umu.sePublications
Change search
CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf
Maximum likelihood estimation for survey data with informative interval censoring
Umeå University, Faculty of Social Sciences, Umeå School of Business and Economics (USBE), Statistics.ORCID iD: 0000-0003-1205-3073
Umeå University, Faculty of Social Sciences, Umeå School of Business and Economics (USBE), Statistics.
2018 (English)In: AStA Advances in Statistical Analysis, ISSN 1863-8171, E-ISSN 1863-818XArticle in journal (Refereed) Epub ahead of print
Abstract [en]

Interval-censored data may arise in questionnaire surveys when, instead of being asked to provide an exact value, respondents are free to answer with any interval without having pre-specified ranges. In this context, the assumption of noninformative censoring is violated, and thus, the standard methods for interval-censored data are not appropriate. This paper explores two schemes for data collection and deals with the problem of estimation of the underlying distribution function, assuming that it belongs to a parametric family. The consistency and asymptotic normality of a proposed maximum likelihood estimator are proven. A bootstrap procedure that can be used for constructing confidence intervals is considered, and its asymptotic validity is shown. A simulation study investigates the performance of the suggested methods.

Place, publisher, year, edition, pages
Springer, 2018.
Keywords [en]
Informative interval censoring, Maximum likelihood, Parametric estimation, Questionnaire surveys, Self-selected intervals
National Category
Probability Theory and Statistics
Identifiers
URN: urn:nbn:se:umu:diva-148254DOI: 10.1007/s10182-018-00329-xOAI: oai:DiVA.org:umu-148254DiVA, id: diva2:1234053
Available from: 2018-07-21 Created: 2018-07-21 Last updated: 2018-08-08Bibliographically approved

Open Access in DiVA

fulltext(1039 kB)5 downloads
File information
File name FULLTEXT01.pdfFile size 1039 kBChecksum SHA-512
3b5227eec05198b414602c5ac6aee793a3e47fb3625e7e9de30fd835fc2a88d68a9695cd6f1710b8cbe282c12261cd98f20436b44cbb5af4bd6440c901c9fdba
Type fulltextMimetype application/pdf

Other links

Publisher's full text

Authority records BETA

Angelov, Angel G.Ekström, Magnus

Search in DiVA

By author/editor
Angelov, Angel G.Ekström, Magnus
By organisation
Statistics
In the same journal
AStA Advances in Statistical Analysis
Probability Theory and Statistics

Search outside of DiVA

GoogleGoogle Scholar
Total: 5 downloads
The number of downloads is the sum of all downloads of full texts. It may include eg previous versions that are now no longer available

doi
urn-nbn

Altmetric score

doi
urn-nbn
Total: 289 hits
CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf