Search Results - subject:"quadrature formulas"

A note on all-bias designs with applications in spline regression models

Dette, Holger; Melas, Viatcheslav B. - 2008

If a model is fitted to empirical data, bias can arise from terms which are not incorporated in the model assumptions. As a consequence the commonly used optimality criteria based on the generalized variance of the estimate of the model parameters may not lead to efficient designs for the...

Persistent link: https://www.econbiz.de/10010300682

A note on all-bias designs with applications in spline regression models

Dette, Holger; Melas, Viatcheslav B. - Institut für Wirtschafts- und Sozialstatistik, … - 2008

Persistent link: https://www.econbiz.de/10009219865

Optimal designs for 3D shape analysis with spherical harmonic descriptors

Pepelyshev, Andrey; Melas, Viatcheslav B.; Dette, Holger - 2004

We determine optimal designs for some regression models which are frequently used for describing 3D shapes. These models are based on a Fourier expansion of a function defined on the unit sphere in terms of spherical harmonic basis functions. In particular it is demonstrated that the uniform...

Persistent link: https://www.econbiz.de/10010296608

Optimal designs for 3D shape analysis with spherical harmonic descriptors

Pepelyshev, Andrey; Melas, Viatcheslav B.; Dette, Holger - Institut für Wirtschafts- und Sozialstatistik, … - 2004

Persistent link: https://www.econbiz.de/10009219793

Quadrature formulas for matrix measures : a geometric approach

Dette, Holger; Studden, William J. - 2002

A geometric approach to quadrature formulas for matrix measures is presented using the relations between the … representations of the boundary points of the moment space (generated by all matrix measures) and quadrature formulas. Simple proofs … of existence and uniqueness of quadrature formulas of maximal degree of precision are given. Several new quadrature …

Persistent link: https://www.econbiz.de/10009772057