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Sep 16, 2023 at 18:31 comment added Pax Do you want the inequality you wrote to hold with high probability (or perhaps in expectation?). In any case, I doubt a general inequality of this type exists, as letting $n$ grow larger than $N$ suitably, and choosing $\mu=w$, I believe the opposite inequality holds with high probability.
Sep 9, 2023 at 9:29 comment added NN2 $p^{(t)}$ is a random variable, so perhaps we should have $\Omega = \{t \, , t \in [1, N] \, , \, \mathbb{E}(|p^{(t)}|^2)< \epsilon\}$ or something similar?
Sep 7, 2023 at 13:37 history edited user1172131 CC BY-SA 4.0
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Sep 7, 2023 at 9:53 history edited YCor CC BY-SA 4.0
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Sep 7, 2023 at 9:50 history asked user1172131 CC BY-SA 4.0