Title: A Quantile Estimate Based on Local Curve Fitting,
Abstract: Quantile estimation is a problem presented in fields such as quality control,
hydrology, and economics. There are different techniques to estimate such
quantiles. Nevertheless, these techniques use an overall fit of the sample when
the quantiles of interest are usually located in the tails of the distribution.
Regression Approach for Quantile Estimation (RAQE) is a method based on
regression techniques and the properties of the empirical distribution to
address this problem. The method was first presented for the problem of
capability analysis. In this paper, a generalization of the method is
presented, extended to the multiple sample scenario, and data from real
examples is used to illustrate the proposed approaches. In addition,
theoretical framework is presented to support the extension for multiple
homogeneous samples and the use of the uncertainty of the estimated
probabilities as a weighting factor in the analysis.