feat(dynamics): add PlusDI, MinusDI, PlusDM, MinusDM indicators

Complete thin Dx-composition wrapper indicators with full test coverage:

- PlusDi/MinusDi: Directional Indicator wrappers (DiPlus/DiMinus from Dx)
- PlusDm/MinusDm: Directional Movement wrappers (DmPlus/DmMinus from Dx)
- Individual validation tests per indicator directory (TALib, Skender, bounds)
- Combined unit tests (DiDm.Tests.cs) and validation tests (DiDm.Validation.Tests.cs)
- Quantower wrappers + tests for all 4 indicators
- PineScript v6 implementations with compensated RMA
- Normalized .md documentation for all indicators and categories
- 182 tests passing, 0 failures
This commit is contained in:
Miha Kralj
2026-03-11 20:21:52 -07:00
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commit 33d20f2a18
437 changed files with 4589 additions and 2792 deletions
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# THEIL: Theil's T Index
> *The only useful measure of inequality is one that tells you how much redistribution would make everyone equally well off.*
| Property | Value |
| ---------------- | -------------------------------- |
| **Category** | Statistic |
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- Requires `period` bars of warmup before first valid output (IsHot = true).
- Validated against TA-Lib, Skender, and Tulip reference implementations where available.
> "The only useful measure of inequality is one that tells you how much redistribution would make everyone equally well off." — Henri Theil
## Introduction
The Theil T Index is an information-theoretic measure of inequality (or concentration) within a distribution of positive values. Originally developed for income inequality analysis, it quantifies how far a set of values deviates from perfect equality. In financial contexts, it measures the concentration of returns or price magnitudes within a sliding window, producing values ranging from 0 (perfect equality, all values identical) upward with no fixed upper bound. The Theil T Index belongs to the family of generalized entropy indices and is notable for its decomposability property: total inequality can be additively decomposed into between-group and within-group components.