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Quantitative Finance · Glossaire

Qu'est-ce que « Stationary process, weak stationarity, white noise » ?

Aussi appelé : stationary process · weak stationarity · white noise

Definition 17.1 Quantitative Methods · Chapitre 17 — Linear Time Series

A process (Xt)(X_t) is a stationary process (strictly) if the joint law of (Xt1+h,…,Xtk+h)(X_{t_1 + h}, \dots, X_{t_k + h}) does not depend on hh. It has weak stationarity if its mean is constant and Cov⁡(Xt,Xt+h)\Cov(X_t, X_{t+h}) depends only on hh. White noise is a weakly stationary sequence with mean zero and no autocorrelation at any nonzero lag.

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