Weighted quantile estimators

@Article{akinshin2023wqe,
  title = {Weighted quantile estimators},
  author = {Akinshin, Andrey},
  year = {2023},
  month = {4},
  arxiv = {2304.07265},
  abstract = {In this paper, we consider a generic scheme that allows building weighted versions of various quantile estimators, such as traditional quantile estimators based on linear interpolation of two order statistics, the Harrell-Davis quantile estimator and its trimmed modification. The obtained weighted quantile estimators are especially useful in the problem of estimating a distribution at the tail of a time series using quantile exponential smoothing. The presented approach can also be applied to other problems, such as quantile estimation of weighted mixture distributions.}
}