Estimation of a \(k\)-monotone density: characterizations, consistency and minimax lower bounds
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Publication:6573256
DOI10.1111/j.1467-9574.2009.00438.xWikidataQ40217445 ScholiaQ40217445MaRDI QIDQ6573256
Jon A. Wellner, Fadoua Balabdaoui
Publication date: 16 July 2024
Published in: Statistica Neerlandica (Search for Journal in Brave)
rates of convergencemaximum likelihoodleast squarescompletely monotoneminimax riskmixture modelsshape constraintsnon-parametric estimationmultiply monotone
Nonparametric inference (62Gxx) Approximations and expansions (41Axx) Statistical distribution theory (62Exx)
Cites Work
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- Multiply monotone functions and their Laplace transforms
- Cube root asymptotics
- The geometry of mixture likelihoods: A general theory
- Consistency of maximum likelihood estimators for certain nonparametric families, in particular: Mixtures
- On the estimation of a probability density function by the maximum penalized likelihood method
- Mixtures of exponential distributions
- Geometrizing rates of convergence. II
- A practical guide to splines
- Radial positive definite functions generated by Euclid's hat
- Minimax lower bounds and moduli of continuity
- Estimation of a convex function: Characterizations and asymptotic theory.
- Hellinger-consistency of certain nonparametric maximum likelihood estimators
- Consistent estimation of a convex density at the origin
- Estimation of a \(k\)-monotone density: limit distribution theory and the spline connection
- The rate of convergence in law of the maximum of an exponential sample
- An Empirical Distribution Function for Sampling with Incomplete Information
- On the Estimation of Parameters Restricted by Inequalities
- Multiplicative censoring, renewal processes, deconvolution and decreasing density: Nonparametric estimation
- Extensions d'un théorème de D. Dugué et M. Girault
- Estimating the Derivative of a Convex Density
- The Support Reduction Algorithm for Computing Non‐Parametric Function Estimates in Mixture Models
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