Raheleh Zamini
Published 2017-05-28Version 1
This article presents a bootstrap approximation to the Lp_statistics of kernel density estimator in length-biased model. Length-biased data arise in many situations, such as survival analysis, renewal processes and physics. The article establishes a bootstrap central limit theorem for the corresponding bootstrap version of this Lp_statistic. The bootstrap is a widely used tool in statistics and, therefore, the properties of this bootstrap approximation are of great interest in applied as well as in theoretical statistics.
Estimates of the rate of approximation in the CLT for $L_1$-norm of density estimators
Large deviations for renewal processes
Renewal processes with costs and rewards
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