1. An existence level for the residual sum of squares of the power-law regression with an unknown location parameter
- Author
-
Dragan Jukić and Tomislav Marošević
- Subjects
021103 operations research ,Location parameter ,General Mathematics ,Nonlinear regression ,Least squares ,Existence level ,Power-law regression ,0211 other engineering and technologies ,010103 numerical & computational mathematics ,02 engineering and technology ,01 natural sciences ,Power law ,Regression ,Residual sum of squares ,Applied mathematics ,0101 mathematics ,Mathematics - 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.
- Published
- 2021