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2017issue C0330

Comparing Wilder and exponential smoothing inside a relative-strength index

Hold the lookback fixed and swap only the smoother inside a relative-strength index. A standard exponential average registers a large one-session price change faster than Wilder smoothing, and the same swap speeds an open-scale buy-sell-pressure recast.

  • A 14-period relative-strength index that uses a standard exponential average reacts to a large one-session price change faster than the same-length calculation that uses Wilder smoothing.
  • On a single-session rise of about 20 percent in NFLX during October 2016, Wilder smoothing damped the oscillator more than a standard exponential moving average of the same lookback.
  • A buy-sell-pressure series built with a regular exponential average responded more quickly to that jump than the Wilder-smoothed version, and afterward showed buying about six times selling.
  • The bounded oscillator and the open-scale pressure recast share closely related cores, so their variation shapes stay similar even while the numerical readouts differ.
Entries in this reading3 entries

The smoother as a construction choice

A relative-strength index is a bounded oscillator of averaged up-moves versus down-moves over a stated lookback. This comparison keeps that oscillator skeleton and the lookback unchanged. It varies only the moving average used to smooth those up-moves and down-moves.

Wilder smoothing is the recursive averaging conventionally built into a relative-strength index. Exponential smoothing is a recursive average that weights recent observations more heavily. The ordinary exponential definition is contrasted here with Wilder recursion of the same length. Replacing Wilder averaging with a standard exponential moving average changes how quickly the series reacts.

A one-session price jump

A 14-period relative-strength index that uses a standard exponential average reacts to a large one-session price change faster than the same-length calculation that uses Wilder smoothing.

On a single-session rise of about 20 percent in NFLX during October 2016, Wilder smoothing damped the relative-strength-index response more than a standard exponential moving average of the same lookback.

An open-scale pressure recast

A buy-and-sell-pressure series built with a regular exponential average responded more quickly to that one-day NFLX jump than the version built with Wilder smoothing.

An open-scale pressure formulation encodes which side is larger by sign and the relative size of the two sides by magnitude. After the same jump, the open-scale pressure series showed buying about six times selling, a readout contrasted with a relative-strength-index print merely above 70 as an overbought flag.

Similar shapes, different readouts

Because the bounded oscillator and the open-scale pressure recast share closely related cores, their variation shapes stay similar even while the numerical readouts differ.

Educational research material, not investment advice. Historical source context does not establish present-day performance.
41 of 41 in the Exponential smoothing track
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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
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