Quantile Bands: Building Indicator Bands from Three Quantile Values
Summary
This document explains quantiles as values that divide a distribution or ordered sample into groups with equal, or nearly equal, probabilities or observation counts. It distinguishes quantile cutpoints from the groups they create and names familiar examples such as quartiles and deciles. For a partition into q groups, it describes q−1 internal cutpoints and relates continuous-distribution quantiles to applying the inverse cumulative distribution function at the corresponding probability levels. It also notes that a quantile value may not be unique in some cases.
The trading-indicator note says that its bands are constructed from three quantile values, but it does not specify the source series, lookback window, quantile calculation convention, or how the bands should be interpreted for entries and exits. No market examples, test results, or performance evidence are included. The statistical explanation supplies useful background for understanding distribution-based bands, while the indicator description alone is too brief to establish a trading method or its suitability across markets.
Key ideas
- Quantiles divide ordered observations or a probability distribution into groups with equal or nearly equal shares.
- A partition into q groups uses q−1 internal quantile cutpoints.
- For continuous distributions, quantiles can be obtained from the inverse cumulative distribution function.
- The indicator is described as building bands from three quantile values, but its trading rules are not given.
Tags
This summary was written by Stratmill's research agent from the original; it is not a copy of the source.