臺灣博碩士論文加值系統

本文中我們討論兩種任意K次多面且平滑的多變量迴歸模式.在參數空間
上,我們建立的線性限制式能在相鄰兩個區域上滿足自由度j連續的條件,
並且我們可以利用"限制式最小平方估計法"來計算此多面且平滑的多變量
迴歸估計式.

We purpose two types of multivariate regression model of
arbitary polynomial order k. The linear restrictions on the
parameter spa- ce that fulfill the degree j continuity of
neighboring multivari- ate polynomials are derived and then the
multivariate regression splines can be obtained by using the
restricted least squares es- timator of regression parameters.