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Miha Kralj
2026-02-27 07:48:12 -08:00
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# BINOMDIST: Binomial Distribution CDF
| Property | Value |
| ---------------- | -------------------------------- |
| **Category** | Numeric |
| **Inputs** | Source (close) |
| **Parameters** | `period` (default 50), `trials` (default 20), `threshold` (default 10) |
| **Outputs** | Single series (Binomdist) |
| **Output range** | Varies (see docs) |
| **Warmup** | `period` bars |
### TL;DR
- BINOMDIST computes the cumulative distribution function of the Binomial distribution, mapping a min-max normalized price to a success probability $...
- Parameterized by `period` (default 50), `trials` (default 20), `threshold` (default 10).
- Output range: Varies (see docs).
- Requires `period` bars of warmup before first valid output (IsHot = true).
- Validated against TA-Lib, Skender, and Tulip reference implementations where available.
BINOMDIST computes the cumulative distribution function of the Binomial distribution, mapping a min-max normalized price to a success probability $p$ and evaluating $P(X \leq k)$ for $X \sim \text{Binomial}(n, p)$. The normalized price position within its lookback range determines the probability of success per trial, while the trial count $n$ and threshold $k$ control the shape of the CDF response. The output is a $[0, 1]$ bounded oscillator where values near 0 indicate the price-derived probability makes $k$ or fewer successes very unlikely (bullish pressure), and values near 1 indicate $k$ successes are very likely (established range).
## Historical Context