Quantiles underpin widely used tools in finance, insurance, and economic inequality—yet building statistical inference for quantiles can be challenging because empirical quantiles are order statistics ...
PROC STDIZE offers two methods for computing quantiles: the one-pass approach and the order-statistics approach (like that used in the UNIVARIATE procedure). The one-pass approach used in PROC STDIZE ...
A PLOS Climate study reveals U.S. warming hits 41 states through temperature quantiles—hotter extremes or milder lows—not simple averages. Uniform temperature rises paint a simple picture of climate ...
The Cox proportional hazards model is a widely used statistical method for the censored data that model the hazard rate rather than survival time. To overcome complexity of interpreting hazard ratio, ...
Operational risk reserves are still widely estimated using the loss distribution approach. The accuracy of the estimation depends heavily on the accuracy with which the extreme quantiles of the ...
Quantiles and expectiles analyze the regression model not only at the mean but also in the tails. Financial losses, medical insurance, auction bids, insurance claims and toxicity limits are all areas ...