Communications for Statistical Applications and Methods

  • 제30권5호
  • /
  • Pages.453-465
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  • 2023
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  • 2287-7843(pISSN)
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  • 2383-4757(eISSN)
한국통계학회 (The Korean Statistical Society)
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Predicting depth value of the future depth-based multivariate record

  • Samaneh Tata (Department of Statistics, Faculty of Mathematical Sciences, Shahid Beheshti University) ;
  • Mohammad Reza Faridrohani (Department of Statistics, Faculty of Mathematical Sciences, Shahid Beheshti University)
  • 투고 : 2023.02.19
  • 심사 : 2023.02.25
  • 발행 : 2023.09.30
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초록

The prediction problem of univariate records, though not addressed in multivariate records, has been discussed by many authors based on records values. There are various definitions for multivariate records among which depth-based records have been selected for the aim of this paper. In this paper, by means of the maximum likelihood and conditional median methods, point and interval predictions of depth values which are related to the future depth-based multivariate records are considered on the basis of the observed ones. The observations derived from some elements of the elliptical distributions are the main reason of studying this problem. Finally, the satisfactory performance of the prediction methods is illustrated via some simulation studies and a real dataset about Kermanshah city drought.

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참고문헌

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