Uniqueness of the maximum likelihood estimator for 𝑘-monotone densities

DOI10.1090/S0002-9939-2010-10496-3zbMath1203.62057arXiv1001.1782MaRDI QIDQ3065732

Arseni Seregin

Publication date: 6 January 2011

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1001.1782

zbMATH Keywords

uniquenessmaximum likelihooddensity estimationnonparametric estimationmixture modelsshape constraints\(k\)-monotone density

Mathematics Subject Classification ID

Density estimation (62G07)

Related Items (7)

Almost sure uniqueness of a global minimum without convexity ⋮ Uniqueness of maximum likelihood estimators for a backup system in a condition-based maintenance ⋮ A new gamma generalized Lindley-Log-logistic distribution with applications ⋮ The beta exponentiated Weibull distribution ⋮ A new compound class of log-logistic Weibull–Poisson distribution: model, properties and applications ⋮ Density deconvolution under a \(k\)-monotonicity constraint ⋮ General results for the beta Weibull distribution

Cites Work

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• The geometry of mixture likelihoods, part II: The exponential family
• Mixtures of exponential distributions
• Estimation of a convex function: Characterizations and asymptotic theory.
• Estimation of a \(k\)-monotone density: limit distribution theory and the spline connection
• Uniqueness of estimation and identifiability in mixture models
• Convex Analysis
• On Polya Frequency Function. III. The Positivity of Translation Determinants With an Application to the Interpolation Problem by Spline Curves

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