When you say "randomly comprised" what do you mean?
- Exactly 50 of the 100 elements of the result are +1 and exactly 50 are -1, but the order in which they appear in the result is random?
- Any individual element is 50% likely to be +1 and 50% likely to be -1?
- Any element has probability p of being +1 and (1-p) of being -1? When p is 0.5 this simplifies to the second case.
- You have a transition matrix giving the probability of the next element being +1 or -1 if the current element is +1 or -1? In the example below, most of the time +1 follows +1 and -1 follows -1 but the result can switch. [This requires Statistics and Machine Learning Toolbox.]
tr = [0.95,0.05; 0.10,0.90];
e = [1 0; 0 1];
[seq, states] = hmmgenerate(100, tr, e, 'Symbols', ["+1", "-1"]);
table(seq.', states.')
