All Questions
3
questions
1
vote
0
answers
100
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What is the confidence interval of consecutive subsampling
I have a situation where I do consecutive subsampling from an original population and I'm trying to figure out what the final confidence interval would be. I know that Var(A,B) = Var(A) + Var(B) if A ...
- 121
5
votes
2
answers
519
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Understanding the role of the chi-squared distribution in the confidence interval for the variance
In my textbook they have this inequality:
$$ \chi_{1-\frac{\alpha}{2}}^2 < \frac{(n-1)s^2}{\sigma^2} < \chi_{\frac{\alpha}{2}}^2$$
which later becomes this statement:
$$\frac{(n-1)s^2}{\chi_{\...
- 61
6
votes
2
answers
3k
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Putting a confidence interval on the mean of a very rare event
I'm simulating an extremely rare event (the detection of weighted photon packets in a highly absorbing material). For example, I may simulate the transmission of 1e9 photons and only detect 10 of them ...
- 373