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624
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location Bangalore, India
age 27
visits member for 2 years, 1 month
seen 1 hour ago

Work on Probability Theory, Stochastic Processes, Information Theory and Analysis. Analysis being Real Analysis and Measure theory. Currently a Ph.D student at Indian Institute of Science, Bangalore, India.


5h
comment Doubt in Scheffe's Lemma
Thanks for the alternate proof
Aug
25
reviewed Approve suggested edit on The Absolute Value in the Integral of $1/x$
Aug
24
answered Expected value caluclation
Aug
24
comment A possible incorrect application of Law of Large numbers
@Did: I understand. I'll give it some more thought. If I don't get it, I'll post it as another question (Unless it's already answered).
Aug
24
comment A possible incorrect application of Law of Large numbers
Thanks Liu. On a side note, does $P(|E_n| = 0)$ limit necessarily have to exist or it need not?
Aug
24
comment A possible incorrect application of Law of Large numbers
@mjqxxxx: Consider writing that as an answer.
Aug
24
asked A possible incorrect application of Law of Large numbers
Aug
7
comment Error in proving of the formula the sum of squares
@Will: Thanks for the clarification.
Aug
7
answered Error in proving of the formula the sum of squares
Aug
7
comment Error in proving of the formula the sum of squares
Did you just differentiate a function from integers to integers?
Aug
7
comment Central Limit Theorem vs. Weak Law of Large Numbers
I don't think that is the issue here. He made an error in applying continuous mapping theorem. Observe his function isn't bounded. And he isn't taking expectations.
Aug
7
comment Central Limit Theorem vs. Weak Law of Large Numbers
You say you have trouble understanding WLLN and CLT?
Aug
7
answered Central Limit Theorem vs. Weak Law of Large Numbers
Aug
6
comment Central Limit Theorem exercise question
Your answer is correct. Are you sure the question was not to compute $P(S_n > n^{-1/2})$ ?
Jul
22
comment Applying the duality between infimum and supremum
The steps are valid. Simply because if $f$ is measurable, so is $-f$.
Jul
21
comment Uniform Convergence and Sup
Yeah. That will do.
Jul
21
comment Uniform Convergence and Sup
Actually, I have proven $\lim_{n \to \infty} \sup |f_n(x) - f(x)| \leq \sup |f(x) - f(a)|$. You still need to prove the reverse inequality...
Jul
21
comment Uniform Convergence and Sup
@Amateur: This is only one half. Can you do the rest? If not let me know in comments.
Jul
21
answered Uniform Convergence and Sup
Jul
19
answered Prove of a Pythagorian Triple