次序統(tǒng)計量的相依結(jié)構(gòu)和非齊次指數(shù)隨機變量間隔的多維似然比序.pdf

1、中國科學技術(shù)大學碩士學位論文次序統(tǒng)計量的相依結(jié)構(gòu)和非齊次指數(shù)隨機變量間隔的多維似然比序姓名：陳懷厚申請學位級別：碩士專業(yè)：概率論與數(shù)理統(tǒng)計指導教師：胡太忠20070401AbstractLetXl：n≤磁：n≤≤矗：ndenotetheorderstatisticsofindependentrandomvariablcsX1恐，％withpossiblynonidenticaldistributionsforeacht1For丘】ced

2、1≤jl葛，，then△t(可)蘭P【瑪l：nZt恐2：n現(xiàn)乃柚珥IAmdisincreasingin璣andthatifAtmtpiseither(置：m，)or(置：mS訂，then△10)isdeercasinginifor丘xt!dF童l冉Itisalsoshownthatifeach‰hasncontinuousdistributionfunctionandifA‘，，I，iseither置：m；訂or恐一1：my置：m)，t

3、hen△t(!，)isdecreasingintforfixed譬Z1矗，where％件l：m；∞Inparticular，weobtainthatRTI(為：”I鼉：仍)forj—i≥maxn—moandLTD(瑪：nl恐：m)forj—i≤minn—If#，oWethusextendthemainresultsinBolandeta1(1996)andinHuandXie(2000)LetXt。x2XBbeindependentex

4、ponentialrandomvariablessuchthatXthasfsilureratsAfori=lPand瑪hasfailurerate^for歹；P十1，，l，whereP≥land口=n—p≥1Denoteby聵：“0，?？?=磁：n一k一1：ntheithspacingoftheorderstatisticsXl：n≤jb：nS≤‰：mt=l，，，l，wherexo：n三0Weinvestigatemultivaria

5、tclikelihoodratioorderingsbetweenspacings夙：“(pq)andgeneralizeunivariatecomparisonresultsinWen，LuandHu(2007)WealsopointoutthatsuchmultivariateiikclihoodratioorderingsdonotholdfororderstatisticsinsteadofspacingsKeyWords：Or