1、華中師范大學碩士學位論文均值混合正態(tài)分布統(tǒng)計量的性質姓名：熊明申請學位級別：碩士專業(yè)：概率論與數(shù)理統(tǒng)計指導教師：謝民育20040501碩士學位論文MASTER’STHESISABSTRACTBasedonbackgroundingeneticanalysis，thispaperproposesaclassofmeanmixtureofnormaldistribution：，∞／(x)=／竹(x；lnu，∑)dF(p)，J一∞wheren

2、(x；In#，∑)beadensityofx～Ⅳk(1np，E)，F(xiàn)(“)beaweightingfunctionItiSd誑jrent矗omthevariancemixtureofnormaldistribution：，(x)=f刪，扣嘶)刊叫2』””飛訃互1x，x／吶嘶)where竹(x；0，嘉厶)beadensityofx一』％(o，；i。／：。)，u@)beaweightingfunc—tionwhichisdiscussedi

3、nseveralbibliographiesingeneralWeprincipallyconsiderthepropertiesofstatisticsofthemeanmixtureofnormaldistributionItiSshownthatthosestatisticswhichareinvariantundertranslationaltransformationarercbustintheclassofmeanmixtu

4、reofnolTnaldistribution，thatis，thesestatisticshavethesamepropertiesasthoseofnormaldistributionThenthemeanmixtureofnormaldistributionhastheadvantageofeasilytransferringpropertiesenjoyedbynormaldistributionBesides，thedistr