Maximum likelihood estimation for survey data with informative interval censoring

(creator_code:org_t)

2018-07-17
2019
English.
In: AStA Advances in Statistical Analysis. - : Springer. - 1863-8171 .- 1863-818X. ; 103:2, s. 217-236

Related links:: https://doi.org/10.1...; show more...; https://umu.diva-por... (primary) (Raw object); https://link.springe...; https://urn.kb.se/re...; https://doi.org/10.1...; show less...

Abstract Subject headings

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.

About the subject

NATURAL SCIENCES: NATURAL SCIENCES; and Mathematics; and Probability Theo ...

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