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DC Field | Value | Language |
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dc.contributor.author | MILANZI, Elasma | - |
dc.contributor.author | MOLENBERGHS, Geert | - |
dc.contributor.author | ALONSO ABAD, Ariel | - |
dc.contributor.author | VERBEKE, Geert | - |
dc.contributor.author | Kenward, Michael G. | - |
dc.contributor.author | Tsiatis, Anastasios A. | - |
dc.contributor.author | Davidian, Marie | - |
dc.date.accessioned | 2017-03-29T09:22:56Z | - |
dc.date.available | 2017-03-29T09:22:56Z | - |
dc.date.issued | 2016 | - |
dc.identifier.citation | Journal of Biometrics & Biostatistics, 7(1), ART N° 272 | - |
dc.identifier.issn | 2155-6180 | - |
dc.identifier.uri | http://hdl.handle.net/1942/23432 | - |
dc.description.abstract | Often, sample size is not fixed by design. A key example is a sequential trial with a stopping rule, where stopping is based on what has been observed at an interim look. While such designs are used for time and cost efficiency, and hypothesis testing theory has been well developed, estimation following a sequential trial is a challenging, still controversial problem. Progress has been made in the literature, predominantly for normal outcomes and/or for a deterministic stopping rule. Here, we place these settings in a broader context of outcomes following an exponential family distribution and, with a stochastic stopping rule that includes a deterministic rule and completely random sample size as special cases. It is shown that the estimation problem is usually simpler than often thought. In particular, it is established that the ordinary sample average is a very sensible choice, contrary to commonly encountered statements. We study (1) The so-called incompleteness property of the sufficient statistics, (2) A general class of linear estimators, and (3) Joint and conditional likelihood estimation. Apart from the general exponential family setting, normal and binary outcomes are considered as key examples. While our results hold for a general number of looks, for ease of exposition, we focus on the simple yet generic setting of two possible sample sizes, N=n or N=2n. | - |
dc.description.sponsorship | Geert Molenberghs, Mike Kenward, Marc Aerts, and Geert Verbeke gratefully acknowledge support from IAP research Network P6/03 of the Belgian Government (Belgian Science Policy). The work of Anastasios Tsiatis and Marie Davidian was supported in part by NIH grants P01 CA142538, R37 AI031789, R01 CA051962, and R01 CA085848. | - |
dc.language.iso | en | - |
dc.rights | © 2016 Milanzi E, et al. This is an open-access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited. | - |
dc.subject.other | completely random sample size; frequentist inference; generalized sample average; stochastic stopping rule; joint modeling; likelihood inference; missing at random | - |
dc.title | Properties of Estimators in Exponential Family Settings with Observation-based Stopping Rules | - |
dc.type | Journal Contribution | - |
dc.identifier.issue | 1 | - |
dc.identifier.volume | 7 | - |
local.format.pages | 11 | - |
local.bibliographicCitation.jcat | A2 | - |
local.type.refereed | Refereed | - |
local.type.specified | Article | - |
local.bibliographicCitation.artnr | 272 | - |
dc.identifier.doi | 10.4172/2155-6180.1000272 | - |
item.fulltext | With Fulltext | - |
item.accessRights | Open Access | - |
item.fullcitation | MILANZI, Elasma; MOLENBERGHS, Geert; ALONSO ABAD, Ariel; VERBEKE, Geert; Kenward, Michael G.; Tsiatis, Anastasios A. & Davidian, Marie (2016) Properties of Estimators in Exponential Family Settings with Observation-based Stopping Rules. In: Journal of Biometrics & Biostatistics, 7(1), ART N° 272. | - |
item.contributor | MILANZI, Elasma | - |
item.contributor | MOLENBERGHS, Geert | - |
item.contributor | ALONSO ABAD, Ariel | - |
item.contributor | VERBEKE, Geert | - |
item.contributor | Kenward, Michael G. | - |
item.contributor | Tsiatis, Anastasios A. | - |
item.contributor | Davidian, Marie | - |
crisitem.journal.issn | 2155-6180 | - |
Appears in Collections: | Research publications |
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properties-of-estimators-in-exponential-family-settings-with-observationbasedstopping-rules-2155-6180-1000272.pdf | Published version | 527.9 kB | Adobe PDF | View/Open |
auteurs.pdf | Peer-reviewed author version | 258.81 kB | Adobe PDF | View/Open |
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