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Statistical estimation of a growth-fragmentation model observed on a genealogical tree

Marie Doumic , Marc Hoffmann , Nathalie Krell , Lydia Robert
Bernoulli, 2015, 21 (3), pp.1760-1799. ⟨10.3150/14-BEJ623⟩
Article dans une revue hal-01102799v1
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Multifractal spectra and precise rates of decay in homogeneous fragmentation.

Nathalie Krell
Stochastic Processes and their Applications, 2008, 118, pp.897-916. ⟨10.1016/j.spa.2007.07.001⟩
Article dans une revue hal-00018531v3

Non-parametric estimation of the spiking rate in systems of interacting neurons

Pierre Hodara , Nathalie Krell , Eva Löcherbach
Statistical Inference for Stochastic Processes, 2018, 21 (1), pp.81-111. ⟨10.1007/s11203-016-9150-4⟩
Article dans une revue hal-01327430v1
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Martingales and Rates of Presence in Homogeneous Fragmentations

Nathalie Krell , Alain Rouault
Stochastic Processes and their Applications, 2011, 121 (1), pp.135-154. ⟨10.1016/j.spa.2010.09.005⟩
Article dans une revue hal-00374031v3
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Self-similar branching Markov chains

Nathalie Krell
Séminaire de Probabilités, 2009, XLII, pp.261-280. ⟨10.1007/978-3-642-01763-6_10⟩
Article dans une revue hal-00166140v2
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Statistical estimation of jump rates for a specific class of Piecewise Deterministic Markov Processes.

Nathalie Krell
ESAIM: Probability and Statistics, 2016, 20, pp.196-216. ⟨10.1051/ps/2016013⟩
Article dans une revue hal-01004230v3
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Some recent developments in the theory of fragmentations.

Nathalie Krell
Mathematics [math]. Université Pierre et Marie Curie - Paris VI, 2008. English. ⟨NNT : ⟩
Thèse tel-00293022v1
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Division in Escherichia coli is triggered by a size-sensing rather than a timing mechanism

Lydia Robert , Marc Hoffmann , Nathalie Krell , Stéphane Aymerich , Jérôme Robert , et al.
BMC Biology, 2014, 12 (1), pp.17. ⟨10.1186/1741-7007-12-17⟩
Article dans une revue hal-00981312v1

Regularity of the invariant measure and non-parametric estimation of the jump rate

Hodara, Pierre , Nathalie Krell , Eva Löcherbach
Romain Azais; Florian Bouguet. Statistical inference for piecewise-deterministic Markov processes, Wiley, Chapitre 2 - p. 39-64, 2018, 978-1-786-30302-8
Chapitre d'ouvrage hal-02319778v1
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Statistical analysis of self-similar conservative fragmentation chains

Marc Hoffmann , Nathalie Krell
Bernoulli, 2011, 17 (1), pp.395-423
Article dans une revue hal-00261291v1
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Piecewise deterministic Markov process - recent results

Romain Azaïs , Jean-Baptiste Bardet , Alexandre Genadot , Nathalie Krell , Pierre-André Zitt
ESAIM: Proceedings, 2014, Journées MAS 2012, 44, pp.276-290. ⟨10.1051/proc/201444017⟩
Article dans une revue hal-00865092v1

Investigation of asymmetry in E. coli growth rate

Bernard Delyon , Benoîte de Saporta , Nathalie Krell , Lydia Robert
Case Studies in Business, Industry and Government Statistics, 2018, 7 (1), pp.1-13
Article dans une revue hal-01201923v1
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Nonparametric estimation of jump rates for a specific class of Piecewise Deterministic Markov Processes

Nathalie Krell , Emeline Schmisser
Bernoulli, 2021, 27 (4), pp.2362-2388. ⟨10.3150/20-BEJ1312⟩
Article dans une revue hal-01996064v2

Investigation of asymmetry in E. coli growth rate

Bernard Delyon , Benoîte de Saporta , Nathalie Krell , Lydia Robert
2019
Pré-publication, Document de travail hal-02327095v1
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Energy efficiency of consecutive fragmentation processes

Joaquin Fontbona , Nathalie Krell , Servet Martinez
Journal of Applied Probability, 2010, 47 (2), pp.543-561
Article dans une revue hal-00457647v1