Work

Locally D -optimal designs for a class of generalized functional measurement error models

Year: 2026

Type: article

Abstract: This paper investigates the optimal design problem for a class of generalized functional measurement error models, in which some covariates contain measurement errors. Utilizing the locally D-optimality criterion, an equivalence theorem is established to verify the optimality of a given design. Furthermore, it is demonstrated that local D-optimal designs for such models can be derived explicitly. Specifically, under certain sufficient conditions, the locally D-optimal design for the generalized functional measurement error model can be expressed as the product of the designs for the corresponding measurement error model and the classical regression model. Two examples are provided to illustrate these theoretical results.

Source: Statistical Theory and Related Fields

DOI: 10.1080/24754269.2026.2755105

Authors: Min-Jue Zhang, Rong-Xian Yue

Institutions: Jiangsu University of Technology, Shanghai Normal University, Fuyao University of Science and Technology

Language: English

Topic: Optimal Experimental Design Methods

Subfield: Management Science and Operations Research

Field: Decision Sciences

Domain: Social Sciences

Open Access status: diamond

OpenAlex ID: W7225641121

FWCI:

Cites: 18

Cited by:

Related to: