|Author's Email Address
||This thesis had been viewed 5217 times. Download 2399 times.|
|Type of Document
||D-optimal designs for weighted polynomial regression - a functional-algebraic approach|
|Date of Defense
||weighted polynomial regression.
approximate D-optimal design
implicit function theorem
||This paper is concerned with the problem of computing theapproximate D-optimal design for polynomial regression with weight function w(x)>0 on the design interval I=[m_0-a,m_0+a]. It is shown that if w'(x)/w(x) is a rational function on I and a is close to zero, then the problem of constructing D-optimal designs can be transformed into a differential equation problem leading us to a certain matrix including a finite number of auxiliary unknown constants, which can be approximated by a Taylor expansion. We provide a recursive algorithm to compute Taylor expansion of these constants. Moreover, the D-optimal |
interior support points are the zeros of a polynomial which has coefficients that can be computed from a linear system.
||Mong-Na Lo Huang - chair|
Mei-Hui Guo - co-chair
Fu-Chuen Chang - advisor
indicate access worldwide|
|Date of Submission