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Sampling Bias in Population Studies—How to Use the Lexis Diagram
Author(s) -
Lund Jens
Publication year - 2000
Publication title -
scandinavian journal of statistics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.359
H-Index - 65
eISSN - 1467-9469
pISSN - 0303-6898
DOI - 10.1111/1467-9469.00210
Subject(s) - mathematics , censoring (clinical trials) , sampling (signal processing) , statistics , population , renewal theory , truncation (statistics) , poisson sampling , poisson distribution , conditional probability distribution , importance sampling , algorithm , computer science , slice sampling , monte carlo method , demography , filter (signal processing) , sociology , computer vision
Modified versions of the lifetime distribution are often used in survival analysis. The modifications depend on how we choose individuals for the study and on the assumptions on the behaviour of the population. A rigorous point process description of the Lexis diagram is used to make the sampling mechanisms and the preconditions transparent. The point process description gives a framework to handle all possible sampling patterns. The set‐up is generalized so it can handle more complicated life descriptions than just lifetimes, and the diability model is used as an example. Two set‐ups can be used. Conditional on the birthtimes, the lifetime distribution is left truncated and subject to either right censoring or right truncation. Assuming that the birthtimes can be described by a Poisson process the modifications are length bias and the recurrence time distribution known from renewal theory.