Sub-popolation Degeneratefrom Mixture Population

Whena mixture population is comprised from highly overlay density function (specially,everydensity has the same expectation),the common statistics treatments will not have goodresults,even will be ineffectual.In this article,first,the basic concepts of mixturetransformation are set up,and the fact that a mixture population density function under atransformation is equal to mix every sub-population density function being individuallytransformed is proved.And then,a method based on degenerated ratio transformation isproposed and illustrated.