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Apr
26
comment cosh x inequality
This was a long time ago, so I actually forgot where I got it from. No doubt from some good probability book. If I find the source, I will update the article.
Apr
20
comment Prove that $DQ \times DB = DP \times DC + DR \times DA$.
Just to be clear, is DQ or DP the diameter of the circle? Or are you saying it doesn't matter?
Apr
3
answered Compound Interest vs Continuous Interest
Apr
2
comment Integrate $\int_0^{2 \pi} \frac{2}{\cos^{6}(x) + \sin^{6}(x)} dx$
Always a fan of the residues method.
Apr
2
comment Integrate $\int_0^{2 \pi} \frac{2}{\cos^{6}(x) + \sin^{6}(x)} dx$
Just to clarify, by $cosx^6$ you mean $(\cos x)^6$ right?
Apr
2
answered Series sum - where is the error?
Mar
19
answered Prove that $g(x)=\frac{x^2}{\sin^2 x}\, (1+\cos x)$ is an increasing function for $x\in[0,\pi/2]$.
Mar
15
awarded  Popular Question
Feb
26
answered Why is $\mid e^{2 \pi ixh}-1\mid = 2 \mid sin(\pi xh)\mid $?
Feb
26
comment Useful bounds on stopping time for a positive drift random walk
This does look promising. If you can write it as an answer, I'll give you credit.
Feb
26
revised Useful bounds on stopping time for a positive drift random walk
Updated question with a method I tried
Feb
24
asked Useful bounds on stopping time for a positive drift random walk
Jan
27
comment What does “variance unity” mean?: “A normal distribution with mean $\mu$ and variance unity”.
Often the correct way to say it is "unit variance".
Jan
22
comment Doob-style second moment martingale inequality
You might be interested in the Cantelli Inequality
Dec
30
accepted Weak Law of large numbers involving a sequence and random variable
Dec
30
comment Weak Law of large numbers involving a sequence and random variable
Thanks for the elegant solution Davide... It's good to know that it held in strong sense as well.
Dec
29
revised Prove that $\sqrt{x_1}+\sqrt{x_2}+\cdots+\sqrt{x_n} \geq (n-1) \left (\frac{1}{\sqrt{x_1}}+\frac{1}{\sqrt{x_2}}+\cdots+\frac{1}{\sqrt{x_n}} \right )$
Corrected the condition term
Dec
28
revised Weak Law of large numbers involving a sequence and random variable
added 299 characters in body
Dec
28
revised Weak Law of large numbers involving a sequence and random variable
added 1228 characters in body
Dec
27
asked Weak Law of large numbers involving a sequence and random variable