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Kernel density estimation under weak dependence with sampled data

โœ Scribed by Berlin Wu


Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
458 KB
Volume
61
Category
Article
ISSN
0378-3758

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โœฆ Synopsis


Kernel type estimators of the density of continuous time R<valued stochastic processes are studied. Uniform strong consistency on R e of the estimators and their rates of convergence are obtained. The stochastic processes are assumed to satisfy the strong mixing condition and the sampling instants are random. It is shown that the estimators can attain the optimal L ~ rates of convergence.


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In some long term studies, a series of dependent and possibly censored failure times may be observed. Suppose that the failure times have a common marginal distribution function having a density, and the nonparametric estimation of density and hazard rate under random censorship is of our interest.