Mathematical Sciences: Faculty Publications
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.
Recommended Citation
Oluyede, Broderick O..
2003.
"Inequalities and Bounds for Kernel Length-Biased Density Estimation."
Applied Mathematics and Computation, 135 (2-3): 541-551.
doi: 10.1016/S0096-3003(02)00067-X
https://digitalcommons.georgiasouthern.edu/math-sci-facpubs/638
Copyright
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