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Estimating the Division Kernel of a Size-Structured Population

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  • Additional Information
    • Contributors:
      Laboratoire Paul Painlevé - UMR 8524 LPP
    • Publication Date:
      2025
    • Collection:
      LillOA (Lille Open Archive - Université de Lille)
    • Abstract:
      We consider a size-structured population describing the cell divisions. The cell population is described by an empirical measure and we observe the divisions in the continuous time interval [0, T ]. We address here the problem of estimating the division kernel h (or fragmentation kernel) in case of complete data. An adaptive estimator of h is constructed based on a kernel function K with a fully data-driven bandwidth selection method. We obtain an oracle inequality and an exponential convergence rate, for which optimality is considered.
    • File Description:
      application/octet-stream
    • Relation:
      Calibration statistique; http://hdl.handle.net/20.500.12210/123364
    • Online Access:
      https://hdl.handle.net/20.500.12210/123364
    • Rights:
      info:eu-repo/semantics/openAccess
    • Accession Number:
      edsbas.9F500B2F