An existence criterion for the nonlinear $$\ell _p$$ ℓ p -norm fitting problem
Dragan Jukić () and
Kristian Sabo ()
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Dragan Jukić: J.J. Strossmayer University of Osijek
Kristian Sabo: J.J. Strossmayer University of Osijek
Central European Journal of Operations Research, 2021, vol. 29, issue 3, No 11, 957-966
Abstract:
Abstract In this paper, we give a necessary and sufficient criterion for the existence of the $$\ell _p$$ ℓ p -norm estimate for the nonlinear $$\ell _p$$ ℓ p -norm fitting problem. Our criterion is based on the existence level that describes the behavior of the objective function as its argument approaches the extended boundary of the parameter space.
Keywords: Nonlinear regression; $$\ell _p$$ ℓ p -norm fitting; Existence level (search for similar items in EconPapers)
Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:spr:cejnor:v:29:y:2021:i:3:d:10.1007_s10100-021-00736-7
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DOI: 10.1007/s10100-021-00736-7
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