Let S n be the number of successes in n independent trials with the probability of success in each trial equal to p Let n 1 n max S n ,nS n Which is larger E n or max p,1 p Find lim n n In what sense does n converge to its limit ...

The function ux minxnx is conca ...

Let S n be the number of successes in n independent trials with the probability of success

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Let S_nbe the number of successes in n independent trials with the probability of success in each trial equal to p. Let ξ_n = 1/n max{S_n,n−S_n}. Which is larger: E{ξ_n} or max{p,1− p}?

Find lim_n→∞ ξ_n. In what sense does ξ_n converge to its limit?

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Probability And Stochastic Modeling

ISBN: 9781439872062

1st Edition

Authors: Vladimir I. Rotar

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Question Posted: Jan 05, 2024 01:00 PM

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Let S n be the number of successes in n independent trials with the probability of success

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