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In probability theory, Hoeffding's lemma is an inequality that bounds the moment-generating function of any bounded random variable. It is named after the Finnish–American mathematical statistician Wassily Hoeffding. The proof of Hoeffding's lemma uses Taylor's theorem and Jensen's inequality. Hoeffding's lemma is itself used in the proof of McDiarmid's inequality.

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  • Hoeffding's lemma (en)
  • Lemat Hoeffdinga (pl)
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  • In probability theory, Hoeffding's lemma is an inequality that bounds the moment-generating function of any bounded random variable. It is named after the Finnish–American mathematical statistician Wassily Hoeffding. The proof of Hoeffding's lemma uses Taylor's theorem and Jensen's inequality. Hoeffding's lemma is itself used in the proof of McDiarmid's inequality. (en)
  • Lemat Hoeffdinga – w rachunku prawdopodobieństwa, twierdzenie podające górne ograniczenie funkcji generującej momenty ograniczonej zmiennej losowej o zerowej średniej. Dowód lematu Hoeffdinga wykorzystuje wzór Taylora oraz nierówność Jensena. (pl)
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  • In probability theory, Hoeffding's lemma is an inequality that bounds the moment-generating function of any bounded random variable. It is named after the Finnish–American mathematical statistician Wassily Hoeffding. The proof of Hoeffding's lemma uses Taylor's theorem and Jensen's inequality. Hoeffding's lemma is itself used in the proof of McDiarmid's inequality. (en)
  • Lemat Hoeffdinga – w rachunku prawdopodobieństwa, twierdzenie podające górne ograniczenie funkcji generującej momenty ograniczonej zmiennej losowej o zerowej średniej. Dowód lematu Hoeffdinga wykorzystuje wzór Taylora oraz nierówność Jensena. (pl)
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