Types of asymptotic distinguishability of families of hypotheses, and their characterization. (English. Russian original) Zbl 0644.62022

Lin’kov, Yu. N.

Theory Probab. Math. Stat. 33, 65-74 (1986); translation from Teor. Veroyatn. Mat. Stat. 33, 57-67 (1985).

Let \(\{X^ t,{\mathcal F}^ t,(P^ t_ 0,P^ t_ 1)\}\), \(t\in {\mathbb{R}}_+\), be a family of statistical experiments. In the problem of testing \(H^ t_ 0: P^ t_ 0\) versus \(H^ t_ 1: P^ t_ 1\) a set of notions generalizing Le Cam’s contiguity is introduced and a characterization of these notions is given.

Reviewer: V.Malinovskij

MSC:

62F05	Asymptotic properties of parametric tests
62F03	Parametric hypothesis testing

Keywords:

asymptotic distinguishability of families of hypotheses; generalization of Le Cam’s contiguity