Construct · 1 fields · 1 citations

Pitman-Koopman-Darmois theorem: a standalone construct

One name. One construct. A landmark on the map.

● anchor · a standalone construct Nearest construct by meaning·not indexed

A single standalone construct; nearby constructs are located against it in the Collider. Tap a field for its definition, unit, and measures.

Mathematical statistics

theorem that among families with fixed support only exponential families admit a sufficient statistic whose dimension stays fixed as the sample grows.

In mathematical statistics, Pitman-Koopman-Darmois theorem refers to theorem that among families with fixed support only exponential families admit a sufficient statistic whose dimension stays fixed as the sample grows. This meaning comes from Koopman (1936) in Transactions of the American Mathematical Society.[1]

Unit
Recovery means
Measured by

Run it through the Collider, or take the citations with you.

See how Pitman-Koopman-Darmois theorem sits against neighbouring constructs in the Collider, or export every reference on this page in one click.

Open in Collider Export BibTeX Report this entry

Nearby constructs

dimension4 fields · 5 citationsjingle · one word, four constructs sample3 fields · 3 citationsjingle · one word, three constructs sufficient statistic1 fields · 1 citationsanchor · a standalone construct

References

Koopman, B. O. (1936). On distributions admitting a sufficient statistic. Transactions of the American Mathematical Society, 39(3), 399-409. https://doi.org/10.1090/s0002-9947-1936-1501854-3

Cited on this page?

Confirm your construct, or correct us.

If your work is cited behind one of these entries, you know better than we do whether we captured the meaning right. Confirm it, suggest an edit, or dispute it, and your name goes on the entry as an author who has checked it, linked to your ORCID.

Claim your construct