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- Kolmogorov's_zero–one_law abstract "In probability theory, Kolmogorov's zero–one law, named in honor of Andrey Nikolaevich Kolmogorov, specifies that a certain type of event, called a tail event, will either almost surely happen or almost surely not happen; that is, the probability of such an event occurring is zero or one.Tail events are defined in terms of infinite sequences of random variables. Supposeis an infinite sequence of independent random variables (not necessarily identically distributed). Then, a tail event is an event whose occurrence or failure is determined by the values of these random variables but which is probabilistically independent of each finite subset of these random variables. For example, the event that the sequence converges, and the event that its sum converges are both tail events. In an infinite sequence of coin-tosses, a sequence of 100 consecutive heads occurring infinitely many times is a tail event.In many situations, it can be easy to apply Kolmogorov's zero–one law to show that some event has probability 0 or 1, but surprisingly hard to determine which of these two extreme values is the correct one.".
- Kolmogorov's_zero–one_law wikiPageID "191797".
- Kolmogorov's_zero–one_law wikiPageRevisionID "563437337".
- Kolmogorov's_zero–one_law subject Category:Covering_lemmas.
- Kolmogorov's_zero–one_law subject Category:Probability_theorems.
- Kolmogorov's_zero–one_law comment "In probability theory, Kolmogorov's zero–one law, named in honor of Andrey Nikolaevich Kolmogorov, specifies that a certain type of event, called a tail event, will either almost surely happen or almost surely not happen; that is, the probability of such an event occurring is zero or one.Tail events are defined in terms of infinite sequences of random variables. Supposeis an infinite sequence of independent random variables (not necessarily identically distributed).".
- Kolmogorov's_zero–one_law label "Kolmogorov's zero–one law".
- Kolmogorov's_zero–one_law label "Kolmogorowsches Null-Eins-Gesetz".
- Kolmogorov's_zero–one_law label "Ley cero-uno de Kolmogórov".
- Kolmogorov's_zero–one_law label "Loi du zéro un de Kolmogorov".
- Kolmogorov's_zero–one_law label "Prawo zero-jedynkowe Kołmogorowa".
- Kolmogorov's_zero–one_law label "Закон нуля или единицы".
- Kolmogorov's_zero–one_law label "コルモゴロフの0-1法則".
- Kolmogorov's_zero–one_law label "零一律".
- Kolmogorov's_zero–one_law sameAs Kolmogorov's_zero%E2%80%93one_law.
- Kolmogorov's_zero–one_law sameAs Kolmogorowsches_Null-Eins-Gesetz.
- Kolmogorov's_zero–one_law sameAs Ley_cero-uno_de_Kolmogórov.
- Kolmogorov's_zero–one_law sameAs Loi_du_zéro_un_de_Kolmogorov.
- Kolmogorov's_zero–one_law sameAs コルモゴロフの0-1法則.
- Kolmogorov's_zero–one_law sameAs Prawo_zero-jedynkowe_Kołmogorowa.
- Kolmogorov's_zero–one_law sameAs Q2004664.
- Kolmogorov's_zero–one_law sameAs Q2004664.
- Kolmogorov's_zero–one_law wasDerivedFrom Kolmogorov's_zero–one_law?oldid=563437337.