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y|) ≤ x2 + y 2 . The document discusses Borel-Cantelli lemmas and their application to proving the strong law of large numbers. It begins by introducing notation used to define events related to whether infinitely many or finitely many events occur. It then states the Borel-Cantelli lemma, which says that if the sum of the probabilities of a sequence of events is finite, the probability that infinitely many occur is 0. The converse is also stated, which says that if the events are independent and the sum o

Author

dev1712

Language

EN