "dc.contributor.department", "value": "Matematiikan ja tilastotieteen laitos", "language": "fi", "element": "contributor", "qualifier": "department", "schema": "dc"}, {"key": "dc.contributor.department", "value": "Department of Mathematics and Statistics", "language": "en", "element": "contributor", "qualifier": "department", "schema": "dc"}, {"key": "dc.contributor.organization", "value": "University of Jyv\u00e4skyl\u00e4", "language": "en", "element": "contributor", "qualifier": "organization", "schema": "dc"}, {"key": "dc.contributor.organization", "value": "Jyv\u00e4skyl\u00e4n yliopisto", "language": "fi", "element": "contributor", "qualifier": "organization", "schema": "dc"}, {"key": "dc.subject.discipline", "value": "Tilastotiede", "language": "fi", "element": "subject", "qualifier": "discipline", "schema": "dc"}, {"key": "dc.subject.discipline", "value": "Statistics", "language": "en", 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