Average quadratic error of the estimate of the first order splines in the model of linear regression

• Date: 1991
• Main Authors: Petunina , M. Yu., Петунина , М. Ю.
• Format: Article
• Language: Russian
• Published: Institute of Mathematics, NAS of Ukraine 1991
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/9628
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

We study the mean quadratic error of an estimate of splines of the first order, which is obtained by the method of least squares under the assumption that the data represents a superposition of proper values of a spline and a white noise. A quantitative formula for the quadratic mean error is found...