Hans Crauel

Random Probability Measures on Polish Spaces (eBook, ePUB)

• Format: ePub

Produktbeschreibung

This monograph provides a thorough, comprehensive investigation of the narrow topology on random probability measures on Polish spaces. As a special feature, the author makes no additional assumptions on the probability space in the background, such as completeness or a countable generated algebra. One of the main results presented is a direct proof of the random analog of the Prohorov theorem, which is obtained without invoking an embedding of the Polish space into a compact space. Random Probability Measures on Polish Spaces is a clear and incisive volume that will prove useful for graduate students and researchers in mathematical analysis and its applications.

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Produktdetails

• Verlag: Taylor & Francis
• Seitenzahl: 144
• Erscheinungstermin: 25. Juli 2002
• Englisch
• ISBN-13: 9781134480371
• Artikelnr.: 57532604

Autorenporträt

Crauel, Hans

Inhaltsangabe

Notations and Some Technical Results. Random Sets. Random Probability
Measures and the Narrow Topology. Prohorov Theory for Random Probability
Measures. Further Topologies on Random Measures. Invariant Measures and
Some Ergodic theory for Random Dynamical Systems A. The Narrow Topology on
Non-Random Measures B. Scattered Results. Bibliography. Index.