Statistical tests based on N-distances ; Statistinių hipotezių tikrinimas, naudojant N-metrikas

VILNIUS GEDIMINAS TECHNICAL UNIVERSITYINSTITUTE OF MATHEMATICS AND INFORMATICSAleksej BAKŠAJEVSTATISTICAL TESTSBASED ON N-DISTANCESDOCTORAL DISSERTATIONPHYSICAL SCIENCES, MATHEMATICS (01P)Vilnius 2010The scientific work was prepared at Institute of Mathematics and Informatics in2005–2009.Scientific SupervisorProf Dr Habil Rimantas RUDZKIS (Institute of Mathematics and Informatics,Physical Sciences, Mathematics –01P).Scientific ConsultantProf Dr Habil Yurij TYURIN (Lomonosov Moscow State University,Physical Sciences, Mathematics –01P).VGTU leidyklos TECHNIKA 1715-M mokslo literatūros knygahttp://leidykla.vgtu.ltISBN 978-9955-28-535-9© VGTU leidykla TECHNIKA, 2010© Aleksej Baksajev, 2010aleksej.bakshaev@gmail.comVILNIAUS GEDIMINO TECHNIKOS UNIVERSITETASMATEMATIKOS IR INFORMATIKOS INSTITUTASAleksej BAKŠAJEVSTATISTINIŲ HIPOTEZIŲ TIKRINIMAS,NAUDOJANT N-METRIKASDAKTARO DISERTACIJAFIZINIAI MOKSLAI, MATEMATIKA (01P)Vilnius 2010Disertacija rengta 2004–2009 metais Matematikos ir informatikos institute.Mokslinis vadovasprof. habil. dr. Rimantas RUDZKIS (Matematikos ir informatikos institutas,fiziniai mokslai, matematika –01P).Mokslinis konsultantasprof. habil. dr. Yurij TYURIN (Maskvos valstybinis M. V. Lomonosovouniversitetas, fiziniai mokslai, matematika –01P).AbstractThe thesis is devoted to the application of a new class of probability metrics,N-distances, introduced by Klebanov (Klebanov, 2005; Zinger et al.