Minimal sufficiency
Definition taught in Exponential families and conjugacy, part of Bayesian statistics
Minimal sufficiency
| Type | Definition |
| Taught in | Exponential families and conjugacy |
| Part | Bayesian statistics |
| Questions using it | 1 |
Sufficiency alone does not guarantee the greatest possible compression: the entire sample is trivially sufficient. A statistic T is minimal sufficient if it is a function of every other sufficient statistic.
Used in
- Taught in Exponential families and conjugacy, where the derivation and examples are.
- Questions that use it (1) — Factorisation and data reduction
- All 18 questions on Exponential families and conjugacy
See also
Sufficient statistic · Statistic and estimator · Fisher–Neyman factorisation · Complete statistic · Ancillary statistic · Basu’s theorem · Natural exponential family · Translation to another common notation