實(shí)驗(yàn)總時(shí)間序與次序統(tǒng)計(jì)量的隨機(jī)比較.pdf

1、蘭州大學(xué)博士學(xué)位論文實(shí)驗(yàn)總時(shí)間序與次序統(tǒng)計(jì)量的隨機(jī)比較姓名：王雅實(shí)申請(qǐng)學(xué)位級(jí)別：博士專業(yè)：數(shù)學(xué)、應(yīng)用數(shù)學(xué)指導(dǎo)教師：李效虎20090501AbstractAbstractStochasticcomparisonisveryusefulinappliedprobabilitystatistics，reliabilityactuaryscience，andotherfields，andstochasticordersalsoplayveryi

2、mportantroleGeneralizedorderstatistics(GOS’S，forshort)areasubclassofsequentialorderstatistics，andcontainavarietyofmodelsoforderedrandomvariablesoftenusedinprobabilityandstatistics，eg，ordinaryorderstatistics，recordvalues，

3、krecordvalues，Pfeller’Srecordmodel，progressivetypeIIcensoredorderstatistics，orderstatisticsundermultivariateimperfectrepair，andSOonThisthesisfocusesOilSOmeintrinsicpropertiesoftotaltimeontest(ttt)orders，itsdualordersands

4、tochasticcompariSOnsofGOS’SanditsspecialmodelsFirstlyweredefinethetttorderwhichenablesonetocompareunnecessarilynonnegativerandomvariablesAnewpartialorder(≤dttt)isalsointroduced，whichcallberegardedasthedualoftheorder2：Ont

5、heotherhand，themultivariateusualstochasticorderingsareestablishedfororderstatisticsfromindependent(withpossiblynonidenticaldistributions)randomvariable；andthemultivariatelikelihoodratioorderingsoforderstatisticscondition