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Let's suppose that I have a sequence of length $L$ of uniformly distributed random numbers on interval $(a,b)$. How can I calculate probability that increasing sub-sequence of length $M,M <L, $ will occur?

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occurred May 9, 2015 at 5:26

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asked May 8, 2015 at 22:09

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Probability of sub-sequence of exact length to occur

Let's suppose that I have a sequence of length $L$ of uniformly distributed random numbers on interval $(a,b)$. How can I calculate probability that sub-sequence of length $M,M <L, $ will occur?

pr.probability sequences-and-series

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Probability of sub-sequence of exact length to occur