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"For certain life cycle events a non-susceptible fraction of subjects will never undergo the event. In demographic applications, examples are provided by marriage and age at first maternity. A model for survival data allowing a permanent survival fraction, non-monotonic failure rates and unobserved frailty is considered here. Regressions are used to explain both the failure time and permanent survival mechanisms and additive correlated errors are included in the general linear models defining these regressions. A hierarchical Bayesian approach is adopted with likelihood conditional on the random frailty effects and a second stage prior defining the bivariate density of those effects. The gain in model fit, and potential effects on inference, from adding frailty is demonstrated in a case study application to age at first maternity in Germany. […] This paper considers a model for survival data with a permanent survival fraction and non-monotonic failure rates and evaluates the gain in model fit, and effects on inference, from adding frailty. An application considers age at first maternity using data from the 2002 German General Social Survey, with permanent survival amounting to childlessness. Regressions are used to explain both the failure time of the event (here age at first maternity) and the permanent survival mechanism (susceptibility to undergo maternity or not). Additive correlated effects are included in the linked models defining these regressions and relate to two types of frailty: influences on the event rate itself and influences on the probability of susceptibility."
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Aufgenommen: 24. Fassung, Februar 2010
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A bivariate frailty model for events with a permanent survivor fraction and non-monotonic hazards; with an application to age at first maternity
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Bibsonomy
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In Computational Statistics and Data Analysis, 52(9), 4346-4356, 2008
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2008
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ALLBUS
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ALLBUS_input2009
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article
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english
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reviewed
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