Document Zbl 0598.62034

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Strong consistency of approximate maximum likelihood estimators with applications in nonparametrics. (English) Zbl 0598.62034

Ann. Stat. 13, 932-946 (1985).

The author gives sufficient conditions for strong consistency of approximate maximum likelihood estimators (AMLE). The results are applied to study consistency properties of AMLE for families of densities with concave distribution functions or increasing failure rate distributions. The strong consistency for AMLE based on censored data is derived.

Reviewer: B.L.S.Prakasa Rao

Cited in 2 Reviews

Cited in 10 Documents

MSC:

62G05	Nonparametric estimation
62F12	Asymptotic properties of parametric estimators
60F15	Strong limit theorems

Keywords:

local dominance; log likelihood ratio; strong consistency; approximate maximum likelihood estimators; AMLE; concave distribution; increasing failure rate; censored data

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