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Stochastic analysis of Bernoulli processes

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 نشر من قبل Nicolas Privault
 تاريخ النشر 2018
  مجال البحث
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 تأليف Nicolas Privault




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These notes survey some aspects of discrete-time chaotic calculus and its applications, based on the chaos representation property for i.i.d. sequences of random variables. The topics covered include the Clark formula and predictable representation, anticipating calculus, covariance identities and functional inequalities (such as deviation and logarithmic Sobolev inequalities), and an application to option hedging in discrete time.



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