Likelihood ratio test for univariate Gaussian mixture

DOI10.1016/S0378-3758(00)00216-0zbMath0972.62011OpenAlexW2076475851WikidataQ127360191 ScholiaQ127360191MaRDI QIDQ5939948

Bernard Garel

Publication date: 23 October 2001

Published in: Journal of Statistical Planning and Inference (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0378-3758(00)00216-0

zbMATH Keywords

likelihood ratio test statisticmixture of two univariate normals

Mathematics Subject Classification ID

Asymptotic distribution theory in statistics (62E20) Parametric hypothesis testing (62F03) Asymptotic properties of parametric tests (62F05)

Related Items (21)

Asymptotics for the likelihood ratio test in a two-component normal mixture model ⋮ Edgeworth Expansion of the Moment-Based Test for Homogeneity in an NEF-QVF Mixture Model ⋮ Homogeneity test based on ranked set samples ⋮ A Moment-Based Test for Homogeneity in Finite Mixture Models ⋮ Asymptotic distribution and local power of the likelihood ratio test for mixtures: bounded and unbounded cases ⋮ Asymptotic test of mixture model and its applications to QTL interval mapping ⋮ Asymptotic analysis of singular likelihood ratio of normal mixture by Bayesian learning theory for testing homogeneity ⋮ Minimax rates over Besov spaces in ill-conditioned mixture-models with varying mixing-weights ⋮ Detection boundary for a sparse gamma scale mixture model ⋮ Local score tests in mixture exponential family ⋮ Testing for Homogeneity in Mixture Using Weighted Relative Entropy ⋮ Test for homogeneity in Hardy-Weinberg normal mixture model ⋮ Theoretical analysis of power in a two-component normal mixture model ⋮ Modified likelihood ratio test in finite mixture models with a structural parameter ⋮ Asymptotic theory of the likelihood ratio test for the identification of a mixture ⋮ Estimation of the number of components of finite mixtures of multivariate distributions ⋮ Statistical inference on mixing proportion ⋮ A moment-based test for the homogeneity in mixture natural exponential family with quadratic variance functions ⋮ Recent asymptotic results in testing for mixtures ⋮ Test on components of mixture densities ⋮ The likelihood ratio test for general mixture models with or without structural parameter

Cites Work

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• A constrained formulation of maximum-likelihood estimation for normal mixture distributions
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• Mixtures of distributions: A topological approach
• Note on the consistency of the maximum likelihood estimate for nonidentifiable distributions
• Level crossings of a stochastic process with absolutely continuous sample paths
• Testing the order of a model using locally conic parametrization: Population mixtures and stationary ARMA processes
• Simulated Percentage Points for the Null Distribution of the Likelihood Ratio Test for a Mixture of Two Normals
• Testing in normal mixture models when the proportions are known
• Hypothesis Testing When a Nuisance Parameter is Present Only Under the Alternative
• On the Distribution of the Likelihood Ratio

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