Lois asymptotiques des tests et estimateurs de rupture dans un modèle statistique classique. (French) Zbl 0555.62030
In an earlier paper, ibid. 20, 1-20 (1984; Zbl 0534.60033), the authors studied the weak convergence of likelihood processes useful for change- point problems. Here they apply these results for studying the asymptotic behaviour of tests for the existence of a change-point and for deriving the limiting properties of estimators of change points by maximum likelihood method. They also discuss asymptotic behaviour of Bayesian estimators of change points using the invariance principle.
Reviewer: B.L.S.Prakasa Rao
MSC:
62F12 | Asymptotic properties of parametric estimators |
62F05 | Asymptotic properties of parametric tests |