Strong consistency of MLE for finite uniform mixtures when the scale parameters are exponentially small

DOI10.1007/BF02506875zbMath1083.62024arXivmath/0409197OpenAlexW2068993446MaRDI QIDQ816581

Akimichi Takemura, Kentaro Tanaka

Publication date: 9 March 2006

Published in: Annals of the Institute of Statistical Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0409197

zbMATH Keywords

identifiabilitymixture distribution

Mathematics Subject Classification ID

Asymptotic properties of parametric estimators (62F12)

Related Items (5)

Strong consistency of the maximum likelihood estimator for finite mixtures of location-scale distributions when the scale parameters are exponentially small ⋮ Strong consistency of the MLE under two-parameter Gamma mixture models with a structural scale parameter ⋮ Consistency of the penalized MLE for two-parameter gamma mixture models ⋮ Consistency of the MLE under a two-parameter gamma mixture model with a structural shape parameter ⋮ A flexible family of density functions

Cites Work

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• Some inequalities relating to the partial sum of binomial probabilities
• A constrained formulation of maximum-likelihood estimation for normal mixture distributions
• Note on the consistency of the maximum likelihood estimate for nonidentifiable distributions
• On the Mixture of Distributions
• On the Identifiability of Finite Mixtures
• Note on the Consistency of the Maximum Likelihood Estimate

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