By Islam BarakaDefinitions
In plain terms
A running total needs a first level. The cumulative starting level is that chosen baseline, and changing it shifts every later level by the same constant.
Technical
If C_0 is the cumulative starting level and increments I_1 through I_t are accepted, then C_t = C_0 + sum from i=1 to t of I_i.
Scope
The starting level affects absolute levels but not increment-to-increment changes; traditional, ratio-adjusted, and volume series can use different documented conventions.
Formula
C_t = C_0 + sum(I_i, i=1..t)C_t=C_0+\sum_{i=1}^{t}I_i| Symbol | Meaning | Unit |
|---|---|---|
C_0 | Declared cumulative starting level | increment unit |
I_i | Accepted increment i | increment unit |
C_t | Cumulative level at t | increment unit |
Output unit: same as increment
Examples
- Starting at zero and adding 4, negative 1, and 2 produces a cumulative level of 5.
Common misconceptions
- A different starting level does not change the sequence of subsequent increments.
Concept relationships
Where this concept is used
Tutorials planned
These catalogued topics use this concept, but their complete build has not shipped yet.
- D04-F01-A03 Important
- D04-F01-A04 Important
- D04-F02-A03 Important
- D04-F02-A04 Important
- D04-F02-A06 Important
Evidence and governance
- The McClellan Oscillator and Summation Index McClellan Financial Publications · first party methodology
Supports: technical definition, formula, historical attribution
Limits: Interpretive descriptions and historical conventions are not current out-of-sample performance evidence or a universal fresh-series calibration.
- Understanding Oscillators and Other Indicators McClellan Financial Publications · first party technical publication
Supports: variant distinction
Limits: Historical publication conventions do not define a universal modern volume feed, adjustment basis, revision policy, or predictive result.
- Reviewed by
- Islam Baraka
- Last reviewed
- 2026-07-26
- Next review
- 2027-07-26
- Record status
- published