4,184 reputation
827
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location Bangalore, India
age 28
visits member for 2 years, 5 months
seen 8 hours 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.


8h
comment Is linear function convex or concave?
Exactly my point. To prove convexity, you simply pick the coefficients as mentioned above. Convexity requires that coefficints be in $[0,1]$. Linearity covers this and far more!! That too with equality.
Dec
11
awarded  Caucus
Dec
2
answered easy question about inequality
Nov
23
comment if $m>n$ prove that $ a^{2^n} + 1$ is a divisor of $a^{2^m} - 1$
Question is a bit ambiguous. Did you mean $a^{2^n}+1$ is a divisor of $a^{2^m}-1$?
Nov
15
comment Find the limit of a function using the definition
Is the given problem "To show $\sqrt{x} \to 2$" as $x \to 4$ ?
Nov
11
comment Order statistics of mixed (iid as well as non iid) random variables
What kind of results are you looking for? Such as bounds on probabilities, expectation etc?
Nov
11
revised Order statistics of mixed (iid as well as non iid) random variables
Edited the title typo.
Nov
11
answered Does $\sum \frac{(n+4^n)}{n+6^n}$ converge or diverge?
Oct
28
answered Proof without using induction that a number is divisible by 6
Oct
23
comment $\{p_{n}\}$ is a sequence of real numbers. Prove $\limsup$ $\{p_{n}\} < \infty$ if and only if $\{p_{n}\}$ is bounded above.
By bounded I suppose you mean bounded above.
Oct
14
answered Jump discontinuities
Oct
13
revised Expectation of maximum of two geometric random variables
added 22 characters in body
Oct
13
comment Expectation of maximum of two geometric random variables
Isn't $P[Z=z] = P[Z\leq z]-P[Z\leq z-1]$?
Oct
13
answered Expectation of maximum of two geometric random variables
Oct
11
answered Show that $\Sigma_{n=1}^\infty |z_n| $ converges.
Oct
8
comment A question on Tight probability measures (regular measure)
Thanks for the alternative proof.
Oct
1
comment Estimating sum with binomial coefficients
I suppose what the OP wants is the total number of ways to pick 2k objects from n objects by first picking k objects from n and then picking k objects from the remaining.
Oct
1
answered There exist no integers for which $x^2-4y=2$
Sep
30
awarded  Explainer
Sep
24
awarded  Autobiographer