Show that Xn X in probability is equivalent to the statement that, for any subsequence Xn

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Show that Xn → X in probability is equivalent to the statement that, for any subsequence Xn j , there exists a further subsequence Xn j k such that Xn j k → X with probability one.

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Testing Statistical Hypotheses Volume I

ISBN: 9783030705770

4th Edition

Authors: E.L. Lehmann, Joseph P. Romano

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Question Posted: Nov 04, 2024 04:00 AM

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Show that Xn X in probability is equivalent to the statement that, for any subsequence Xn

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Testing Statistical Hypotheses Volume I

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