Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Data Integration by combining big data and survey sample data for finite
  population inference   The statistical challenges in using big data for making valid statistical
inference in the finite population have been well documented in literature.
These challenges are due primarily to statistical bias arising from
under-coverage in the big data source to represent the population of interest
and measurement errors in the variables available in the data set. By
stratifying the population into a big data stratum and a missing data stratum,
we can estimate the missing data stratum by using a fully responding
probability sample, and hence the population as a whole by using a data
integration estimator. By expressing the data integration estimator as a
regression estimator, we can handle measurement errors in the variables in big
data and also in the probability sample. We also propose a fully nonparametric
classification method for identifying the overlapping units and develop a
bias-corrected data integration estimator under misclassification errors.
Finally, we develop a two-step regression data integration estimator to deal
with measurement errors in the probability sample. An advantage of the approach
advocated in this paper is that we do not have to make unrealistic
missing-at-random assumptions for the methods to work. The proposed method is
applied to the real data example using 2015-16 Australian Agricultural Census
data.

26
The categories of this paper are: bayes-an
34
The categories of this paper are: chem-ph
18
The categories of this paper are: econ
15
The categories of this paper are: nucl-ex
37
The categories of this paper are: supr-con
21
The categories of this paper are: adap-org
19
The categories of this paper are: eess
23
The categories of this paper are: solv-int
20
The categories of this paper are: acc-phys
2
The categories of this paper are: math
27
The categories of this paper are: comp-gas
31
The categories of this paper are: ao-sci
13
The categories of this paper are: quant-ph
17
The categories of this paper are: q-fin
10
The categories of this paper are: q-bio
12
The categories of this paper are: nucl-th