正态总体下样本均值与样本方差独立性的四种证明方法-张明峰

2014－12－1211426057ZＲ2012AL051977—。[e-mail]121．2530232．253023。。O212A1008－3871201504－0038－0320157254JOUＲNALOFYULINUNIVEＲSITYJuly．2015Vol．25No．4·93·3．．56·04·201541207．MATLABM．2012．8．AEB/OL．2014－05－202014－10－10．ht-tp//．tzmcm．cn/．9．MATLAB7．0M．2010．10《》．M．2005．11．M．2008．TheＲesearchonＲiskAssessmentModelOptimizationofLandＲeserveProgramYINJian1ZHUJia－ming21．BusinessInstituteAnhuiUniversityofFinanceandEconomicsBengbu233041China2．InstituteofStatisticsandAppliedMathematicsAnhuiUniversityofFinanceandEconomicsBengbu233000ChinaAbstractAimingattheproblemthattheriskforChineselandreservesislargerbuttheevaluationstandardsys-temoflandreserveplanisnotperfectaccordingtothedatafromareportofaprovinciallandreservecenterthemathematicalmodelofcomprehensiveevaluationandregressionanalysisisestablished．Itisconcludedthatincreas-ingtheirexpectedyieldby0．2698unitsand1．0828unitlimitthebankapprovallimitwillreduceby0．0371u-nits．Atthesametimeitisbettertoassesstheriskofthelandreserveprojectwhenestablishingindexsystemofthelimittoapplyforloansthebankapprovallimitexpectedyieldandtheprojecttotalinvestmentestimation．KeywordsriskassessmentcomprehensiveevaluationmethodcoefficientofvariationregressionanalysisMAT-檸檸檸檸檸檸檸檸檸檸檸檸檸檸檸檸檸檸檸檸檸檸檸檸檸檸檸檸檸檸檸檸檸檸檸檸檸檸檸檸檸檸檸檸檸檸LAB40．。1．M．2008．2．M．1999．3．J．199010121－22．4．M．2004．5．M．2013．FourProofsofIndependenceofSampleMeanandSampleVarianceundertheNormalPopulationZHANGMing－feng1ZHOUXiao－shuang21．DepartmentofScienceandTechnologyDezhouUniversityDezhou253023China2．SchoolofMathematicalSciencesDezhouUniversityDezhou253023ChinaAbstractTheindependenceofsamplemeanandsamplevarianceunderthenormalpopulationisaveryimportanttheoremintheteachingofmathematicalstatistics．Inthispaperwegivetheproofsoftheconclusionfromfouras-pectsincludingtheconstructionofaspecialmatrixconditionoftheindependenceofthequadraticformandthelineartransformofanormalrandomvectorcharacteristicfunctionandmomentgeneratingfunction．Keywordssamplemeansamplevarianceindependencenormalpopulation·65·20154120