Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Nearest neighbor ratio imputation with incomplete multi-nomial outcome
  in survey sampling   Nonresponse is a common problem in survey sampling. Appropriate treatment can
be challenging, especially when dealing with detailed breakdowns of totals.
Often, the nearest neighbor imputation method is used to handle such incomplete
multinomial data. In this article, we investigate the nearest neighbor ratio
imputation estimator, in which auxiliary variables are used to identify the
closest donor and the vector of proportions from the donor is applied to the
total of the recipient to implement ratio imputation. To estimate the
asymptotic variance, we first treat the nearest neighbor ratio imputation as a
special case of predictive matching imputation and apply the linearization
method of \cite{yang2020asymptotic}. To account for the non-negligible sampling
fractions, parametric and generalized additive models are employed to
incorporate the smoothness of the imputation estimator, which results in a
valid variance estimator. We apply the proposed method to estimate expenditures
detail items based on empirical data from the 2018 collection of the Service
Annual Survey, conducted by the United States Census Bureau. Our simulation
results demonstrate the validity of our proposed estimators and also confirm
that the derived variance estimators have good performance even when the
sampling fraction is non-negligible.

26
The categories of this paper are: bayes-an
13
The categories of this paper are: quant-ph
31
The categories of this paper are: ao-sci
21
The categories of this paper are: adap-org
37
The categories of this paper are: supr-con
18
The categories of this paper are: econ
19
The categories of this paper are: eess
36
The categories of this paper are: cmp-lg
34
The categories of this paper are: chem-ph
5
The categories of this paper are: gr-qc
8
The categories of this paper are: hep-ex
7
The categories of this paper are: hep-th
4
The categories of this paper are: cond-mat
14
The categories of this paper are: math-ph
25
The categories of this paper are: patt-sol
2
The categories of this paper are: math