Details

Autor(en) / Beteiligte

• Landers, Dieter
• Rogge, Lothar

Titel

Nonstandard methods for families of -smooth probability measures

Ist Teil von

• Proceedings of the American Mathematical Society, 1988-01, Vol.103 (4), p.1151-1156

Erscheinungsjahr

1988

Link zum Volltext

Quelle

American Mathematical Society Publications

Beschreibungen/Notizen

• For families of τ \tau -smooth probability measures we give nonstandard characterizations of uniform τ \tau -smoothness, uniform tightness, uniform pretightness, and relative compactness in the weak topology. We apply these characterizations to obtain two important theorems of probability theory: A theorem of Topsøe and a theorem of Prohorov.