In this paper, we consider an adaptive wavelet estimation for quantile density function based on block thresholding method and obtain it's convergence rate under L2 loss function over Besove function spaces. This work is an extension of results in Chesneau et. al. (2016) and shows that the block threshold estimator gets better convergence rate (Optimal) than the estimators proposed by Chesneau et. al. (2016). The performance of the proposed estimator is investigated with a simulation study.
Shirazi E. Wavelet-Based Quantile Density Estimation By Block Thresholding Method Under L2 Loss Function. JSS 2020; 14 (1) :195-214 URL: http://jss.irstat.ir/article-1-611-en.html