Zero-one law

In probability theory, zero-one laws are those sentences that say that the probability of events of a certain type is either 0 or 1. That is, they will either almost certainly occur or are almost impossible .

The following are called the zero-one law:

• Blumenthal's zero-one law
• Borel's zero-one law, see Borel-Cantelli lemma
• Kolmogorov's zero-one law
• Hewitt-Savage Zero One Law
• Orey's zero-one law

literature

• Achim Klenke: Probability Theory . 3. Edition. Springer-Verlag, Berlin Heidelberg 2013, ISBN 978-3-642-36017-6 , doi : 10.1007 / 978-3-642-36018-3 .
• Hans-Otto Georgii: Stochastics . Introduction to probability theory and statistics. 4th edition. Walter de Gruyter, Berlin 2009, ISBN 978-3-11-021526-7 , doi : 10.1515 / 9783110215274 .

Individual evidence

1. ↑ Heinz Bauer : Probability Theory. 5th edition, de Gruyter, ISBN 3-11-017236-4 , § 11.