Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On differentiability of implicitly defined function in semi-parametric
  profile likelihood estimation   In this paper, we study the differentiability of implicitly defined functions
which we encounter in the profile likelihood estimation of parameters in
semi-parametric models. Scott and Wild (Biometrika 84 (1997) 57-71; J. Statist.
Plann. Inference 96 (2001) 3-27) and Murphy and van der Vaart (J. Amer.
Statist. Assoc. 95 (2000) 449-485) developed methodologies that can avoid
dealing with such implicitly defined functions by parametrizing parameters in
the profile likelihood and using an approximate least favorable submodel in
semi-parametric models. Our result shows applicability of an alternative
approach presented in Hirose (Ann. Inst. Statist. Math. 63 (2011) 1247-1275)
which uses the direct expansion of the profile likelihood.

28
The categories of this paper are: alg-geom
4
The categories of this paper are: cond-mat
23
The categories of this paper are: solv-int
19
The categories of this paper are: eess
11
The categories of this paper are: hep-lat
34
The categories of this paper are: chem-ph
7
The categories of this paper are: hep-th
37
The categories of this paper are: supr-con
25
The categories of this paper are: patt-sol
22
The categories of this paper are: chao-dyn
5
The categories of this paper are: gr-qc
31
The categories of this paper are: ao-sci
17
The categories of this paper are: q-fin
24
The categories of this paper are: dg-ga
15
The categories of this paper are: nucl-ex
14
The categories of this paper are: math-ph