I have to work out whether its weakly stationary or not

Xt = b where b is a constant.

I know i have to work out that the mean first and make it finite and not dependent on t.

What does E[ ] = ????

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- Oct 23rd 2010, 03:38 AMadam_leedsTime Series
I have to work out whether its weakly stationary or not

Xt = b where b is a constant.

I know i have to work out that the mean first and make it finite and not dependent on t.

What does E[ ] = ???? - Oct 23rd 2010, 08:19 AMHallsofIvy
Without knowing what

**is**or knowing what the distribution of x is, if " is the definition of , I don't see how anyone can answer that question. - Oct 23rd 2010, 09:15 AMadam_leeds
- Oct 23rd 2010, 09:39 AMbob000
Do you by any chance mean

= b + where e is a zero mean independent identically distributed noise process with a variance?

If so = + a bunch of mean zero terms with variance equal to var(e)/(1-b^2). Since b^n converges to zero the series is stationary.

As you have it written is generated by repeated draws from an iid distribution and isnt really a time series.