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Just a layman and slow learner. Thank you for your enlightenment and patience, and for giving me the best memory in my life.


Nov
8
awarded  Notable Question
Nov
6
awarded  Popular Question
Nov
5
asked Can Cauchy Schwarz inequality be proven using Jensen's inequality?
Nov
5
revised Writing clear proofs involving multiple theorems and conditions
added 45 characters in body
Nov
5
asked Writing clear proofs involving multiple theorems and conditions
Nov
5
accepted Are two random vectors independent, iff every pair of components from each vector are independent?
Nov
5
accepted Independence and uncorrelatedness between two normal random vectors.
Nov
5
comment Normal random Vector
Thanks. +1...............
Nov
5
comment Does a Pareto distribution always have variance?
There is no such thing called "forever".
Nov
5
asked If $X < a$, $EX < a$?
Nov
5
comment Does a Pareto distribution always have variance?
Thanks, @Committingtoachallenge
Nov
5
awarded  Popular Question
Nov
4
comment Does a Pareto distribution always have variance?
I think Wikipedia is using a different definition: $Var X := EX^2 - (EX)^2$, which is why it says the variance doesn't exist when $EX$ is infinite. @Did.
Nov
4
comment Independence and uncorrelatedness between two normal random vectors.
Yes, there is such a theorem, i.e. mean and variance do characterize multivariate normal distribution completely. Why? and how to think about $var([X,Y])$?
Nov
4
comment Independence and uncorrelatedness between two normal random vectors.
Yes. it is defined that way. @MichaelHardy
Nov
4
comment Independence and uncorrelatedness between two normal random vectors.
@MichaelHardy: It is what I think and guess out of my old notes, not an exercise. So I am not claiming my phrasing is correct. Yes, the emphasis is from 1 to 2.
Nov
4
asked Independence and uncorrelatedness between two normal random vectors.
Nov
4
comment Does a Pareto distribution always have variance?
As you mentioned in your comment to my linked reply, the Wikipedia article in question uses "the one that makes a random variable with infinite expectation have undefined variance". But I don't think it is the most standard one, and I am not alone.
Nov
4
asked Are two random vectors independent, iff every pair of components from each vector are independent?
Nov
4
comment Does a Pareto distribution always have variance?
Kevin, Thanks. I realized something, something why Wikipedia wrote about the Parento distrn that way, although I still think you claim that the two are the same is wrong.