## Problem 068 — rank:300

**Title:** Bias-calibrated microbiome abundance inference

**Added binding assumptions (LaTeX):**

```latex
The plug-in normalized correction is generally not exactly unbiased at finite read depth, despite the original title. The target is bias-controlled, consistent and uncertainty-calibrated estimation under the efficiency model. Efficiencies are identifiable only up to common scale, so fix one reference or normalize their product. Require $N>0$, positive estimated efficiencies, and an explicit treatment of undetected taxa and contaminants.
```

**Direct edits:** 2. **Fresh external checks:** None; supplied sources retained as provenance.