Definitions
In plain terms
This trend reacts relatively quickly because each update takes one tenth of the newest breadth value and nine tenths of its prior state.
Technical
Given input X_t and a previously initialized state, the recurrence is T10_t = 0.10 X_t + 0.90 T10_(t-1); its subtraction from the 5% Trend forms a McClellan-family oscillator.
Scope
The 10 and 5 percent constants are methodology facts; initialization, rounding, revision resolution, and missing-session behavior remain separate implementation policies.
Formula
T10_t = 0.10*X_t + 0.90*T10_(t-1)T^{10}_t=0.10X_t+0.90T^{10}_{t-1}| Symbol | Meaning | Unit |
|---|---|---|
X_t | Current declared breadth input | input unit |
T10_t | Current 10 percent trend state | input unit |
T10_(t-1) | Previous 10 percent trend state | input unit |
Output unit: same as input
Examples
- If the prior state is 20 and the new input is 50, the updated 10% Trend is 23.
Common misconceptions
- The 10% label is a smoothing coefficient, not a claim of a 10 percent market return.
Concept relationships
Where this concept is used
- ImportantTraditional McClellan Oscillator: Compare Fast and Slow Raw BreadthD04-F02-A01
- ImportantRatio-Adjusted McClellan OscillatorD04-F02-A02
- ImportantTraditional McClellan Summation IndexD04-F02-A03
- ImportantRatio-Adjusted Summation Index (RASI)D04-F02-A04
- ImportantMcClellan Volume OscillatorD04-F02-A05
- ImportantMcClellan Volume Summation IndexD04-F02-A06
- MentionedExponential Moving Average (EMA)D07-F01-A02
Evidence and governance
- Calculating the McClellan Oscillator McClellan Financial Publications · first party methodology
Supports: preferred label, technical definition, formula, units
Limits: Does not prescribe one universal initialization, missing-session, revision-resolution, rounding, or software interface policy.
- Reviewed by
- fintech-builder-owner-approved
- Last reviewed
- 2026-07-26
- Next review
- 2027-07-26
- Record status
- published