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,
  Title                    = {Optimum experimental design for a regression on a hypercube-generalization of {Hoel's} result},
  Author                   = {Rafajłowicz, Ewaryst and Myszka, Wojciech},
  Journal                  = {Annals of the Institute of Statistical Mathematics},
  Year                     = {1988},
  Number                   = {4},
  Pages                    = {821-827},
  Volume                   = {40},

  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}
}