학술논문

An existence level for the residual sum of squares of the power-law regression with an unknown location parameter
Document Type
research-article
Source
Mathematica Slovaca. 71(4):1019-1026
Subject
nonlinear regression
least squares
existence level
power-law regression
Primary 65D10
65C20
62J02
Regular Papers
Language
English
ISSN
1337-2211
0139-9918
Abstract
In a recent paper [JUKIĆ, D.: A necessary and sufficient criterion for the existence of the global minima of a continuous lower bounded function on a noncompact set, J. Comput. Appl. Math. 375 (2020)], a new existence level was introduced and then was used to obtain a necessary and sufficient criterion for the existence of the global minima of a continuous lower bounded function on a noncompact set. In this paper, we determined that existence level for the residual sum of squares of the power-law regression with an unknown location parameter, and so we obtained a necessary and sufficient condition which guarantee the existence of the least squares estimate.