多面且平滑的多變量迴歸

標題:	多面且平滑的多變量迴歸 MULTIVARIATE REGRESSION SPLINE
作者:	柯文柔 Wen-Rou Ke 陳鄰安 Lin-An Chen 應用數學系所
關鍵字:	多面且平滑的多變量迴歸; 限制式最小平方法; 限制式矩陣; 節點;;Multivariate Regression Splines; Restricted Least Squares; Restriction Matrix; Knot;
公開日期:	1992
摘要:	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.
URI:	http://140.113.39.130/cdrfb3/record/nctu/#NT810507027 http://hdl.handle.net/11536/57130
顯示於類別：	畢業論文