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Jun
1
comment Distribution of e, least squares residuals
$\chi^2$ is the distribution of $X^2$, where $X \sim \mathcal{N}(0,1)$
Jun
1
comment Distribution of e, least squares residuals
Feels like $e^T e$ will be related to $\epsilon^T \epsilon$, which is a linear combination of squares of standard normals, so a linear combination of $\chi^2$ distributions. Does this make sense?
Jun
1
comment Calculate new product value from known product, distance and shift
Hi, welcome to Math.SE, please use MathJax to edit the formulae for easier reading
Jun
1
comment Distribution of e, least squares residuals
shouldn't it be a sum of $\chi^2$?
May
29
comment Probability of long identical substring
@mitzy added the details for you
May
28
comment Probability of long identical substring
@mitzy lots of people come to this site, it would not be obvious for everyone. Please update the question with a generalized version of your approach and I will be glad to help you to compute the sum.
May
26
comment I cannot find the relation between $(I-A)x=v$ and $((I-A)^2)x=0$.
Are you doing this in general, or are specific A and v given? If the latter, could you please add their values to your question?
May
21
comment Best methods for solving ODE with series
@Quality the idea is to end up with exactly the same powers of x in each sum, i.e. $\sum ... x^n$
May
21
comment Best methods for solving ODE with series
@Quality all sums should index from 0
May
20
comment Way to compare three numbers with an algorithm.
@Frxstrem of course, another typo from multiple revisions, fixed now, thanks
May
20
comment find the derivative of the integral
@CodyJohnson he likely meant to integrate dy, otherwise the problem makes no sense...
May
20
comment Direct Proof on Divisibilty
@user3321427 direct argument would be like "this has a factor of 2, hence it must be even" -- another similar one to argue it is divisible by 4
May
20
comment Generating function - the number of ways to distribute 100 dollars to n people.
@BrianTung of course, fixed
May
20
comment Way to compare three numbers with an algorithm.
@BlueRaja-DannyPflughoeft thank you, added an update to the answer reflecting your points
May
20
comment Linear or Non-Linear Model
yes, $\beta \cdot \gamma$ is not a linear relationship
May
20
comment Linear or Non-Linear Model
@dsforecast i don't understand why you need them separately - whoever modeled these separately likely wrote down conditions allowing you to determine these once $\delta$ has been found from the linear regression. Generally, you take $\beta \equiv 1$ to avoid the problem, but you have a specific problem here and it's details must be used.
May
20
comment Rate Times Distance Problem with Averages
What are your thoughts on the problem?
May
20
comment Poisson counting process question, but correct answer not obtained by usual method
@DOGOFWALLSTREET because knowing what happened over a large interval influences information you know about its subintervals.
May
20
comment Poisson counting process question, but correct answer not obtained by usual method
$P(A|B) \neq P(B|A)$, even here
May
20
comment Way to compare three numbers with an algorithm.
+1. I like accounting for relative distances, which my answer does not do. Unfortunately, won't generalize too well. Perhaps you need to divide this by the average instead of the median... Another question to think about is 0, 10, 10.001 are not close (OP's second example) but your metric would be fairly small...