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extremal010101.wordpress.com | ||
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gregorygundersen.com
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www.ethanepperly.com
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| | | | | [AI summary] The user has provided a comprehensive set of mathematical derivations and inequalities related to probability and statistics, focusing on bounding the probability that the sample mean deviates from its expected value. The key points include: (1) Using the Chernoff bound to derive a tail inequality for bounded random variables, (2) Applying the Hoeffding's inequality to show that the probability of the sample mean deviating by more than t is exponentially small in n, (3) Deriving the final result that the probability is bounded by 2exp(-2nt^2/(b-a)^2), and (4) Mentioning the connection to the Hoeffding inequality. The user also included some unrelated text about an ORCID iD and an email profile, which seems to be an error or unrelated information... | |
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qchu.wordpress.com
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| | | | | As a warm-up to the subject of this blog post, consider the problem of how to classify$latex n \times m$ matrices $latex M \in \mathbb{R}^{n \times m}$ up to change of basis in both the source ($latex \mathbb{R}^m$) and the target ($latex \mathbb{R}^n$). In other words, the problem is todescribe the equivalence classes of the... | |
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djalil.chafai.net
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| | | Les prix de l'immobilier à Paris baissent depuis la mi-2011. Cette baisse est lente et en tôle ondulée. Rien ne permet d'anticiper aujourd'hui des facteurs de hausse. L'évolution probable des facteurs structurels principaux comme la solvabilité des ménages et le vieillissement de la population suggère que la tendance à... | ||
