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<p>This paper aims to estimate the conditional cumulative distribution function of a surrogate scalar response given a functional random response. We construct the conditional cumulative distribution function using both the available (true) response data and the surrogate data. Subsequently, we establish the almost complete uniform convergence rate of the estimator. To validate our results, we conduct experiments on both simulated data and a real dataset. Our results demonstrate the superiority of our estimator over traditional estimators when dealing with incomplete data. An application on simulated and then real data is provided.</p>

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Conditional cumulative distribution function for surrogate scalar response

  • 期刊论文

  • 发表日期：

    2025年2月11日

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  • Mounir Boumahdi,
  • Ali Laksaci,
  • Idir Ouassou,
  • Mustapha Rachdi

摘要

This paper aims to estimate the conditional cumulative distribution function of a surrogate scalar response given a functional random response. We construct the conditional cumulative distribution function using both the available (true) response data and the surrogate data. Subsequently, we establish the almost complete uniform convergence rate of the estimator. To validate our results, we conduct experiments on both simulated data and a real dataset. Our results demonstrate the superiority of our estimator over traditional estimators when dealing with incomplete data. An application on simulated and then real data is provided.