Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Estimation under cross-classified sampling with application to a
  childhood survey   The cross-classified sampling design consists in drawing samples from a
two-dimension population, independently in each dimension. Such design is
commonly used in consumer price index surveys and has been recently applied to
draw a sample of babies in the French ELFE survey, by crossing a sample of
maternity units and a sample of days. We propose to derive a general theory of
estimation for this sampling design. We consider the Horvitz-Thompson estimator
for a total, and show that the cross-classified design will usually result in a
loss of efficiency as compared to the widespread two-stage design. We obtain
the asymptotic distribution of the Horvitz-Thompson estimator, and several
unbiased variance estimators. Facing the problem of possibly negative values,
we propose simplified non-negative variance estimators and study their bias
under a super-population model. The proposed estimators are compared for totals
and ratios on simulated data. An application on real data from the ELFE survey
is also presented, and we make some recommendations. Supplementary materials
are available online.

12
The categories of this paper are: nucl-th
15
The categories of this paper are: nucl-ex
26
The categories of this paper are: bayes-an
24
The categories of this paper are: dg-ga
0
The categories of this paper are: hep-ph
13
The categories of this paper are: quant-ph
27
The categories of this paper are: comp-gas
29
The categories of this paper are: funct-an
4
The categories of this paper are: cond-mat
1
The categories of this paper are: cs
11
The categories of this paper are: hep-lat
19
The categories of this paper are: eess
33
The categories of this paper are: plasm-ph
25
The categories of this paper are: patt-sol
34
The categories of this paper are: chem-ph
5
The categories of this paper are: gr-qc