Definition:White Noise Process

Definition
Let $S$ be a stochastic process consisting of a time series $\map {z_r} t$ such that:


 * the terms of the sequence $\sequence {z_r}$ are independent random variables
 * the terms of $\sequence {z_r}$ are governed by a normal distribution with zero expectation and a given variance $\sigma^2$.

Then $S$ is known as a white noise process.