## ::Completeness (statistics)

### ::concepts

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In statistics, **completeness** is a property of a statistic in relation to a model for a set of observed data. In essence, it is a condition which ensures that the parameters of the probability distribution representing the model can all be estimated on the basis of the statistic: it ensures that the distributions corresponding to different values of the parameters are distinct.

It is closely related to the idea of identifiability, but in statistical theory it is often found as a condition imposed on a sufficient statistic from which certain optimality results are derived.

**Completeness (statistics) sections**

Intro Definition Relation to sufficient statistics Importance of completeness Notes References

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{{ safesubst:#invoke:Unsubst||$N=Refimprove |date=__DATE__ |$B=
{{#invoke:Message box|ambox}}
}}

In statistics, **completeness** is a property of a statistic in relation to a model for a set of observed data. In essence, it is a condition which ensures that the parameters of the probability distribution representing the model can all be estimated on the basis of the statistic: it ensures that the distributions corresponding to different values of the parameters are distinct.

It is closely related to the idea of identifiability, but in statistical theory it is often found as a condition imposed on a sufficient statistic from which certain optimality results are derived.

**Completeness (statistics) sections**

Intro Definition Relation to sufficient statistics Importance of completeness Notes References

PREVIOUS: Intro | NEXT: Definition |

<< | >> |