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Least absolute deviations problem for the Michaelis-Menten function

  • Kristian Sabo
Published/Copyright: February 28, 2017
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Abstract

In this paper, we consider the problem of the existence of a least absolute deviations estimator for the Michaelis-Menten model function. We give necessary and sufficient conditions under which the least absolute deviations problem has a solution. In order to illustrate the usefulness of such conditions we give several numerical examples.

MSC 2010: 65D10; 65C20; 62J02; 92C45

This work has been supported in part by Croatian Science Foundation under the project IP-11-2013. The author would like thank to Dr. Ivan Soldo (Department of Mathematics, University of Osijek) for his useful comments and remarks. I’m also thankful to anonymous referees for their carefully reading of the paper and insightful comments that helped me improve the paper.



(Communicated by Gejza Wimmer)


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Received: 2014-08-26
Accepted: 2015-02-06
Published Online: 2017-02-28
Published in Print: 2017-03-01

© 2017 Mathematical Institute Slovak Academy of Sciences

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