By Islam BarakaDefinitions
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
Tutorials planned
These catalogued topics use this concept, but their complete build has not shipped yet.
- D04-F02-A01 Important
- D04-F02-A02 Important
- D04-F02-A03 Important
- D04-F02-A04 Important
- D04-F02-A05 Important
- D04-F02-A06 Important
- D07-F01-A02 Mentioned
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
- Islam Baraka
- Last reviewed
- 2026-07-26
- Next review
- 2027-07-26
- Record status
- published