Publikation:

On piecewise polynomial regression under general dependence conditions, with an application to calcium-imaging data

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Beran_245949.pdf
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2013

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Smith, Brian H.

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http://nbn-resolving.de/urn:nbn:de:bsz:352-245949
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https://doi.org/10.1007/s13571-013-0066-3
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Sankhya B. 2013, 76(1), pp. 49-81. ISSN 0976-8386. eISSN 0976-8394. Available under: doi: 10.1007/s13571-013-0066-3

Zusammenfassung

Motivated by the analysis of glomerular time series extracted from calcium-imaging data, asymptotic theory for piecewise polynomial and spline regression with partially free knots and residuals exhibiting three types of dependence structures (long memory, short memory and anti-persistence) is considered. Unified formulas based on fractional calculus are derived for subordinated residual processes in the domain of attraction of a Hermite process. The results are applied to testing for the effect of a neurotransmitter on the response of olfactory neurons in honeybees to odorant stimuli.

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510 Mathematik

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ISO 690BERAN, Jan, Arno WEIERSHÄUSER, C. Giovanni GALIZIA, Julia REIN, Brian H. SMITH, Martin STRAUCH, 2013. On piecewise polynomial regression under general dependence conditions, with an application to calcium-imaging data. In: Sankhya B. 2013, 76(1), pp. 49-81. ISSN 0976-8386. eISSN 0976-8394. Available under: doi: 10.1007/s13571-013-0066-3
BibTex
@article{Beran2013piece-24594,
  year={2013},
  doi={10.1007/s13571-013-0066-3},
  title={On piecewise polynomial regression under general dependence conditions, with an application to calcium-imaging data},
  number={1},
  volume={76},
  issn={0976-8386},
  journal={Sankhya B},
  pages={49--81},
  author={Beran, Jan and Weiershäuser, Arno and Galizia, C. Giovanni and Rein, Julia and Smith, Brian H. and Strauch, Martin}
}
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