Optimal design for prediction in multiresponse linear models based on rectangular confidence region

نویسندگان

  • Xin Liu
  • Rong-Xian Yue
چکیده

This paper proposes a class of optimal design criteria for prediction in linear regression models with r responses based on the volume of the rectangular confidence region, termed RL-optimality. A general equivalence theorem and a geometrical characterization of the RL r -optimal design are established, which are used to obtain or verify the RL r optimality. Several examples are given for illustration. & 2013 Elsevier B.V. All rights reserved.

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

New Optimal Observer Design Based on State Prediction for a Class of Non-linear Systems Through Approximation

This paper deals with the optimal state observer of non-linear systems based on a new strategy. Despite the development of state prediction in linear systems, state prediction for non-linear systems is still challenging. In this paper, to obtain a future estimation of the system states, initially Taylor series expansion of states in their receding horizons was achieved to any specified order an...

متن کامل

Computing Optimal Designs of multiresponse Experiments reduces to Second-Order Cone Programming

Elfving’s Theorem is a major result in the theory of optimal experimental design, which gives a geometrical characterization of c−optimality. In this paper, we extend this theorem to the case of multiresponse experiments, and we show that when the number of experiments is finite, the c−, A−, T− and D−optimal design of multiresponse experiments can be computed by Second-Order Cone Programming (S...

متن کامل

Process Improvement of Experimental Measurements Using D-optimal Models

In this paper, the application of D-optimal models, as an alternative to response surface models (RS models) for design of experiment (DOE) was examined. Two D-optimal models for tilt-rotors in the wind tunnel experiment, as a form of quadratic functions, were generated based on a chosen optimality criterion. This optimality criterion was used to generate the optimized sampled points in the des...

متن کامل

Large amplitude vibration prediction of rectangular plates by an optimal artificial neural network (ANN)

In this paper, nonlinear equations of motion for laminated composite rectangular plates based on the first order shear deformation theory were derived. Using a perturbation method, the nonlinear equation of motion was solved and analytical relations were obtained for natural and nonlinear frequencies. After proving the validity of the obtained analytical relations, as an alternative and simple ...

متن کامل

A Nonlinear Model of Economic Data Related to the German Automobile Industry

Prediction of economic variables is a basic component not only for economic models, but also for many business decisions. But it is difficult to produce accurate predictions in times of economic crises, which cause nonlinear effects in the data. Such evidence appeared in the German automobile industry as a consequence of the financial crisis in 2008/09, which influenced exchange rates and a...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2013