Discrete-time discrete-valued random process

jandson

I have the random process:

Sequence 1: 0 0 1 0 0 1 0 0 1 0 0 1 0 0 1 ...
Sequence 2: 1 0 0 1 0 0 1 0 0 1 0 0 1 0 0 ...
Sequence 3: 0 1 0 0 1 0 0 1 0 0 1 0 0 1 0 ...

where let nature choose one of these sequences at random with equal probability 1/3.

Can we say anything about this process being i.i.d, independent increments, stationary or wide-wense stationary?

Stephen Tashi

Since you defined a specific process, you can give a definite yes-or-no answer to each of those properties.

I think you should at least quote the definitions of the properties you are interested in. Even if your post is not intended as a "homework type" question, it would make a good one.