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1995issue C061-9

Range expansion filter on multi-horizon averages

Session range and price direction are handled as separate readings. A smoothed oscillator of true range versus interday close change can permit or retire a stacked exponential-average stance without replacing that stance.

  • Quiet daily ranges are treated as typical range-bound trade, while a sharp expansion of daily true range relative to the interday close change is treated as a possible supply-demand shift, often but not always with higher volume.
  • The range indicator is built in two stages: a stochastic range of the true-range-to-close-change ratio, or of true range alone when that change is not positive, followed by exponential smoothing of that stochastic.
  • Low and still-rising range-indicator readings are a start-of-trend cue to pair with a separate trend measure. High readings are a possible end-of-trend or return-to-range cue.
  • The same oscillator can act as a trend filter on entries after a rising low-zone cross, or as an exit overlay when it crosses the high zone, alongside a minimum holding period and an average reversal.
Entries in this reading3 entries

Separate readings for range and direction

The archive treats a quiet daily range as typical range-bound trade. A sharp expansion of the daily range relative to interday movement is treated as a possible supply-demand shift. That expansion is often, but not always, accompanied by higher volume.

True range is the one-bar range measure used for the session path, including gaps and limit moves against the prior close. Interday close change is the close-to-close displacement used when that session path is compared with overnight progress.

Building the range indicator

The range indicator is a smoothed oscillator that places the current true-range-to-close-change ratio on a bounded scale so unusually quiet or stressed readings can be flagged.

It is built in two stages. First a stochastic range rescales, over a short lookback, the true-range-to-close-change ratio into a bounded reading. When the interday close change is not positive, that stochastic is taken of true range alone. Exponential smoothing is then applied to the stochastic-range series to form the finished range indicator.

Illustrative settings use a short lookback for the stochastic range, a longer exponential smoother, and arbitrarily chosen quiet and stressed zones on the finished oscillator.

Low-zone and high-zone cues

A low zone is an arbitrarily chosen quiet threshold on the range indicator. A rising cross of that threshold is treated as possible trend initiation. A high zone is an arbitrarily chosen stressed threshold. A cross of that threshold is treated as possible trend exhaustion.

Low and still-rising oscillator readings are intended as a start-of-trend cue that can be paired with a separate trend measure. High readings are intended as a possible end-of-trend or return-to-range cue.

A stacked exponential baseline

A baseline directional engine buys when a short exponential average of the close crosses above a medium one, with the close also above both that medium average and a longer exponential average. Short rules are the mirror image.

The moving-average stack is that short, medium, and longer set of averages used together so a stance needs alignment across more than one horizon. Exponential smoothing is applied to the close to form those averages. The baseline was applied to currency futures series on continuous data.

Range as an entry trend filter

As an entry filter, the range indicator must be higher than on the prior bar and must cross above a predefined quiet zone, in addition to the exponential-average alignment. The same permission logic is applied on the short side.

That pairing is the trend filter. It allows or blocks a directional signal according to whether the range oscillator is leaving a quiet zone.

Range as an exit overlay

As an exit overlay, a stressed-zone cross of the range indicator is added to a minimum holding period and a short-versus-longer exponential-average reversal. The range reading is not used as a standalone exit.

TRI on September 1993 yen with 20/70 zones

On the September 1993 yen, the range indicator (TRI) sits in a low band before trends begin and tags the high band as those moves exhaust. The series was read off Figure 4; the 20 and 70 lines are the article’s stated significance zones, not a fitted scale.
On the September 1993 yen, the range indicator (TRI) sits in a low band before trends begin and tags the high band as those moves exhaust. The series was read off Figure 4; the 20 and 70 lines are the article’s stated significance zones, not a fitted scale.September 1993 Japanese yen futures · daily · 1993-06-01T00:00:00.000Z to 1993-10-01T00:00:00.000Z

TRI uses q=3 and m=10 as in the source figure. Digitised from the lower pane only; prices in the upper pane were not transcribed. Approximate to the raster, not to the original tick series.

Educational research material, not investment advice. Historical source context does not establish present-day performance.
25 of 41 in the Exponential smoothing track
19951-1 pp.Next on Exponential smoothingThe exponential smoothing constant from averaging lagAn exponential smoother weights the current observation with a smoothing constant and the previous smoothed value with one minus that constant.
All readings on this track · 41 readings
  1. 1984Matching average age across price filters
  2. 1984Residual-impact construction of exponential smoothers
  3. 1988Constructing simple and exponential moving averages as specified filters
  4. 1989Evaluating smoothed free reserves and funds-discount spreads
  5. 1990Integer construction of moving averages and exponential smoothing
  6. 1990Constructing incremental moving average filters
  7. 1991Constructing a double-smoothed stochastic oscillator
  8. 1991Constructing an exponential average from a smoothing weight
  9. 1991Constructing a double-smoothed momentum oscillator family
  10. 1991Competing certainty rules from exponential-average conditions
  11. 1991Hybrid construction of a mechanical timing system from smoothed signals
  12. 1991Constructing an exponential smoother from a moving-average length
  13. 1991Equivalent relative-strength-index constructions from a ratio and from smoothed momentum
  14. 1991Constructing the true strength index from double-smoothed momentum
  15. 1991True strength index from signed, double-smoothed momentum
  16. 1992Constructing exponential averages from simple lookbacks
  17. 1992Constructing exponential averages by the smoothing constant, startup length and lag
  18. 1992Nested range smoothing and windowed high-low damping
  19. 1992A weekly equity stance from the discount-bill spread
  20. 1993Double-smoothed stochastics momentum index construction
  21. 1993Constructing the true strength index with double exponential smoothing
  22. 1994Polarized fractal efficiency with a shared exponential smoother
  23. 1994Five-interval exponential smoothing of ten-interval signed path-efficiency
  24. 1994Hand-ranked price-volume series with stacked smoothing and stochastic
  25. 1995Range expansion filter on multi-horizon averages
  26. 1995The exponential smoothing constant from averaging lag
  27. 1997Construct a nested-average rainbow band and oscillator
  28. 1998Filter stacks that combine a moving average with exponential smoothing
  29. 2002Smoothed relative-strength construction from wilder-averaging and a price prefilter
  30. 2003Reverse-engineered RSI price targets
  31. 2004Piecewise trend quality from moving-average reversals
  32. 2004Nested smoothing recipes versus unaudited oscillator experiments
  33. 2008Weight construction beyond the N-day label
  34. 2010A consensus filter for objective RSI and smoothing construction
  35. 2012Sentiment-zone oscillator from signed closes
  36. 2012Classic RSI one-over-N smoothing versus the standard exponential average
  37. 2013Why exponential smoothing uses two over n plus one
  38. 2015Constructing ratio indicators with moving-average and exponential-smoothing weights
  39. 2015Slow relative-strength index from an exponentially smoothed price
  40. 2017Rebuilding the relative strength index as open-scale buy-sell pressure
  41. 2017Comparing Wilder and exponential smoothing inside a relative-strength index
All 183 readings tagged Exponential smoothing
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