Definition:Constant Mean Level

Definition

Let $S$ be a stochastic process giving rise to a time series $T$.

$T$ has a constant mean level if and only if the mean of $S$ does not change as time progresses.

Sources

• 1994: George E.P. Box, Gwilym M. Jenkins and Gregory C. Reinsel: Time Series Analysis: Forecasting and Control (3rd ed.) ... (previous) ... (next):

$1$: Introduction:

$1.2$ Stochastic and Deterministic Dynamic Mathematical Models:

$1.2.1$ Stationary and Nonstationary Stochastic Models for Forecasting and Control