zbMATH — the first resource for mathematics

Geometry Search for the term Geometry in any field. Queries are case-independent.
Funct* Wildcard queries are specified by * (e.g. functions, functorial, etc.). Otherwise the search is exact.
"Topological group" Phrases (multi-words) should be set in "straight quotation marks".
au: Bourbaki & ti: Algebra Search for author and title. The and-operator & is default and can be omitted.
Chebyshev | Tschebyscheff The or-operator | allows to search for Chebyshev or Tschebyscheff.
"Quasi* map*" py: 1989 The resulting documents have publication year 1989.
so: Eur* J* Mat* Soc* cc: 14 Search for publications in a particular source with a Mathematics Subject Classification code (cc) in 14.
"Partial diff* eq*" ! elliptic The not-operator ! eliminates all results containing the word elliptic.
dt: b & au: Hilbert The document type is set to books; alternatively: j for journal articles, a for book articles.
py: 2000-2015 cc: (94A | 11T) Number ranges are accepted. Terms can be grouped within (parentheses).
la: chinese Find documents in a given language. ISO 639-1 language codes can also be used.

a & b logic and
a | b logic or
!ab logic not
abc* right wildcard
"ab c" phrase
(ab c) parentheses
any anywhere an internal document identifier
au author, editor ai internal author identifier
ti title la language
so source ab review, abstract
py publication year rv reviewer
cc MSC code ut uncontrolled term
dt document type (j: journal article; b: book; a: book article)
A Z-theorem with estimated nuisance parameters and correction note for ’Weighted likelihood for semiparametric models and two-phase stratified samples, with application to Cox regression’. (English) Zbl 1164.62012
This paper fills the gap in the proof of asymptotic normality of weighted likelihood estimators for parameters fitted to two-phase stratified samples when sampling weights were estimated by the data in the authors’ paper ibid. 34, No. 1, 86--102 (2007; Zbl 1142.62014). The proof is corrected under slightly strengthened assumptions on the theorem. A new theorem on the asymptotic behavior of estimating equations estimates in presence of infinite dimensional nuisance parameters is used to complete the proof.
Reviewer: R. E. Maiboroda (Kyïv)
62G20Nonparametric asymptotic efficiency
62G05Nonparametric estimation
62D05Statistical sampling theory, sample surveys
62G08Nonparametric regression
Full Text: DOI