Journal of applied mathematics & informatics

  • 제41권6호
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  • Pages.1341-1364
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  • 2023
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  • 2734-1194(pISSN)
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  • 2234-8417(eISSN)
한국전산응용수학회 (The Korean Society for Computational and Applied Mathematics)
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ASYMPTOTIC PROPERTIES OF THE CONDITIONAL HAZARD FUNCTION ESTIMATE BY THE LOCAL LINEAR METHOD FOR FUNCTIONAL ERGODIC DATA

  • MOHAMMED BASSOUDI (Lab. Pure and Applied Mathematics, Univ.) ;
  • ABDERRAHMANE BELGUERNA (Department of Mathematics & Computer Sciences, Sciences & Technology Institute, S.A University Center) ;
  • HAMZA DAOUDI (Department of Electrical Engineering, Faculty of Sciences and Technology, Tahri Mohammed University) ;
  • ZEYNEB LAALA (Department of Mathematics & Computer Sciences, Sciences & Technology Institute, S.A University Center)
  • 투고 : 2023.04.22
  • 심사 : 2023.09.20
  • 발행 : 2023.11.30
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초록

This article introduces a method for estimating the conditional hazard function of a real-valued response variable based on a functional variable. The method uses local linear estimation of the conditional density and cumulative distribution function and is applied to a functional stationary ergodic process where the explanatory variable is in a semi-metric space and the response is a scalar value. We also examine the uniform almost complete convergence of this estimation technique.

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참고문헌

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