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Trying to learn statistics, haphazardly.


Jul
27
awarded  Nice Answer
Jul
27
comment Beta binomial Bayesian updating over many iterations
(I presume a sort of ad hoc engineering approach here) Then I would suggest dividing by an $N$ every week (or day, hour, etc..). I.e., (1) above. This will discount observations last week by $N$, observations from the week before that by $N^2$ and so on. What you are in effect doing is a weighted average where you give more weight to more recent observations.
Jul
27
awarded  Scholar
Jul
27
accepted What is the expected value of the sample variance under a linear regression with omitted variables of an AR(2) process?
Jul
27
answered How to form a meaningful statistical indicator to reflect user interaction with a website
Jul
27
awarded  Teacher
Jul
27
answered Why use Monte Carlo method instead of a simple grid?
Jul
27
revised Beta binomial Bayesian updating over many iterations
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Jul
27
revised Beta binomial Bayesian updating over many iterations
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Jul
27
answered Beta binomial Bayesian updating over many iterations
Jul
26
comment Intuition behind why Stein's paradox only applies in dimensions $\ge 3$
I agree. Do you have any good references for that (aside from the original paper). I found Stein's original paper overly computational and was hoping that someone would have developed a different method in the last fifty years.
Jul
26
revised Intuition behind why Stein's paradox only applies in dimensions $\ge 3$
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Jul
26
revised Intuition behind why Stein's paradox only applies in dimensions $\ge 3$
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Jul
26
revised Intuition behind why Stein's paradox only applies in dimensions $\ge 3$
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Jul
26
comment Intuition behind why Stein's paradox only applies in dimensions $\ge 3$
Sorry, I should have explicitly mentioned that Stein proved that for $N=2$, the MLE is admissible! See projecteuclid.org/…
Jul
26
comment Intuition behind why Stein's paradox only applies in dimensions $\ge 3$
@mpiktas 1) Yes, the setup is purely theoretical. But still really important (for example, we can let the variables be means of i.i.ds). 2) Yes, although I don't know what you mean with required properties. 3) See above. 4) True, but the expected value of $1/S$ is not defined for $N=1$. (the inverse chi square distribution doesn't have a mean for $N=1$).
Jul
26
revised Intuition behind why Stein's paradox only applies in dimensions $\ge 3$
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Jul
26
asked Intuition behind why Stein's paradox only applies in dimensions $\ge 3$
Jul
25
awarded  Supporter
Jul
20
comment What is the expected value of the sample variance under a linear regression with omitted variables of an AR(2) process?
When you are saying $RSS_p = RSS_{p-1}(1-\phi^2_{pp})$, do you mean $\mathbb{E}(RSS_p) = \mathbb{E}(RSS_{p-1}(1-\phi^2_{pp}))$? It seems to me that the only sensible thing we can talk about is the expected value of the $RSS$.