FTB-C000028 / Implementation concept

Cumulative State

A persisted running value updated by adding each newly accepted increment to the previous accumulated value.

Also known asRunning accumulated state

Advanced Formula defined 7 linked topicsPublished

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_t
LaTeX: C_t=C_{t-1}+I_t
SymbolMeaningUnit
C_tCurrent cumulative stateincrement unit
C_(t-1)Previous cumulative stateincrement unit
I_tCurrent accepted incrementincrement 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

Tutorials planned

These catalogued topics use this concept, but their complete build has not shipped yet.

  • D04-F01-A03 Primary
  • D04-F01-A04 Primary
  • D04-F02-A03 Important
  • D04-F02-A04 Important
  • D04-F02-A06 Important

Evidence and governance

  1. 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.

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Last reviewed
2026-07-26
Next review
2027-07-26
Record status
published
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Fintech engineer building market-data and financial systems, and the author of every article, glossary record, and reference implementation on The Fintech Builder.