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[{"key": "dc.contributor.author", "value": "Itkonen, Joonas", "language": null, "element": "contributor", "qualifier": "author", "schema": "dc"}, {"key": "dc.date.accessioned", "value": "2014-09-23T06:09:19Z", "language": null, "element": "date", "qualifier": "accessioned", "schema": "dc"}, {"key": "dc.date.available", "value": "2014-09-23T06:09:19Z", "language": null, "element": "date", "qualifier": "available", "schema": "dc"}, {"key": "dc.date.issued", "value": "2014", "language": null, "element": "date", "qualifier": "issued", "schema": "dc"}, {"key": "dc.identifier.other", "value": "oai:jykdok.linneanet.fi:1445964", "language": null, "element": "identifier", "qualifier": "other", "schema": "dc"}, {"key": "dc.identifier.uri", "value": "https://jyx.jyu.fi/handle/123456789/44319", "language": null, "element": "identifier", "qualifier": "uri", "schema": "dc"}, {"key": "dc.description.abstract", "value": "Polynomiset kvantiilisekoitukset on yhden muuttujan parametrinen malliperhe, jossa\nmallinnetaan jakauman kvantiilifunktio lineaarikombinaationa ns. pohjajakauman\nkvantiilifunktiosta ja toisen asteen polynomista. T\u00e4m\u00e4 generoi tiettyjen ehtojen\nt\u00e4yttyess\u00e4 todenn\u00e4k\u00f6isyysjakauman. T\u00e4llaisen mallin idea on lis\u00e4t\u00e4 pohjajakaumaan\nesimerkiksi vinous- ja huipukkuuskomponentteja kvantiilifunktioon lis\u00e4tyn\npolynomin muodossa.\nKvantiilisekoitusmallia voi soveltaa elinaikojen mallinnukseen mallintamalla elinaikojen\nlogaritmia t\u00e4llaisilla kvantiilisekoituksilla. T\u00e4m\u00e4 antaa eksponenttimuunnoksella\nmallin alkuper\u00e4iselle elinaikajakaumalle. Logaritmiskaalan pohjafunktioksi voidaan\nvalita esimerkiksi normaalijakauma, logaritminen eksponenttijakauma tai logaritminen\nGamma(1,2)-jakauma, joiden generoimat elinaikaskaalan mallit saavat\nnimet lognormaali-polynominen, eksponentti-polynominen ja gamma-polynominen\nkvantiilisekoitus.\nHuomataan, ett\u00e4 n\u00e4iden mallien parametrit voidaan estimoida esimerkiksi niin sanottujen\nL-momenttien avulla, suurimman uskottavuuden menetelm\u00e4n tai kvantiilifunktioon\nsovelletun pienimm\u00e4n neli\u00f6summan menetelm\u00e4n avulla. Simuloimalla\njakaumia ja vertaamalla niit\u00e4 Weibull-jakaumaan n\u00e4hd\u00e4\u00e4n, ett\u00e4 lognormaalipolynominen\nmalli voi olla heikohko elinaikojen mallinnuksessa, mutta kaksi viimeist\u00e4\ntoimivat paremmin, ja ne ovat varsin joustavia malleja, joilla voi mallintaa hyvin\nerilaisia elinaika-aineistoja. Erityisesti havaitaan, ett\u00e4 eksponentti-polynominen\nmalli yleist\u00e4\u00e4 Weibull-jakauman.\nSoveltamalla n\u00e4it\u00e4 malleja suomalaisten k\u00e4yt\u00f6ss\u00e4 olevien matkapuhelinten ik\u00e4rakennetta\nkuvaavaan aineistoon n\u00e4hd\u00e4\u00e4n muun muassa, ett\u00e4 vanhemmilla ihmisill\u00e4\nk\u00e4yt\u00f6ss\u00e4 olevat puhelimet ovat keskim\u00e4\u00e4rin vanhempia.", "language": "fi", "element": "description", "qualifier": "abstract", "schema": "dc"}, {"key": "dc.description.provenance", "value": "Submitted using Plone Publishing form by Joonas Itkonen (jotaitko) on 2014-09-23 06:09:19.002997. Form: Pro gradu -lomake (https://kirjasto.jyu.fi/julkaisut/julkaisulomakkeet/pro-gradu-lomake). JyX data: [jyx_publishing-allowed (fi) =True]", "language": "en", "element": "description", "qualifier": "provenance", "schema": "dc"}, {"key": "dc.description.provenance", "value": "Submitted by jyx lomake-julkaisija (jyx-julkaisija@noreply.fi) on 2014-09-23T06:09:19Z\nNo. of bitstreams: 2\nURN:NBN:fi:jyu-201409232847.pdf: 661332 bytes, checksum: 0196d77f7801ff6bc7a08ede5fb21c38 (MD5)\nlicense.html: 4807 bytes, checksum: 39b7b02cbbb85e0230362db6919b95cf (MD5)", "language": "en", "element": "description", "qualifier": "provenance", "schema": "dc"}, {"key": "dc.description.provenance", "value": "Made available in DSpace on 2014-09-23T06:09:19Z (GMT). No. of bitstreams: 2\nURN:NBN:fi:jyu-201409232847.pdf: 661332 bytes, checksum: 0196d77f7801ff6bc7a08ede5fb21c38 (MD5)\nlicense.html: 4807 bytes, checksum: 39b7b02cbbb85e0230362db6919b95cf (MD5)\n Previous issue date: 2014", "language": "en", "element": "description", "qualifier": "provenance", "schema": "dc"}, {"key": "dc.format.extent", "value": "1 verkkoaineisto (58 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": "kvantiilifunktio", "language": null, "element": "subject", "qualifier": "other", "schema": "dc"}, {"key": "dc.subject.other", "value": "kvantiilisekoitus", "language": null, "element": "subject", "qualifier": "other", "schema": "dc"}, {"key": "dc.subject.other", "value": "lognormaali", "language": null, "element": "subject", "qualifier": "other", "schema": "dc"}, {"key": "dc.title", "value": "Elinaikojen mallinnus kvantiilisekoitusten avulla", "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-201409232847", "language": null, "element": "identifier", "qualifier": "urn", "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", "element": "subject", "qualifier": "discipline", "schema": "dc"}, {"key": "dc.date.updated", "value": "2014-09-23T06:09:20Z", "language": null, "element": "date", "qualifier": "updated", "schema": "dc"}, {"key": "dc.type.coar", "value": "http://purl.org/coar/resource_type/c_bdcc", "language": null, "element": "type", "qualifier": "coar", "schema": "dc"}, {"key": "dc.rights.accesslevel", "value": "openAccess", "language": null, "element": "rights", "qualifier": "accesslevel", "schema": "dc"}, {"key": "dc.type.publication", "value": "masterThesis", "language": null, "element": "type", "qualifier": "publication", "schema": "dc"}, {"key": "dc.subject.oppiainekoodi", "value": "4043", "language": null, "element": "subject", "qualifier": "oppiainekoodi", "schema": "dc"}, {"key": "dc.subject.yso", "value": "elinaika", "language": null, "element": "subject", "qualifier": "yso", "schema": "dc"}, {"key": "dc.subject.yso", "value": "elinaika-analyysi", "language": null, "element": "subject", "qualifier": "yso", "schema": "dc"}, {"key": "dc.subject.yso", "value": "eksponenttifunktiot", "language": null, "element": "subject", "qualifier": "yso", "schema": "dc"}, {"key": "dc.subject.yso", "value": "matkapuhelimet", "language": null, "element": "subject", "qualifier": "yso", "schema": "dc"}, {"key": "dc.subject.yso", "value": "parametrit", "language": null, "element": "subject", "qualifier": "yso", "schema": "dc"}, {"key": "dc.format.content", "value": "fulltext", "language": null, "element": "format", "qualifier": "content", "schema": "dc"}, {"key": "dc.rights.url", "value": "https://rightsstatements.org/page/InC/1.0/", "language": null, "element": "rights", "qualifier": "url", "schema": "dc"}, {"key": "dc.type.okm", "value": "G2", "language": null, "element": "type", 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