Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Bayesian causal inference with some invalid instrumental variables   In observational studies, instrumental variables estimation is greatly
utilized to identify causal effects. One of the key conditions for the
instrumental variables estimator to be consistent is the exclusion restriction,
which indicates that instruments affect the outcome of interest only via the
exposure variable of interest. We propose a likelihood-free Bayesian approach
to make consistent inferences about the causal effect when there are some
invalid instruments in a way that they violate the exclusion restriction
condition. Asymptotic properties of the proposed Bayes estimator, including
consistency and normality, are established. A simulation study demonstrates
that the proposed Bayesian method produces consistent point estimators and
valid credible intervals with correct coverage rates for Gaussian and
non-Gaussian data with some invalid instruments. We also demonstrate the
proposed method through the real data application.

8
The categories of this paper are: hep-ex
36
The categories of this paper are: cmp-lg
9
The categories of this paper are: nlin
20
The categories of this paper are: acc-phys
3
The categories of this paper are: physics
26
The categories of this paper are: bayes-an
17
The categories of this paper are: q-fin
15
The categories of this paper are: nucl-ex
27
The categories of this paper are: comp-gas
34
The categories of this paper are: chem-ph
4
The categories of this paper are: cond-mat
24
The categories of this paper are: dg-ga
7
The categories of this paper are: hep-th
37
The categories of this paper are: supr-con
18
The categories of this paper are: econ
6
The categories of this paper are: astro-ph