Lineāras regresijas modeļu konstruēšanas problēmas

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RESEARCH PRODUCT

Lineāras regresijas modeļu konstruēšanas problēmas

Juris Siņica-siņavskis

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Maģistra darbā aplūkotas lineāras regresijas modeļu konstruēšanas problēmas. Modeļu bāzes funkcijas veidotas no pakāpes monomiem, Jakobi, Čebiševa, Ležandra, Ermita, Lagerra un trigonometriskajiem polinomiem. Maģistra darbā parādīts, ka katru nepārtrauktu funkciju segmentā [a,b] var aproksimēt ar aplūkoto modeļu bāzes funkciju lineāru kombināciju vidējā kvadrātiskā nozīmē ar iepriekš dotu precizitāti. Maģistra darbā uzrādīta tāda novērojumu punktu sistēma, kura aplūkoto lineāras regresijas modeļu normālo vienādojumu sistēmai dod vienu atrisinājumu, kas garantē, ka informācijas matricu var invertēt, un var aprēķināt regresijas koeficientu novērtējumus. Izveidotie lineāras regresijas modeļi aplūkoti uzdevumam par svešķermeņu identifikāciju digitālos pelēkas gradācijas attēlos, tas ir, apskatīta attēlu fragmentu aproksimācija ar dotajiem modeļiem. Atslēgvārdi: plāna matricas rangs lineāri regresijas modeļi informācijas matrica ortogonālie polinomi vidējā kvadrātiskā aproksimācija

year	journal	country	edition	language
2009-01-01

https://dspace.lu.lv/dspace/handle/7/6897

PEPhysical Sciences and Engineering
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SHSocial Sciences and Humanities
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