Journal of applied mathematics & informatics

The Korean Society for Computational and Applied Mathematics (한국전산응용수학회)
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A WEIGHTED GEOMETRIC REGULARITY FROM ORDER RESTRICTED STATISTICAL INFERENCE

  • Published : 1999.09.01

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Abstract

In Eucliden k-space the cone of vectors x=($\chi$1, $\chi$2, ...,$\chi$k) satisfying $\chi$1$\leq$$\chi$ 2, $\leq$...$\leq$$\chi$k and {{{{ SUM { }`_{j } ^{k } }}= 1 $\chi$j=0 is generated by the vectors vj=(j-k,...j-k...j) having j-k's in its first j coordinates and j's for the remaining k-j coordinates for 1$\leq$j$\leq$i

Keywords

References

  1. Order Restricted Statistical Inference T.Robertson;F.T.Wright;R.L.Dykstra
  2. Amer. Math. Monthly v.97 A geometric regularity from order restricted statistical inference T.Robertson;C.Pillers
  3. Convexity and Optimization in Finite Dimensions I J.Stoer;C.Witzgall