3 ms·
Thanks for feedbach, this is much appreciated! I fixed the obvious bug in the most recent version. Here are some comments: - The Ai in the Law of Total Probab
by mavam 14y ago
Thanks for feedbach, this is much appreciated!
I fixed the obvious bug in the most recent version. Here are some comments:
- The Ai in the Law of Total Probability indeed have to be disjoint. I
indicated this by using a squared union symbol, though have not introduced
this notation elsewhere. There are several implicit notation assumptions
throughout the cookbook. For consistency reasons, I'll either address all of
them or none.
- I demoted the wrong equivalence to an implication in the sum of variances. I
purposefully did not write "if Cov[X_i, x_j] = 0" because that is obvious
from the statement above.
- I simply removed the unnecessary finite variance restriction from the LLN
discussion. With the notation E[X_i] = mu I mean to imply E[X_i] < infinity,
I hope this is clearer now.
- The Stochastic Processes is section has a very narrow focus. Indeed, it would
benefit from further extesion. At this point, I unfortunately do not have the
cycles to add new content myself, but feel free to do so by submitting a pull
request.
- Similarly, if you find a consistent way of integration Kolmogorov's extension
theorem, I'd be happy to merge a pull request. However, note that I have not
yet introduced the notion of a measure in the cookbook, which appears to be
necessary ingredient of the theorem argumentation.