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The Mathematics of the Uncertain pp 101–108Cite as

The Spiking Problem in the Context of the Isotonic Regression

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Part of the book series: Studies in Systems, Decision and Control ((SSDC,volume 142))

Abstract

The usual estimators of the regression under isotonicity are known to present the so-called spiking problem, that is, they are very sensitive at the tails. Three design-based strategies in order to alleviate this effect are discussed. The proposed strategies will provide uniform consistency on the (closed and bounded) working interval. Firstly, the usual isotonic regression with a suitable number of observations at the edges of the interval is considered. Secondly, a reallocation of part of the edge observations at some artificial adjacent points is suggested. Finally, a strategy based on constraining the isotonic regression to take values within some horizontal bands is investigated. Simulation studies illustrate the performance of the proposed estimators in practice.

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Author information

Authors and Affiliations

  1. Dpto. de Estadística e I.O. y D.M., Universidad de Oviedo, 33007, Oviedo, Spain

    Ana Colubi, J. Santos Domínguez-Menchero & Gil González-Rodríguez

Authors
  1. Ana Colubi
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  2. J. Santos Domínguez-Menchero
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  3. Gil González-Rodríguez
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Corresponding author

Correspondence to Ana Colubi .

Editor information

Editors and Affiliations

  1. Liberbank, Oviedo, Spain

    Eduardo Gil

  2. Viajes El Corte Inglés, Oviedo, Spain

    Eva Gil

  3. Funl Media, Oxford, United Kingdom

    Juan Gil

  4. Departamento de Estadística e Investigación Operativa y Didáctica de la Matemática, Facultad de Ciencias, Universidad de Oviedo, Oviedo, Spain

    María Ángeles Gil

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Colubi, A., Domínguez-Menchero, J.S., González-Rodríguez, G. (2018). The Spiking Problem in the Context of the Isotonic Regression. In: Gil, E., Gil, E., Gil, J., Gil, M. (eds) The Mathematics of the Uncertain. Studies in Systems, Decision and Control, vol 142. Springer, Cham. https://doi.org/10.1007/978-3-319-73848-2_9

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  • DOI: https://doi.org/10.1007/978-3-319-73848-2_9

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-73847-5

  • Online ISBN: 978-3-319-73848-2

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