Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Martingale central-limit theorems for pivotal sampling   Ordered pivotal sampling is one of the simplest algorithm to perform
without-replacement unequal probability sampling. It has found uses in the
context of longitudinal surveys and spatial sampling, and enables in particular
a good spatial balance of the selected units. In this work, we follow the
approach proposed by Ohlsson~(1986), and apply a martingale central-limit
theorem to prove the asymptotic normality of the Horvitz-Thompson estimator
under a design-based approach, and under a model-assisted approach. In
particular, our model assumptions allow for correlations between values, which
is of particular interest for applications in spatial sampling.

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The categories of this paper are: q-bio
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The categories of this paper are: econ
36
The categories of this paper are: cmp-lg
3
The categories of this paper are: physics
11
The categories of this paper are: hep-lat
12
The categories of this paper are: nucl-th
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The categories of this paper are: comp-gas
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The categories of this paper are: mtrl-th
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The categories of this paper are: eess
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The categories of this paper are: q-fin
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The categories of this paper are: solv-int
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The categories of this paper are: cond-mat
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The categories of this paper are: quant-ph
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The categories of this paper are: gr-qc
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The categories of this paper are: dg-ga
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The categories of this paper are: math-ph