A Comment on Best Invariant Predictors

Yoshikazu Takada

doi:10.1214/aos/1176345887

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Home > Journals > Ann. Statist. > Volume 10 > Issue 3 > Article

September, 1982 A Comment on Best Invariant Predictors

Yoshikazu Takada

Ann. Statist. 10(3): 971-978 (September, 1982). DOI: 10.1214/aos/1176345887

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Abstract

A statistical prediction problem invariant under a certain group of transformations is considered. Under several assumptions it is shown that the best invariant predictor is obtained by using the invariant measure on the group. This result is an extension of that of Hora and Buehler.