Commonly used are median (that is, dichotomy), quartile, percentile and so on.
For example, the quantile of the oil futures yield reflects the distribution characteristics of the yield and the risk characteristics of the oil market, so it is necessary to model and investigate the variation pattern and influencing factors of the quantile.
The study of Brent crude oil futures price in 1998-2009 shows that the quantile of oil futures yield has autoregressive characteristics, and the effect of oil price decline is stronger due to the asymmetry of oil price fluctuation in the previous period. The left-tailed quantile is jointly affected by the rise and fall of oil prices, while the right-tailed quantile is only affected by the fall of oil prices, showing different characteristics.