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@ARTICLE{Weibach:256592,
      author       = {Weißbach, Rafael and Dörre, Achim and Wied, Dominik and
                      Doblhammer-Reiter, Gabriele and Fink, Anne},
      title        = {{L}eft-truncated health insurance claims data: theoretical
                      review and empirical application},
      journal      = {Advances in statistical analysis},
      volume       = {108},
      issn         = {1863-8171},
      address      = {Heidelberg},
      publisher    = {Springer},
      reportid     = {DZNE-2023-00350},
      pages        = {31-68},
      year         = {2024},
      note         = {CC BY},
      abstract     = {From the inventory of the health insurer AOK in 2004, we
                      draw a sample of a quarter million people and follow each
                      person’s health claims continuously until 2013.Our aim is
                      to estimate the effect of a stroke on the dementia onset
                      probability for Germans born in the first half of the 20th
                      century. People deceased before 2004 arerandomly
                      left-truncated, and especially their number is unknown.
                      Filtrations, modelling the missing data, enable
                      circumventing the unknown number of truncatedpersons by
                      using a conditional likelihood. Dementia onset after 2013 is
                      a fixed right-censoring event. For each observed health
                      history, Jacod’s formula yields itsconditional likelihood
                      contribution. Asymptotic normality of the estimated
                      intensities is derived, related to a sample size definition
                      including the number of truncatedpeople. The standard error
                      results from the asymptotic normality and is easily
                      computable, despite the unknown sample size. The claims data
                      reveal that after a stroke,with time measured in years, the
                      intensity of dementia onset increases from 0.02 to 0.07.
                      Using the independence of the two estimated intensities, a
                      $95\%$ confidenceinterval for their difference is [0.053,
                      0.057]. The effect halves when we extend the analysis to an
                      age-inhomogeneous model, but does not change further when
                      weadditionally adjust for multi-morbidity.},
      subtyp        = {Review Article},
      cin          = {AG Doblhammer},
      ddc          = {510},
      cid          = {I:(DE-2719)1012002},
      pnm          = {354 - Disease Prevention and Healthy Aging (POF4-354)},
      pid          = {G:(DE-HGF)POF4-354},
      typ          = {PUB:(DE-HGF)16},
      doi          = {10.1007/s10182-023-00471-1},
      url          = {https://pub.dzne.de/record/256592},
}