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Conditional cumulative distribution function for surrogate scalar response

Author

Listed:
  • Mounir Boumahdi

    (Hassan II University)

  • Ali Laksaci

    (King Khalid University)

  • Idir Ouassou

    (Cadi Ayyad University)

  • Mustapha Rachdi

    (University of Grenoble Alpes)

Abstract

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.

Suggested Citation

  • Mounir Boumahdi & Ali Laksaci & Idir Ouassou & Mustapha Rachdi, 2025. "Conditional cumulative distribution function for surrogate scalar response," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 88(6), pages 1349-1365, August.
    • Handle: RePEc:spr:metrik:v:88:y:2025:i:6:d:10.1007_s00184-025-00989-1
    DOI: 10.1007/s00184-025-00989-1
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