Some theoretical results regarding the polygonal distribution
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Publication:5031697
DOI10.1080/03610926.2017.1386312OpenAlexW2582339931MaRDI QIDQ5031697
Hien Duy Nguyen, Geoffrey J. McLachlan
Publication date: 16 February 2022
Published in: Communications in Statistics - Theory and Methods (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1701.04512
Density estimation (62G07) Point estimation (62F10) Probability distributions: general theory (60E05) Approximations to statistical distributions (nonasymptotic) (62E17)
Uses Software
Cites Work
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- Global rates of convergence of the MLEs of log-concave and \(s\)-concave densities
- Bayesian mode regression using mixtures of triangular densities
- On the number of groups in clustering
- Slope heuristics: overview and implementation
- Concentration inequalities and model selection. Ecole d'Eté de Probabilités de Saint-Flour XXXIII -- 2003.
- Note on the consistency of the maximum likelihood estimate for nonidentifiable distributions
- Generalized trapezoidal distributions
- Maximum likelihood estimation of triangular and polygonal distributions
- Rates of convergence for the Gaussian mixture sieve.
- Convergence rates for density estimation with Bernstein polynomials.
- Triangular and trapezoidal distributions: applications in the genome analysis
- Minimal penalties for Gaussian model selection
- Statistical performance of support vector machines
- The Finite Element Method: Theory, Implementation, and Applications
- Mixture Densities, Maximum Likelihood and the EM Algorithm
- Mathematical Foundations of Infinite-Dimensional Statistical Models
- The General Segmented Distribution
- Asymptotic Statistics
- Advanced Calculus with Applications in Statistics
- On Choosing and Bounding Probability Metrics
- A non asymptotic penalized criterion for Gaussian mixture model selection
- On piecewise linear density estimators
- On Information and Sufficiency
- Gaussian model selection
- A practical guide to splines.
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