Definitions
In plain terms
A cumulative state remembers the total so far. Each new accepted oscillator value is added to that remembered total to produce the next level.
Technical
For increment I_t and prior cumulative state C_(t-1), the update is C_t = C_(t-1) + I_t after initialization at a declared starting level.
Scope
The recurrence is general, while the starting constant, reset behavior, revision handling, and checkpoint format are explicit methodology or package choices.
Formula
C_t = C_(t-1) + I_tC_t=C_{t-1}+I_t| Symbol | Meaning | Unit |
|---|---|---|
C_t | Current cumulative state | increment unit |
C_(t-1) | Previous cumulative state | increment unit |
I_t | Current accepted increment | increment unit |
Output unit: same as increment
Examples
- A cumulative state of 100 followed by an accepted increment of negative 7 becomes 93.
Common misconceptions
- A cumulative state cannot be reconstructed correctly from only the latest increment.
Concept relationships
Prerequisites
Narrower concepts
Related
Required by
Where this concept is used
- PrimaryCumulative Advance/Decline Line: Recompute History Without Looking AheadD04-F01-A03
- PrimaryNormalized Advance/Decline Line: Cumulative (A-D)/(A+D) BreadthD04-F01-A04
- ImportantTraditional McClellan Summation IndexD04-F02-A03
- ImportantRatio-Adjusted Summation Index (RASI)D04-F02-A04
- ImportantMcClellan Volume Summation IndexD04-F02-A06
- ImportantAdvance/Decline Volume LineD04-F04-A03
- ImportantCumulative TICKD04-F04-A05
Evidence and governance
- The McClellan Oscillator and Summation Index McClellan Financial Publications · first party methodology
Supports: technical definition, formula, units
Limits: Interpretive descriptions and historical conventions are not current out-of-sample performance evidence or a universal fresh-series calibration.
- Reviewed by
- fintech-builder-owner-approved
- Last reviewed
- 2026-07-26
- Next review
- 2027-07-26
- Record status
- published