Optimum experimental design for a regression on a hypercube-generalization of Hoel’s result

by Ewaryst Rafajłowicz, Wojciech Myszka
Abstract:
Abstract. In the note Hoel’s result (1965, Ann. Math. Statist., 36, 1097- 1106) is generalized to a large family of experimental design optimality criterions. Sufficient conditions for optimality criterion are given, which ensure existence of the optimum experimental design measure which is a product of design measures on lower dimensional domains.
Reference:
Optimum experimental design for a regression on a hypercube-generalization of Hoel’s result (Ewaryst Rafajłowicz, Wojciech Myszka), In Annals of the Institute of Statistical Mathematics, volume 40, 1988.
Bibtex Entry:
@Article{Rafajlowicz1988,
  author    = {Rafajłowicz, Ewaryst and Myszka, Wojciech},
  title     = {Optimum experimental design for a regression on a hypercube-generalization of {Hoel's} result},
  journal   = {Annals of the Institute of Statistical Mathematics},
  year      = {1988},
  volume    = {40},
  number    = {4},
  pages     = {821-827},
  abstract  = {Abstract. In the note Hoel's result (1965, Ann. Math. Statist., 36, 1097- 1106) is generalized to a large family of experimental design optimality criterions. Sufficient conditions for optimality criterion are given, which ensure existence of the optimum experimental design measure which is a product of design measures on lower dimensional domains.},
  gsid      = {16202948227479796073},
  important = {54cc2b2c},
  keywords  = {planowanie eksperymentu, regresja, iloczyn Kroneckera},
  url       = {http://www.ism.ac.jp/editsec/aism/pdf/040_4_0821.pdf},
}