Some multivariate linear regression testing problems with additional observations

Bayesian regression with multivariate linear splines

Some Modifications to Calculate Regression Coefficients in Multiple Linear Regression

In a multiple linear regression model, there are instances where one has to update the regression parameters. In such models as new data become available, by adding one row to the design matrix, the least-squares estimates for the parameters must be updated to reflect the impact of the new data. We will modify two existing methods of calculating regression coefficients in multiple linear regres...

Permutation Testing in Multivariate Regression Trees

Formal testing procedures are generally not available for determining which splits in a regression tree are significant. Such a procedure is presented using permutation testing applied to order statistics. Finally, traditional cross validation and the permutation testing procedure are compared in a specific example.

Simultaneous Confidence Tubes in Multivariate Linear Regression

Simultaneous confidence bands have been shown in the statistical literature as powerful inferential tools in univariate linear regression. While the methodology of simultaneous confidence bands for univariate linear regression has been extensively researched and well developed, no published work seems available for multivariate linear regression. This paper fills this gap by studying one partic...

From Multivariate to Functional Linear Regression

Abstract. The aim of this contribution is to present a new, however rapidly developing domain of statistics – functional data analysis (FDA). A particular problem of extending multivariate regression to the functional setting is discussed. First of all, two real data sets and connected problems are presented. Multivariate regression is briefly recalled focusing mainly on the case of strongly co...