# To sketch a "typical" plot of a specific time series model

Let X have a distribution with mean $\mu$ and variance $\sigma^2$, and let $Y_t = X$ for all t. Sketch a “typical” time plot of $Y_t$.

My thoughts: This process $Y_t$ is stationary with mean $\mu$, variance $\sigma^2$ and autocovariance $\sigma^2$. But I cannot visualise how a time series plot would like.

Would it be a "bell-shaped" curve?

Is there a way in R to simulate plots of such "custom" time series ?

• Is it a homework exercise?
– Tim
Jan 30, 2015 at 11:09
• exercises at the end of a book chapter that I am reading on my own Jan 30, 2015 at 11:11
• Then consider using self-study tag.
– Tim
Jan 30, 2015 at 11:27