Title

Inequalities and Bounds for Kernel Length-Biased Density Estimation

Document Type

Article

Publication Date

3-10-2003

Publication Title

Applied Mathematics and Computation

DOI

10.1016/S0096-3003(02)00067-X

ISSN

0096-3003

Abstract

In this note non-parametric estimates of the length-biased probability density function and related reliability measures are presented. Non-parametric estimates are also presented under random censoring. Inequalities and bounds for the error of kernel estimators used for the estimation of length-biased probability densities are obtained. Non-asymptotic bounds and stochastic convergence results are established. Inference for length-biased energy functions is developed and implemented.

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