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Feb
12
accepted Limit of a sequence involving partial sums
Feb
12
revised Limit of a sequence involving partial sums
added 101 characters in body
Feb
12
asked Limit of a sequence involving partial sums
Jan
28
revised Inequality involving expectations of vector/matrix norms
deleted 15 characters in body
Jan
27
asked Inequality involving expectations of vector/matrix norms
Jan
14
revised Weak Law of Large Numbers for a non-iid, non-ergodic sequence
added 198 characters in body
Jan
14
revised Weak Law of Large Numbers for a non-iid, non-ergodic sequence
added 48 characters in body
Jan
14
comment Weak Law of Large Numbers for a non-iid, non-ergodic sequence
Oops, you are completely correct. I meant to assume that the expectations of the $n^{-1} \sum_{i=1}^n X_i$ converge to $EX$, as mentioned in the original post. I will edit.
Jan
14
answered Weak Law of Large Numbers for a non-iid, non-ergodic sequence
Nov
10
revised Weak Law of Large Numbers for a non-iid, non-ergodic sequence
added 8 characters in body; edited title
Nov
10
revised Weak Law of Large Numbers for a non-iid, non-ergodic sequence
added 220 characters in body
Nov
10
comment Weak Law of Large Numbers for a non-iid, non-ergodic sequence
Thanks! But this is almost immediate from the definition of convergence in distribution. I was hoping for something more like convergence in probability of the partial sum process stated above.
Nov
9
asked Weak Law of Large Numbers for a non-iid, non-ergodic sequence
Oct
15
accepted Orthogonal direct sum decomposition and projections
Oct
15
asked Orthogonal direct sum decomposition and projections
Oct
13
comment Orthogonal projections onto non-orthogonal subspaces?
Ah, I see. Thanks for clearing that up. But I guess a follow-up question would be: is there an easy way to see how to construct such a projection? I guess it's not so obvious...
Oct
12
accepted Orthogonal projections onto non-orthogonal subspaces?
Oct
11
asked Orthogonal projections onto non-orthogonal subspaces?
Oct
2
accepted Eigenspace decomposition and nilpotent operators
Oct
1
asked Eigenspace decomposition and nilpotent operators