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Extended Abstracts Fall 2015 pp 29–34Cite as

Birkhäuser

Applying INAR-Hidden Markov Chains in the Analysis of Under-Reported Data

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Part of the book series: Trends in Mathematics ((RPCRMB,volume 7))

Abstract

We present a model for under-reported time series count data in which the underlying process satisfy an INAR(1) structure. Parameters are estimated through a naïve method based on the theoretical expression of the autocorrelation function of the underlying process, and also by means of the forward algorithm. The hidden process is reconstructed using the Viterbi algorithm, and a real data example is discussed.

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Author information

Authors and Affiliations

  1. Departament de Matemàtiques, Universitat Autònoma de Barcelona, Bellaterra, Spain

    Amanda Fernández-Fontelo, Alejandra Cabaña & Pedro Puig

  2. Unit of Infections and Cancer (UNIC), Cancer Epidemiology Research Program (CERP), Catalan Institute of Oncology (ICO)-IDIBELL, L’Hospitalet de Llobregat, Barcelona, Spain

    David Moriña

  3. ISGlobal, Centre for Research in Environmental Epidemiology (CREAL), Barcelona, Spain

    David Moriña

  4. Universitat Pompeu Fabra (UPF), Barcelona, Spain

    David Moriña

  5. CIBER Salud Pública y Epidemiología, Barcelona, Spain

    David Moriña

Authors
  1. Amanda Fernández-Fontelo
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  2. Alejandra Cabaña
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  3. Pedro Puig
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  4. David Moriña
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Corresponding author

Correspondence to Amanda Fernández-Fontelo .

Editor information

Editors and Affiliations

  1. Chemical and Environmental Hazards, Public Health England, Chilton, United Kingdom

    Elizabeth A. Ainsbury

  2. Departament de Biociències, Universitat Central de Catalunya, Vic, Spain

    M.Luz Calle

  3. Campus Mar, ISGlobal, Barcelona, Spain

    Elisabeth Cardis

  4. Mathematical Sciences, Durham University, Durham, United Kingdom

    Jochen Einbeck

  5. Estadística i Investigació Operativa, Universitat Politècnica de Catalunya, Barcelona, Spain

    Guadalupe Gómez

  6. Departament de Matemàtiques, Universitat Autònoma de Barcelona, Barcelona, Spain

    Pere Puig

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© 2017 Springer International Publishing AG

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Cite this paper

Fernández-Fontelo, A., Cabaña, A., Puig, P., Moriña, D. (2017). Applying INAR-Hidden Markov Chains in the Analysis of Under-Reported Data. In: Ainsbury, E., Calle, M., Cardis, E., Einbeck, J., Gómez, G., Puig, P. (eds) Extended Abstracts Fall 2015. Trends in Mathematics(), vol 7. Birkhäuser, Cham. https://doi.org/10.1007/978-3-319-55639-0_5

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