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Demography and Health Issues pp 143–153Cite as

Stochastic Distance Between Burkitt Lymphoma/Leukemia Strains

Part of the The Springer Series on Demographic Methods and Population Analysis book series (PSDE,volume 46)

Abstract

Quantifying the proximity between N-grams allows to establish criteria of comparison between them. Recently, a consistent distance d to achieve this end was proposed, see García JE, González-López VA. Detecting regime changes in Markov models. In New trends in stochastic modeling and data analysis (chapter 2, page 103), 2015. This distance takes advantage of a model structure on Markovian processes in finite alphabets and with finite memories, called Partition Markov Models, see García JE, González-López VA. Entropy 19:160, 2017. In this work we explore the performance of d in a real problem, using d to establish a notion of natural proximity between DNA sequences from patients with identical diagnosis, which is: Burkitt lymphoma/leukemia. And we present a robust strategy of estimation to identify the stochastic law that governs most of the sequences considered, thus mapping out a common profile to all these patients, via their DNA sequences.

Keywords

  • Partition Markov models
  • Bayesian information criterion
  • Robust estimation in stochastic processes

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Fig. 13.1

References

  • García, J. E., & González-López, V. A. (2015). Detecting regime changes in Markov models. In R. Manca, S. McClean, C. H. Skiadas (Eds) New trends in stochastic modeling and data analysis. Chapter 2, 103. ISAST, Athens, Greece (ISBN: 978-618-5180-06-5) .

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  • García, J. E., & González-López, V. A. (2017). Consistent estimation of partition Markov models. Entropy, 19(4), 160.

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Author information

Authors and Affiliations

  1. Department of Statistics, University of Campinas, Campinas, Brazil

    Jesús E. García & V. A. González López

  2. University of Campinas, Campinas, Brazil

    R. Gholizadeh

Authors
  1. Jesús E. García
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  2. R. Gholizadeh
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  3. V. A. González López
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Corresponding author

Correspondence to Jesús E. García .

Editor information

Editors and Affiliations

  1. ManLab, Technical University of Crete, Chania, Crete, Greece

    Prof. Dr. Christos H. Skiadas

  2. Department of Mathematics/Computer Science, Hanover College, Hanover, Indiana, USA

    Prof. Charilaos Skiadas

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García, J.E., Gholizadeh, R., González López, V.A. (2018). Stochastic Distance Between Burkitt Lymphoma/Leukemia Strains. In: Skiadas, C., Skiadas, C. (eds) Demography and Health Issues. The Springer Series on Demographic Methods and Population Analysis, vol 46. Springer, Cham. https://doi.org/10.1007/978-3-319-76002-5_13

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  • DOI: https://doi.org/10.1007/978-3-319-76002-5_13

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