Journal of applied mathematics & informatics

한국전산응용수학회 (The Korean Society for Computational and Applied Mathematics)
권호 표지

A-OPTIMAL CHEMICAL BALANCE WEIGHING DESIGN WITH CORRELATED ERRORS

  • Ceranka, Bronislaw (Department of Mathematical and Statistical Methods, Agricultural University) ;
  • Graczyk, Malgorzata (Department of Mathematical and Statistical Methods, Agricultural University)
  • 발행 : 2004.09.01

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초록

In this paper we study the estimation problem of individual weights of objects using an A-optimal chemical balance weighing design. We assume that in this model errors are correlated and they have the same variances. The lower bound of tr$(X'G^{-1}X)^{-1}$ is obtained and a necessary and sufficient condition for this lower bound to be attained is given. There is given new construction method of A-optimal chemical balance weighing design.

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