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Oct
19
revised Why are Maclaurin series useful if we can only use them for such a small range of numbers?
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Oct
19
revised Why are Maclaurin series useful if we can only use them for such a small range of numbers?
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Oct
19
answered Why are Maclaurin series useful if we can only use them for such a small range of numbers?
Oct
10
comment Bounding the Density of the Maximum of N Random Variables
It turns out we don't even need independence! (See my answer)
Oct
10
accepted Bounding the Density of the Maximum of N Random Variables
Oct
8
comment Bounding the Density of the Maximum of N Random Variables
It says it needs 20 hours.
Oct
7
comment Bounding the Density of the Maximum of N Random Variables
Yes it seems I had given up too easily
Oct
7
revised Bounding the Density of the Maximum of N Random Variables
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Oct
7
revised Bounding the Density of the Maximum of N Random Variables
i think i found a proof without independence
Oct
7
revised Bounding the Density of the Maximum of N Random Variables
added 14 characters in body
Oct
6
revised Bounding the Density of the Maximum of N Random Variables
more context
Oct
6
answered Bounding the Density of the Maximum of N Random Variables
Oct
6
revised Bounding the Density of the Maximum of N Random Variables
added 192 characters in body
Oct
6
asked Bounding the Density of the Maximum of N Random Variables
Sep
16
comment What does this notation mean for Expectation and Variance?
Ah yes I swapped the domains thanks
Sep
16
accepted What does this notation mean for Expectation and Variance?
Sep
16
comment What does this notation mean for Expectation and Variance?
I can't reconcile this with the expression from my question. The inner variance would be only a random variable on $\{x_1,...,x_{i-1}, x_{i+1}, ... x_{n}\}$ since we have integrated out the randomness in $x_i$. Then taking the outer expectiation would have no effect, leaving the final expression as a random variable on $\{x_1,...,x_{i-1}, x_{i+1}, ... x_{n}\}$ when in fact it should be some deterministic constant $\in \mathbb{R}$
Sep
16
asked What does this notation mean for Expectation and Variance?
Sep
12
comment continuity extension of exponential $f(x)= a^x$
You can use log to construct an extension. Uniqueness can be shown by subtraction of two extensions. And of course you have to require extensions continuous
Sep
12
comment Quicksort probabilistic analysis
In that case it will be easier to think about the middle half instead of the middle third. You get $P_n = 1/2 P_{n/4}^2$. Letting $n$ grow large you will have $P_n$ go to zero.