Least-squares estimation of a convex discrete distribution

DOI10.1016/j.csda.2013.04.019zbMath1471.62054OpenAlexW1991874374MaRDI QIDQ1615120

Sylvie Huet, François Koladjo, Cécile Durot, Stephane Robin

Publication date: 2 November 2018

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

Full work available at URL: https://doi.org/10.1016/j.csda.2013.04.019

zbMATH Keywords

least squaresnonparametric estimationabundance distributionconvex discrete distributionsupport reduction algorithm

Mathematics Subject Classification ID

Computational methods for problems pertaining to statistics (62-08)

Related Items (12)

Modelling of count data using nonparametric mixtures ⋮ Inference in finite state space non parametric hidden Markov models and applications ⋮ Testing convexity of a discrete distribution ⋮ Testing \(k\)-monotonicity of a discrete distribution. Application to the estimation of the number of classes in a population ⋮ Stacked grenander and rearrangement estimators of a discrete distribution ⋮ Completely monotone distributions: mixing, approximation and estimation of number of species ⋮ Bell-shaped sequences ⋮ Nonparametric species richness estimation under convexity constraint ⋮ Multiple monotonicity of discrete distributions: the case of the Poisson model ⋮ Efficient Estimation of the PDF and the CDF of the Exponentiated Gumbel Distribution ⋮ Least squares estimation of a completely monotone pmf: from analysis to statistics ⋮ Marshall lemma in discrete convex estimation

Uses Software

• LogConcDEAD
• logcondens
• SPECIES
• logcondiscr

Cites Work

• Unnamed Item
• An extension of Chao's estimator of population size based on the first three capture frequency counts
• Convex models, MLE and misspecification
• Estimation of a convex function: Characterizations and asymptotic theory.
• Estimation of a discrete monotone distribution
• Estimation of a \(k\)-monotone density: limit distribution theory and the spline connection
• Mixture models for capture-recapture count data
• Recent Developments in Discrete Convex Analysis
• Detecting the Presence of Mixing with Multiscale Maximum Likelihood
• Maximum Likelihood Estimation of a Multi-Dimensional Log-Concave Density
• Equivalence of Truncated Count Mixture Distributions and Mixtures of Truncated Count Distributions
• The Support Reduction Algorithm for Computing Non‐Parametric Function Estimates in Mixture Models
• Asymptotics of the Discrete Log-Concave Maximum Likelihood Estimator and Related Applications
• A Penalized Nonparametric Maximum Likelihood Approach to Species Richness Estimation

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