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4
questions
5
votes
2
answers
226
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Calculation of a nonparametric equal-tailed (central) tolerance interval for an unknown continuous distribution
Assume we have a sample of size $n$ from an unspecified continuous distribution $F(\cdot)$. We wish to construct a tolerance interval to contain $(100\,\beta)\%$ of the population with a pre-specified ...
- 30.9k
4
votes
3
answers
547
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Nonparametric Order Statistics - Does this Exist?
I was reading about order statistics on Wikipedia [retrieved 29 June 2022]:
Apparently, if we have a sample with $k$ elements (e.g., $x_1, x_2, ..., x_k$) and assume a probability distribution for ...
3
votes
1
answer
4k
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Empirical probability and Dirac distribution
According to Deep Learning p.65(Ian Goodfellow and Yoshua Bengio and Aaron Courville, available online):
(...) This can be accomplished by defining PDF using the Dirac delta
function $\delta(x)$: ...
- 273
8
votes
1
answer
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What practical application is there for the Asymptotic Mean Integrated Squared Error in kernel density estimation?
Introduction
For some time now I have been struggling to understand how theoretical results can be applied in practice. Fortunately in most cases the link between theory and practice is not hard to ...
