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Accelerated failure time regression for backward recurrence times and current durations

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  • Keiding, Niels
  • Fine, Jason P.
  • Hansen, Oluf H.
  • Slama, Rémy
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    Abstract

    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.

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    Bibliographic Info

    Article provided by Elsevier in its journal Statistics & Probability Letters.

    Volume (Year): 81 (2011)
    Issue (Month): 7 (July)
    Pages: 724-729

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    Handle: RePEc:eee:stapro:v:81:y:2011:i:7:p:724-729

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    Related research

    Keywords: Time to pregnancy Pareto distribution Generalized gamma distribution Survival analysis;

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    1. Stephen R. Cosslett, 2004. "Efficient Semiparametric Estimation of Censored and Truncated Regressions via a Smoothed Self-Consistency Equation," Econometrica, Econometric Society, vol. 72(4), pages 1277-1293, 07.
    2. Mohamed M. Ali & Tom Marshall & Abdel G. Babiker, 2001. "Analysis of incomplete durations with application to contraceptive use," Journal of the Royal Statistical Society Series A, Royal Statistical Society, vol. 164(3), pages 549-563.
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