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Inferring the conditional mean

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 نشر من قبل Gusztav Morvai
 تاريخ النشر 2007
  مجال البحث الهندسة المعلوماتية
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Consider a stationary real-valued time series ${X_n}_{n=0}^{infty}$ with a priori unknown distribution. The goal is to estimate the conditional expectation $E(X_{n+1}|X_0,..., X_n)$ based on the observations $(X_0,..., X_n)$ in a pointwise consistent way. It is well known that this is not possible at all values of $n$. We will estimate it along stopping times.



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