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[{"key": "dc.contributor.advisor", "value": "Vihola, Matti", "language": "", "element": "contributor", "qualifier": "advisor", "schema": "dc"}, {"key": "dc.contributor.advisor", "value": "Myllym\u00e4ki, Mari", "language": "", "element": "contributor", "qualifier": "advisor", "schema": "dc"}, {"key": "dc.contributor.author", "value": "Kostensalo, Joel", "language": "", "element": "contributor", "qualifier": "author", "schema": "dc"}, {"key": "dc.date.accessioned", "value": "2020-10-27T07:37:37Z", "language": null, "element": "date", "qualifier": "accessioned", "schema": "dc"}, {"key": "dc.date.available", "value": "2020-10-27T07:37:37Z", "language": null, "element": "date", "qualifier": "available", "schema": "dc"}, {"key": "dc.date.issued", "value": "2020", "language": "", "element": "date", "qualifier": "issued", "schema": "dc"}, {"key": "dc.identifier.uri", "value": "https://jyx.jyu.fi/handle/123456789/72345", "language": null, "element": "identifier", "qualifier": "uri", "schema": "dc"}, {"key": "dc.description.abstract", "value": "T\u00e4ss\u00e4 tutkielmassa tutkittiin puiden pituusmallintamista Bayes-tilastotieteeseen perustuen. Aineistona k\u00e4ytettiin Parkanossa sijaitsevista m\u00e4ntykokeista tehtyj\u00e4 mittauksia. Metsikk\u00f6 on perustettu vuonna 1929 ja puuston mittaukset on tehty kev\u00e4\u00e4ll\u00e4 1963, syksyll\u00e4 1968 ja 1975, kev\u00e4\u00e4ll\u00e4 1987 ja syksyll\u00e4 1999, 2006 ja 2011. Pituuden ja l\u00e4pimitan todettiin olevan puutasolla korreloituneita mittauskertojen v\u00e4lill\u00e4. Toisin sanoen keskim\u00e4\u00e4r\u00e4ist\u00e4 ohuemmat tai paksummat puut olivat todenn\u00e4k\u00f6isesti my\u00f6s tulevaisuudessa keskim\u00e4\u00e4r\u00e4ist\u00e4 ohuempia tai paksumpia. Niinp\u00e4 puutason satunnaisvaikutus todettiin tarpeelliseksi mallinnuksessa, kun samasta puusta on k\u00e4yt\u00f6ss\u00e4 useita mittauksia. Mallinnus perustui N\u00e4slundin pituusk\u00e4yr\u00e4\u00e4n, jonka parametrien tarkastelu ajan funktiona osoitti, ett\u00e4 mallin vakiotermin\u00e4 toimivalla parametrilla b0 ei ole selke\u00e4\u00e4 aikariippuvuutta, mutta l\u00e4pimittaan liittyv\u00e4n parametrin b1 arvon havaittiin pienenev\u00e4n mets\u00e4n varttuessa.\n\nMallien posteriorikeskiarvojen m\u00e4\u00e4r\u00e4ytymist\u00e4 pienell\u00e4 m\u00e4\u00e4r\u00e4ll\u00e4 mittauksia tutkittiin valitsemalla aineistosta 100 kertaa kolme satunnaista puuta, joiden mittauksiin perustuen parametrien posteriorikeskiarvot m\u00e4\u00e4ritettiin. Jopa hyvin heikon prioritiedon todettiin tarkentavan estimointia tasaamalla huonosta koepuiden valintaonnesta johtuvia poikkeuksellisia parametrien arvoja. Lis\u00e4ksi Bayes-mallin pituusestimaattien todettiin tarkentuvan nopeasti, kun k\u00e4ytett\u00e4viss\u00e4 on my\u00f6s aiempien vuosien mittauksia. Vertailukohtana k\u00e4ytetty linearisointiin perustuva malli osoittautui selv\u00e4sti herkemm\u00e4ksi poikkeaville havainnoille. Lis\u00e4ksi asiantuntijatiedon tuominen mukaan parametrien rajaukseen k\u00e4y varsin luontevasti Bayes-mallissa, jolloin muutamalla puulla tehdyt sovitukset eiv\u00e4t ole alttiita poikkeaville havainnoille samassa m\u00e4\u00e4rin kuin pelk\u00e4st\u00e4\u00e4n mittausdataan perustuvissa malleissa.", "language": "fi", "element": "description", "qualifier": "abstract", "schema": "dc"}, {"key": "dc.description.provenance", "value": "Submitted by Paivi Vuorio (paelvuor@jyu.fi) on 2020-10-27T07:37:37Z\nNo. of bitstreams: 0", "language": "en", "element": "description", "qualifier": "provenance", "schema": "dc"}, {"key": "dc.description.provenance", "value": "Made available in DSpace on 2020-10-27T07:37:37Z (GMT). No. of bitstreams: 0\n Previous issue date: 2020", "language": "en", "element": "description", "qualifier": "provenance", "schema": "dc"}, {"key": "dc.format.extent", "value": "44", "language": "", "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": "N\u00e4slund", "language": "", "element": "subject", "qualifier": "other", "schema": "dc"}, {"key": "dc.title", "value": "N\u00e4slundin pituusk\u00e4yr\u00e4\u00e4n perustuvia Bayes-malleja puun l\u00e4pimitan ja pituuden v\u00e4liselle riippuvuudelle", "language": "", "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-202010276394", "language": "", "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": "Jyv\u00e4skyl\u00e4n yliopisto", "language": "fi", "element": "contributor", "qualifier": "organization", "schema": "dc"}, {"key": "dc.contributor.organization", "value": "University of Jyv\u00e4skyl\u00e4", "language": "en", "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": "yvv.contractresearch.funding", "value": "0", "language": "", "element": "contractresearch", "qualifier": "funding", "schema": "yvv"}, {"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": "", "element": "subject", "qualifier": "oppiainekoodi", "schema": "dc"}, {"key": "dc.subject.yso", "value": "puusto", "language": null, "element": "subject", "qualifier": "yso", "schema": "dc"}, {"key": "dc.subject.yso", "value": "parametrit", "language": null, "element": "subject", "qualifier": "yso", "schema": "dc"}, {"key": "dc.subject.yso", "value": "tilastotiede", "language": null, "element": "subject", "qualifier": "yso", "schema": "dc"}, {"key": "dc.subject.yso", "value": "metsik\u00f6t", "language": null, "element": "subject", "qualifier": "yso", "schema": "dc"}, {"key": "dc.subject.yso", "value": "pituus", "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", "qualifier": "okm", "schema": "dc"}]
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