# Proving a Time Series is White Noise and Stationary

Suppose {e_t} and {E_t} are two independent white noise processes with variance sigma^2 and sigma^2_e respectively.

(a) Show that {v_t = e_tE_(t-1)} is also a white noise and calculate its variance.

(b) Show that y_t = v_t - 0.5_(vt-1) + 3e_(t-1) is stationary.

https://brainmass.com/math/algebra/proving-time-series-white-noise-stationary-602459

#### Solution Summary

The solution gives detailed steps on showing how to prove a given time series is white noise and stationary.

$2.19