增長曲線模型的參數(shù)估計與估計的可容許性.pdf

1、東南大學(xué)碩士學(xué)位論文增長曲線模型的參數(shù)估計與估計的可容許性姓名：張景華申請學(xué)位級別：碩士專業(yè)：概率論與數(shù)理統(tǒng)計指導(dǎo)教師：朱道元20031201IIAbstractTheparameterestimationanditspropertyarethefocusofthelinearmodelthe—crywhenchoosealienarestimator(LE1wealwaysexpectaunbiasedonewiththeleastd

2、eviationtoimprovethe”accuracy”Thatleadtotileneedtofindthe”bestleastunbiasedestimator(BLUE卜Ontheotherhand，withtheprogressofthestatisticaldecisiontheoryandthepresentationoflOSSfunctionandriskfunction，thequestionofadmissibi

3、li押hasemergedandtherehasbeenlotofachivementsThegrowthcurvemodelcomesfrolnthereserehworkOncreature’sgrowthSinceitspresentationin1960’S，manystatisticianshasmadelotsofresearchworkMypaperfocusOilthediscus—siontheBLUEandthead

4、missibilityofthelinearfunctionoftheparametermatrixofthismodelIncharpter2firstweintroducedSOlrleavailableresultsabouttileLE：SformandpropertyofsuchmodelthenwegottheBLUE1Sformandtwoforillsofunbiasedes—timatorof02thenweproof

5、edthatthetwoformsof02areequalalmosteverywhereThuswegeneralized、’uShenhua&HeCanzhi；SresultstothewidestscopeIncharpter3underSOHlelimitsiUthecoviancematrix、wegetthenecessary—sufficentconditionofLE’Sadmissibilityfortimlinear