10

Where can I find a proof of Pitman–Koopman–Darmois theorem? I have googled for quite some time. Strangely, many notes mention this theorem yet none of them present the proof.

kjetil b halvorsen
  • 63,378
  • 26
  • 142
  • 467
3x89g2
  • 1,366
  • 1
  • 11
  • 26

1 Answers1

6

The proof is somewhat technical and can be found in its original form here:

On Distributions Admitting a Sufficient Statistic -- Koopman: http://yaroslavvb.com/papers/koopman-on.pdf

Alex R.
  • 13,097
  • 2
  • 25
  • 49