✦ LIBER ✦

D-optimal designs for polynomial regression with exponential weight function

✍ Scribed by Fu-Chuen Chang; Hsiu-Ching Chang; Sheng-Shian Wang

Publisher: Springer
Year: 2008
Tongue: English
Weight: 521 KB
Volume: 70
Category: Article
ISSN: 0026-1335
DOI: 10.1007/s00184-008-0195-2

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

D-optimal designs for weighted polynomia

D-optimal designs for weighted polynomial regression

✍ Fu-Chuen Chang; Ge-Chen Lin 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 672 KB

Using an Equivalence Theorem and the theory of Sturm Liouville systems, we determine the D-optimal designs for some classes of weighted polynomial regression of degree d on the interval [-1., 1]. We also show that the number of the optimal support points for such models is d+ 1. and that the optimal

D-optimal designs for weighted polynomia

D-optimal designs for weighted polynomial regression

✍ Zhide Fang 📂 Article 📅 2003 🏛 Elsevier Science 🌐 English ⚖ 214 KB

By utilizing the equivalence theorem and Descartes's rule of signs, we construct D-optimal designs for a weighted polynomial regression model of degree k, with speciÿc weight function w(x) = 1=(a 2 -x 2 ) , on the compact interval [ -1; 1]. The main result shows that in most cases, the number of sup

D-Optimal designs for weighted polynomia

D-Optimal designs for weighted polynomial regression—A functional approach

✍ Fu-Chuen Chang 📂 Article 📅 2005 🏛 Springer Japan 🌐 English ⚖ 635 KB

On Minimally-supportedD-optimal Designs

On Minimally-supportedD-optimal Designs for Polynomial Regression with Log-concave Weight Function

✍ Fu-Chuen Chang; Hung-Ming Lin 📂 Article 📅 2006 🏛 Springer 🌐 English ⚖ 162 KB

Exact D-optimal designs for weighted pol

Exact D-optimal designs for weighted polynomial regression model

✍ Ray-Bing Chen; Mong-Na Lo Huang 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 137 KB

In this work, the exact D-optimal designs for weighted polynomial regression are investigated. In Ga ke (1987, J. Statist. Planning Inference 15, 189 -204) a su cient condition has been given that Salaeveski Ä i's type of result about the exact D-optimal designs holds when sample size n is large eno

Bayesian D-optimal designs for exponenti

Bayesian D-optimal designs for exponential regression models

✍ Holger Dette; H.-M. Neugebauer 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 875 KB

We consider the Bayesian D-optimal design problem for exponential growth models with one. two or three parameters. For the one-parameter model conditions on the shape of the density of the prior distribution and on the range of its support are given guaranteeing that a one-point design is also Bayes