Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Stratified Random Sampling for Dependent Inputs   A new approach of obtaining stratified random samples from statistically
dependent random variables is described. The proposed method can be used to
obtain samples from the input space of a computer forward model in estimating
expectations of functions of the corresponding output variables. The advantage
of the proposed method over the existing methods is that it preserves the exact
form of the joint distribution on the input variables. The asymptotic
distribution of the new estimator is derived. Asymptotically, the variance of
the estimator using the proposed method is less than that obtained using the
simple random sampling, with the degree of variance reduction depending on the
degree of additivity in the function being integrated. This technique is
applied to a practical example related to the performance of the river flood
inundation model.

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The categories of this paper are: astro-ph
30
The categories of this paper are: q-alg
5
The categories of this paper are: gr-qc
24
The categories of this paper are: dg-ga
23
The categories of this paper are: solv-int
26
The categories of this paper are: bayes-an
32
The categories of this paper are: atom-ph
12
The categories of this paper are: nucl-th
3
The categories of this paper are: physics
13
The categories of this paper are: quant-ph
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The categories of this paper are: q-fin
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The categories of this paper are: hep-ex
21
The categories of this paper are: adap-org
36
The categories of this paper are: cmp-lg
37
The categories of this paper are: supr-con
33
The categories of this paper are: plasm-ph