27 Suppose the integer valued random variable Y stochastically dominates the integer valued random variable X Prove the bound X Y TV E(Y ) E(X) by extending inequality (7 7) Explicitly evaluate this bound for the distributions featured in Problems 19 through 23 (Hint According to Problem 24, one c...

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=+27. Suppose the integer-valued random variable Y stochastically dominates the integer-valued random variable X. Prove the bound

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=+27. Suppose the integer-valued random variable Y stochastically dominates the integer-valued random variable X. Prove the bound

πX − πY TV ≤ E(Y ) − E(X)

by extending inequality (7.7). Explicitly evaluate this bound for the distributions featured in Problems 19 through 23. (Hint: According to Problem 24, one can assume that Y ≥ X.)

180 7. Discrete-Time Markov Chains

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Applied Probability

ISBN: 9781441971647

2nd Edition

Authors: Kenneth Lange

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Question Posted: Nov 01, 2024 02:00 AM

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=+27. Suppose the integer-valued random variable Y stochastically dominates the integer-valued random variable X. Prove the bound

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Applied Probability

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