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- Title
Density estimation in the uniform deconvolution model.
- Authors
Groeneboom, P.; Jongbloed, G.
- Abstract
We consider the problem of estimating a probability density function based on data that are corrupted by noise from a uniform distribution. The (nonparametric) maximum likelihood estimator for the corresponding distribution function is well defined. For the density function this is not the case. We study two nonparametric estimators for this density. The first is a type of kernel density estimate based on the empirical distribution function of the observable data. The second is a kernel density estimate based on the MLE of the distribution function of the unobservable (uncorrupted) data.
- Subjects
UNIFORM distribution (Probability theory); ESTIMATION theory; DENSITY functionals; STOCHASTIC processes
- Publication
Statistica Neerlandica, 2003, Vol 57, Issue 1, p136
- ISSN
0039-0402
- Publication type
Article
- DOI
10.1111/1467-9574.00225