关于Rosenberg问题的一个总体构造

The Structure of Population on the Rosenberg Problem

鉴于Ｒｏｓｅｎｂｅｒｇ问题及统计中的投影寻踪理论，构造了非正态的ｎ维总体密度函数ｆ（ｘ），且其在ｌ（１≤ｌ≤ｎ）维超平面Ｌｉ上的投影密度ｆｉ（Ｚ）为正态密度，其中，１≤ｉ≤Ｎ（Ｎ为任意有限数），当ｉ≠ｊ，１≤ｉ，ｊ≤Ｎ时，Ｌｉ≠Ｌｊ。

In view of the Rosenberg problem and the projection pursuit theory on statistics,the paper structures the density function f(x) of the n dimensional non normal population.On the p(1≤p≤n)dimensional hyperplanes Li (1≤i≤N),its project density functions fi(z) are normality.