Near-optimal estimation of the unseen under regularly varying tail populations
From MaRDI portal
Publication:6635740
DOI10.3150/23-bej1589MaRDI QIDQ6635740
Stefano Favaro, Zacharie Naulet
Publication date: 12 November 2024
Published in: Bernoulli (Search for Journal in Brave)
regularly varying tailsmultinomial modeltail-indexoptimal minimax estimationPoisson-Kingman priorpower-law datauseen-species problem
Cites Work
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Concentration inequalities in the infinite urn scheme for occupancy counts and the missing mass, with applications
- On the posterior distribution of classes of random means
- Estimating a probability mass function with unknown labels
- Best attainable rates of convergence for estimates of parameters of regular variation
- Notes on the occupancy problem with infinitely many boxes: general asymptotics and power laws
- Adaptive estimates of parameters of regular variation
- A simple general approach to inference about the tail of a 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
- Chebyshev polynomials, moment matching, and optimal estimation of the unseen
- Optimal rates of convergence for estimates of the extreme value index
- Optimal disclosure risk assessment
- On consistent and rate optimal estimation of the missing mass
- Completely monotone distributions: mixing, approximation and estimation of number of species
- Combinatorial stochastic processes. Ecole d'Eté de Probabilités de Saint-Flour XXXII -- 2002.
- Minimax Rates of Entropy Estimation on Large Alphabets via Best Polynomial Approximation
- Minimax Estimation of Functionals of Discrete Distributions
- Estimating the number of unseen variants in the human genome
- THE NUMBER OF NEW SPECIES, AND THE INCREASE IN POPULATION COVERAGE, WHEN A SAMPLE IS INCREASED
- New activity pattern in human interactive dynamics
- Power-Law Distributions in Empirical Data
- Estimating the Number of Classes via Sample Coverage
- Estimating the Unseen
- Optimal prediction of the number of unseen species
- Least effort and the origins of scaling in human language
- Introduction to nonparametric estimation
- Word frequency distributions
Related Items (2)
A martingale approach to Gaussian fluctuations and laws of iterated logarithm for Ewens-Pitman model ⋮ Asymptotic analysis of statistical estimators related to multigraphex processes under misspecification
This page was built for publication: Near-optimal estimation of the unseen under regularly varying tail populations
Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6635740)