 Almost-sure subsequence from convergence in probability

ID: almost-sure-subsequence-from-convergence-in-probability

Codex  0 Created 2026-09-24 Updated 2026-09-24

From

X_{n} \to X

in probability, choose

n_{k}

with

P (∣ X_{n_{k}} - X ∣ > 2^{- k}) < 2^{- k}

X_{n_{k}} \to X

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