Journal of the Korean Society for Industrial and Applied Mathematics

  • 제4권1호
  • /
  • Pages.101-107
  • /
  • 2000
  • /
  • 1226-9433(pISSN)
  • /
  • 1229-0645(eISSN)
한국산업응용수학회 (Korean Society for Industrial and Applied Mathematics)
권호 표지

FURTHER BOUNDS FOR THE ESTIMATION ERROR VARIANCE OF A CONTINUOUS STREAM WITH STATIONARY VARIOGRAM

  • DRAGOMIR, S.S. (School of Communications and Informatics Victoria University of Technology) ;
  • BARNETT, N.S. (School of Communications and Informatics Victoria University of Technology) ;
  • GOMM, I.S. (School of Communications and Informatics Victoria University of Technology)
  • 발행 : 2000.06.30
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초록

In this paper we establish an upper bound for the estimation error variance of a continuous stream with a stationary variogram V which is assumed to be of the r-Holder type (Lipschitzian) on [-d, d]. Functional properties for the mapping ${\xi}(t):=E[(X-X(t))^2]$, $t{\in}[0,d]$, are also given.

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