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[{"key": "dc.contributor.advisor", "value": "Vihola, Matti", "language": "", "element": "contributor", "qualifier": "advisor", "schema": "dc"}, {"key": "dc.contributor.advisor", "value": "Penttinen, Antti", "language": "", "element": "contributor", "qualifier": "advisor", "schema": "dc"}, {"key": "dc.contributor.advisor", "value": "Suutari, Riku", "language": "", "element": "contributor", "qualifier": "advisor", "schema": "dc"}, {"key": "dc.contributor.author", "value": "Auvinen, Kalle", "language": "", "element": "contributor", "qualifier": "author", "schema": "dc"}, {"key": "dc.date.accessioned", "value": "2020-09-23T06:47:22Z", "language": null, "element": "date", "qualifier": "accessioned", "schema": "dc"}, {"key": "dc.date.available", "value": "2020-09-23T06:47:22Z", "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/123456789/71850", "language": null, "element": "identifier", "qualifier": "uri", "schema": "dc"}, {"key": "dc.description.abstract", "value": "Aikasarjan stabiilisuus on laaja ja moniulotteinen k\u00e4site. Sill\u00e4 voidaan tarkoittaa esimerkiksi aikasarjan synnytt\u00e4neen prosessin matemaattisia ominaisuuksia tai kuvailla havaitun aikasarjan ominaisuuksia ja kehityst\u00e4 tutkitulla aikav\u00e4lill\u00e4. T\u00e4ss\u00e4 tutkielmassa pohditaan aikasarjan stabiilisuuden k\u00e4sitett\u00e4 teollisuusprosessin n\u00e4k\u00f6kulmasta ja esitet\u00e4\u00e4n kolme indikaattoria stabiilien jaksojen m\u00e4\u00e4rittelemiseksi. Menetelm\u00e4 laajennetaan moniulotteisille aikasarjoille p\u00e4\u00e4komponenttianalyysia soveltaen.\nAikasarjan stabiilisuutta tutkitaan kolmen erilaisen stabiilisuuden indikaattorin avulla. Aikasarjan stabiilisuutta mittaavia indikaattoreita ovat prosessin stabiilisuusindeksi (Procces Stability Index, PSI ), stabiilisuussuhdeindikaattori (Stability Ratio, SR) sek\u00e4 perinteinen varianssianalyysi (Analysis of Variance, ANOVA), joiden tulosten perusteella tutkittava otos luokitellaan joko stabiiliksi tai ep\u00e4stabiiliksi. N\u00e4m\u00e4 kolme erillist\u00e4 stabiilisuuden luokitusta yhdistet\u00e4\u00e4n yksitt\u00e4iseksi luokitteluksi tutkittavalle aikasarjan otokselle. Stabiilisuuden indikaattorien toimintaperiaatteiden lis\u00e4ksi tutkielmassa esitell\u00e4\u00e4n indikaattorien taustalla olevaa teoriaa riippumattomille ja normaalijakautuneille aikasarjoille sek\u00e4 tutkitaan indikaattorien k\u00e4ytt\u00e4ytymist\u00e4 simulaatioiden avulla my\u00f6s riippuville havainnoille stationaarisesta AR-prosessista.\nStabiilisuuden indikaattoreita sovelletaan Spinnova Oy:n yksitt\u00e4isen tuotantoprosessin stabiilisuuden analysoimiseen. Tuotantoprosessin erillisist\u00e4 tuotantoerist\u00e4 ja ty\u00f6vaiheista mitatuista muuttujista halutaan selvitt\u00e4\u00e4 niiden stabiloitumisen ajanhetki sek\u00e4 tunnistaa mahdolliset poikkeamat jo stabiloituneista muuttujista. Tuotantoprosessista mitatun aineiston dimension pienent\u00e4miseksi ja koko tuotantoprosessin tilan tulkittavuuden parantamiseksi, yksitt\u00e4isille ty\u00f6vaiheille sovelletaan ensin p\u00e4\u00e4komponenttianalyysi (Principal Component Analysis, PCA), jonka j\u00e4lkeen p\u00e4\u00e4komponenttien stabiilisuutta analysoidaan stabiilisuuden indikaattorien avulla. Stabiilisuustarkastelut toteutetaan p\u00e4\u00e4komponenteista laskettujen otosvarianssien sekvenssien mukaan. Otosvariansseja k\u00e4ytet\u00e4\u00e4n p\u00e4\u00e4komponenttien autokorrelaation v\u00e4hent\u00e4miseksi sek\u00e4 joillain p\u00e4\u00e4komponenteilla esiintyv\u00e4n trendin poistamiseksi.\nP\u00e4\u00e4komponenttien stabiilisuustarkasteluissa havaitaan selke\u00e4 yhdenmukaisuus eri p\u00e4\u00e4komponenttien ja ty\u00f6vaiheiden stabiilisuudessa. Jokainen ty\u00f6vaihe on aluksi ep\u00e4stabiili, mutta ty\u00f6vaiheista muodostetut p\u00e4\u00e4komponentit stabiloituvat l\u00e4hes samanaikaisesti ty\u00f6vaiheiden edetess\u00e4. My\u00f6s yksitt\u00e4iset poikkeamat p\u00e4\u00e4komponenteissa havaitaan stabiilisuuden indikaattorien avulla.", "language": "fi", "element": "description", "qualifier": "abstract", "schema": "dc"}, {"key": "dc.description.provenance", "value": "Submitted by Paivi Vuorio (paelvuor@jyu.fi) on 2020-09-23T06:47:22Z\nNo. of bitstreams: 0", "language": "en", "element": "description", "qualifier": "provenance", "schema": "dc"}, {"key": "dc.description.provenance", "value": "Made available in DSpace on 2020-09-23T06:47:22Z (GMT). No. of bitstreams: 0\n Previous issue date: 2020", "language": "en", "element": "description", "qualifier": "provenance", "schema": "dc"}, {"key": "dc.format.extent", "value": "42", "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": "stabiilisuus", "language": "", "element": "subject", "qualifier": "other", "schema": "dc"}, {"key": "dc.subject.other", "value": "luokittelu", "language": "", "element": "subject", "qualifier": "other", "schema": "dc"}, {"key": "dc.subject.other", "value": "otosvarianssi", "language": "", "element": "subject", "qualifier": "other", "schema": "dc"}, {"key": "dc.subject.other", "value": "p\u00e4\u00e4komponenttianalyysi", "language": "", "element": "subject", "qualifier": "other", "schema": "dc"}, {"key": "dc.title", "value": "Mittareita aikasarjan stabiilisuuden luokitteluun", "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-202009235934", "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.collaborator", "value": "business", "language": "", "element": "contractresearch", "qualifier": "collaborator", "schema": "yvv"}, {"key": "yvv.contractresearch.funding", "value": "4500", "language": "", "element": "contractresearch", "qualifier": "funding", "schema": "yvv"}, {"key": "yvv.contractresearch.initiative", "value": "business", "language": "", "element": "contractresearch", "qualifier": "initiative", "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": "restrictedAccess", "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": "aikasarjat", "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": "aikasarja-analyysi", "language": null, "element": "subject", "qualifier": "yso", "schema": "dc"}, {"key": "dc.subject.yso", "value": "indikaattorit", "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.rights.accessrights", "value": "The author has not given permission to make the work publicly available electronically. Therefore the material can be read only at the archival workstation at Jyv\u00e4skyl\u00e4 University Library (https://kirjasto.jyu.fi/en/workspaces/facilities).", "language": "en", "element": "rights", "qualifier": "accessrights", "schema": "dc"}, {"key": "dc.rights.accessrights", "value": "Tekij\u00e4 ei ole antanut lupaa avoimeen julkaisuun, joten aineisto on luettavissa vain Jyv\u00e4skyl\u00e4n yliopiston kirjaston arkistoty\u00f6semalta. Ks. https://kirjasto.jyu.fi/fi/tyoskentelytilat/laitteet-ja-tilat..", "language": "fi", "element": "rights", "qualifier": "accessrights", "schema": "dc"}, {"key": "dc.type.okm", "value": "G2", "language": null, "element": "type", "qualifier": "okm", "schema": "dc"}]
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