Piecewise linear approximation methods with stochastic sampling sites

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:329

Article; Proceedings Paper

Li, Junbin¹  Wang, Renhong¹  Xu, Min¹  Fang, Qin² 

[1] Dalian Univ Technol, Sch Math Sci, Dalian 116024, Peoples R China

[2] Dalian Univ, Coll Informat, Dalian 116622, Peoples R China

关键词: Piecewise linear approximation;    Sampling sites;    Normal distribution;   

DOI  :  10.1016/j.cam.2017.02.041

来源: Elsevier

【 摘 要 】

We study a generalization of the classical piecewise linear approximation methods with equally spaced breaks by considering the sampling sites as random variables. The new form methods are motivated by the facts that real-world data collected from what are perceived to be equally spaced sites suffer from random errors due to measurement inaccuracies and other known or unknown factors. We establish error estimates and convergence results under practical assumptions about the distribution of the sampling sites. (C) 2017 Elsevier B.V. All rights reserved.

【 授权许可】

Free