On location mixtures with Pólya frequency components

DOI10.1016/j.spl.2014.08.013zbMath1298.62059OpenAlexW2057245001MaRDI QIDQ464487

Cristina Butucea, Fadoua Balabdaoui

Publication date: 27 October 2014

Published in: Statistics \& Probability Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.spl.2014.08.013

zbMATH Keywords

Laplace transformmaximum likelihoodidentifiabilitylog-concavePólya frequency function

Mathematics Subject Classification ID

Density estimation (62G07) Nonparametric estimation (62G05) Point estimation (62F10)

Related Items (3)

An EM algorithm for fitting a mixture model with symmetric log-concave densities ⋮ Maximum likelihood estimation of the log-concave component in a semi-parametric mixture with a standard normal density ⋮ Estimation of the complexity of a finite mixture distribution: from well- to less known methods

Uses Software

• logcondens
• logcondens.mode

Cites Work

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• Clustering with mixtures of log-concave distributions
• Maximum likelihood estimation of a log-concave density and its distribution function: basic properties and uniform consistency
• Estimation of finite mixtures with symmetric components
• Inference for mixtures of symmetric distributions
• Theoretical properties of the log-concave maximum likelihood estimator of a multidimensional density
• Chernoff's density is log-concave
• Semiparametric estimation of a two-component mixture model
• Estimation of the mode
• On Pólya frequency functions. I. The totally positive functions and their Laplace transforms
• Model-Based Clustering, Discriminant Analysis, and Density Estimation
• On the Identifiability of Finite Mixtures

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