Estimating the number of components in a finite mixture model: the special case of homogeneity

DOI10.1016/S0167-9473(02)00173-1zbMath1429.62087MaRDI QIDQ951804

Peter Schlattmann

Publication date: 4 November 2008

Published in: Computational Statistics and Data Analysis (Search for Journal in Brave)

zbMATH Keywords

likelihood ratio testnonparametric bootstrapPoisson distributionfinite mixture modelsdisease mappingsimulation studies

Mathematics Subject Classification ID

Applications of statistics to biology and medical sciences; meta analysis (62P10) Parametric hypothesis testing (62F03) Nonparametric estimation (62G05) Point estimation (62F10) Nonparametric statistical resampling methods (62G09)

Related Items (4)

Multivariate methods using mixtures: correspondence analysis, scaling and pattern-detection ⋮ An evaluation of the bootstrap for model validation in mixture models ⋮ Reliability estimation of stress-strength model using finite mixture distributions under progressively interval censoring ⋮ A quick procedure for model selection in the case of mixture of normal densities

Uses Software

• bootstrap
• DismapWin

Cites Work

• The geometry of mixture likelihoods, part II: The exponential family
• The geometry of mixture likelihoods: A general theory
• On estimating the number of constituents of a finite mixture of continuous distributions
• Consistency of maximum likelihood estimators for certain nonparametric families, in particular: Mixtures
• Consistent estimation of a mixing distribution
• On testing for the number of components in a mixed Poisson model
• The distribution of the likelihood ratio for mixtures of densities from the one-parameter exponential family
• A review of reliable maximum likelihood algorithms for semiparametric mixture models
• Simulated Percentage Points for the Null Distribution of the Likelihood Ratio Test for a Mixture of Two Normals
• Statistical analysis of finite mixture distributions
• Penalized minimum‐distance estimates in finite mixture models
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