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Applied Mathematics and Computation
Article . 2004 . Peer-reviewed
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Article . 2004
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A necessary and sufficient criteria for the existence of the least squares estimate for a 3-parametric exponential function

A necessary and sufficient criteria for the existence of the least squares estimate for a 3-parametric exponential function.
descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 2004 Croatia English Publisher:Elsevier BVJournal:Applied Mathematics and Computation, volume 147, pages 1-17 (issn: 0096-3003, Copyright policy )
Authors: Jukić, Dragan;

doi: 10.1016/s0096-3003(02)00482-4

A necessary and sufficient criteria for the existence of the least squares estimate for a 3-parametric exponential function

Abstract

Given the data (p_i, t_i, y_i), i=1, ..., m, m>=3, we give necessary and sufficient conditions which guarantee the existence of the least squares estimate for a 3-parametric exponential function. To this end, we suggest a choice of the initial approximation and give some numerical examples.

Country
Croatia
Related Organizations
Keywords

fitting, Computational problems in statistics, 3-parametric exponential function, Quadratic programming, nonlinear least squares, Approximation by other special function classes, least squares estimate, Numerical mathematical programming methods, Numerical smoothing, curve fitting, General nonlinear regression, exponential model, 3-parametric exponential function; nonlinear least squares; least squares estimate; existence problem, exponential approximation, existence problem

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
15
Average
Top 10%
Top 10%
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