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Accelerated failure time regression for backward recurrence times and current durations. (English) Zbl 1217.62152
Summary: Backward recurrence times in stationary renewal processes and current durations in dynamic populations observed at a cross-section may yield estimates of underlying interarrival times or survival distributions under suitable stationarity assumptions. Regression models have been proposed for these situations, but accelerated failure time models have the particularly attractive feature that they are preserved when going from the backward recurrence times to the underlying survival distribution of interest. This simple fact has recently been noticed in a sociological context and is here illustrated by a study of current duration of time to pregnancy.

##### MSC:
 62N05 Reliability and life testing 62P25 Applications of statistics to social sciences 62G08 Nonparametric regression and quantile regression 60K10 Applications of renewal theory (reliability, demand theory, etc.) 62G05 Nonparametric estimation 62N02 Estimation in survival analysis and censored data
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