Completely monotone distributions: mixing, approximation and estimation of number of species

DOI10.1016/j.csda.2020.107014OpenAlexW3028266619MaRDI QIDQ2189623

Yulia Kulagina, Fadoua Balabdaoui

Publication date: 16 June 2020

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

Full work available at URL: https://doi.org/10.1016/j.csda.2020.107014

zbMATH Keywords

asymptotic theorycompletely monotonemixture modelnonparametric estimationspecies richnessgeometric\(k\)-monotonepmf

Mathematics Subject Classification ID

Statistics (62-XX)

Related Items (1)

Stacked grenander and rearrangement estimators of a discrete distribution

Uses Software

• DLMF
• LogConcDEAD
• logcondiscr

Cites Work

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• On Multiply Monotone Distributions, Continuous or Discrete, with Applications
• Global rates of convergence of the MLEs of log-concave and \(s\)-concave densities
• Estimation of a discrete probability under constraint of \(k\)-monotonicity
• Bi-log-concave distribution functions
• On asymptotics of the discrete convex LSE of a p.m.f.
• Estimating a probability mass function with unknown labels
• Estimating the number of classes
• The geometry of mixture likelihoods: A general theory
• Least-squares estimation of a convex discrete distribution
• Testing convexity of a discrete distribution
• Nonparametric estimation of species richness using discrete \(k\)-monotone distributions
• Testing \(k\)-monotonicity of a discrete distribution. Application to the estimation of the number of classes in a population
• Estimation of a convex function: Characterizations and asymptotic theory.
• Estimation of a discrete monotone distribution
• Multiple monotonicity of discrete distributions: the case of the Poisson model
• Least squares estimation of a completely monotone pmf: from analysis to statistics
• Estimation of a \(k\)-monotone density: limit distribution theory and the spline connection
• Entropic representation and estimation of diversity indices
• Statistical Implications of Turing's Formula
• Estimating the Number of Species in a Stochastic Abundance Model
• Asymptotic Statistics
• Maximum Likelihood Estimation of a Multi-Dimensional Log-Concave Density
• Estimation of population size in entropic perspective
• 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
• On Fast Computation of the Non-Parametric Maximum Likelihood Estimate of a Mixing Distribution
• Computing maximum likelihood estimators of a log-concave density function
• Note on Completely Monotone Densities
• Some Results for Discrete Unimodality
• Estimating the Size of a Multinomial Population
• Maximum likelihood estimation of a unimodal probability mass function
• Asymptotics of the Discrete Log-Concave Maximum Likelihood Estimator and Related Applications
• A Penalized Nonparametric Maximum Likelihood Approach to Species Richness Estimation
• THE POPULATION FREQUENCIES OF SPECIES AND THE ESTIMATION OF POPULATION PARAMETERS
• Word frequency distributions

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