TY  - JOUR
AU  - Weißbach, Rafael
AU  - Dörre, Achim
AU  - Wied, Dominik
AU  - Doblhammer-Reiter, Gabriele
AU  - Fink, Anne
TI  - Left-truncated health insurance claims data: theoretical review and empirical application
JO  - Advances in statistical analysis
VL  - 108
SN  - 1863-8171
CY  - Heidelberg
PB  - Springer
M1  - DZNE-2023-00350
SP  - 31-68
PY  - 2024
N1  - CC BY
AB  - 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
LB  - PUB:(DE-HGF)16
DO  - DOI:10.1007/s10182-023-00471-1
UR  - https://pub.dzne.de/record/256592
ER  -