Characterizing extreme points of polyhedra an extension of a result by Wolfgang Bühler

Summary This paper reconsiders the characterization given by Bühler admitting convex polyhedra of probability distributions on a finite or countable set which are given by systems of linear inequalities more complex than those considered before.

---

Zusammenfassung Diese Arbeit charakterisiert die Ecken konvexer Polyeder von Wahrscheinlichkeiten auf einer höchstens abzählbar unendlichen Menge. Diese Polyeder sind durch komplexere Ungleichungssysteme definiert als die von Bühler betrachteten.

---

---

Part of this work was done during the author's stay at the Statistical Laboratory of the University of California, Berkeley and supported by USPHS grant ESO 1299-18.

---

W.J. Bühler, is in no way related to the Wolfgang Bühler, Universität Dortmund, whose results are reconsidered here.