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<p>In survey-based studies, it is expected that the subject will recall the time-to-event if it has occurred before the monitoring time. The recall-based studies provide additional information related to the population characteristics than current status data. In the current study, an objective Bayesian analysis has been proposed for the recall-based data assuming Weibull distribution for the time-to-event random variable. The reference priors are derived for different ordering of parameters considering their inferential importance. Additionally, the propriety of the posterior distribution is established since the reference priors are generally improper. The Bayesian estimates of unknown parameters are obtained under the squared error loss function. To elucidate the performance of Bayesian estimators, a simulation study has been carried out for different proportions of censored and non-recall observations. To show the applicability of the model established under the Bayesian paradigm, the breastfeeding data set is analyzed.</p>

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Objective Bayesian approach for recall-based time-to-event studies: an application to breastfeeding data

  • 期刊论文

  • 发表日期：

    2026年3月30日

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  • Vikas Barnwal,
  • C. P. Yadav,
  • M. S. Panwar

摘要

In survey-based studies, it is expected that the subject will recall the time-to-event if it has occurred before the monitoring time. The recall-based studies provide additional information related to the population characteristics than current status data. In the current study, an objective Bayesian analysis has been proposed for the recall-based data assuming Weibull distribution for the time-to-event random variable. The reference priors are derived for different ordering of parameters considering their inferential importance. Additionally, the propriety of the posterior distribution is established since the reference priors are generally improper. The Bayesian estimates of unknown parameters are obtained under the squared error loss function. To elucidate the performance of Bayesian estimators, a simulation study has been carried out for different proportions of censored and non-recall observations. To show the applicability of the model established under the Bayesian paradigm, the breastfeeding data set is analyzed.