EXISTENCE RESULTS FOR SPECIAL NONLINEAR TOTAL LEAST-SQUARES PROBLEM

Authors
JUKIC D SCITOVSKI R
Citation
D. Jukic et R. Scitovski, EXISTENCE RESULTS FOR SPECIAL NONLINEAR TOTAL LEAST-SQUARES PROBLEM, Journal of mathematical analysis and applications (Print), 226(2), 1998, pp. 348-363
Citations number
16
Categorie Soggetti
Mathematics,Mathematics,Mathematics,Mathematics
Journal title
Journal of mathematical analysis and applications (Print) → ACNP
ISSN journal
0022247X
Volume
226
Issue
2
Year of publication
1998
Pages
348 - 363
Database
ISI
SICI code
0022-247X(1998)226:2<348:ERFSNT>2.0.ZU;2-U
Abstract
In this paper we prove an existence theorem for a special nonlinear to tal least squares problem. We show that the optimal parameters of the generalized logistic function exist in the sense of total least square s, provided the data satisfy the Chebyshev's inequality. (C) 1998 Acad emic Press.