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Questions (1) Does convergence in probability imply convergence almost surely? (Yes or No) (2) Why convergence almost surely does not imply converge in expecta- tion?

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Questions (1) Does convergence in probability imply convergence almost surely? (Yes or No) (2) Why convergence almost surely does not imply converge in expecta- tion? A. One can hide heavy spikes in the pdf. which only affects moments. B. Almost sure convergence is weaken. C. Almost sure convergence is taking about events. (3) Almost sure convergence requires the "non-convergent" events only happen finite many times, while convergence in probability allows infinitely many non-convergent events. (4) Why convergence in expectation does not imply almost sure conver- gence? A. Almost sure convergence is stronger. B. One can hide bad event which does not affect moments to happen infinitely often. C. Convergence in expectation is only about first moment. (5) Random process can be viewed as a deterministic function of time t, if a sample is fixed

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