eprintid: 43702 rev_number: 6 eprint_status: archive userid: 1482 importid: 105 dir: disk0/00/04/37/02 datestamp: 2021-07-26 08:28:46 lastmod: 2021-07-26 08:49:07 status_changed: 2021-07-26 08:28:46 type: book_section metadata_visibility: show creators_name: Casanova, Sandrine creators_name: Leconte, Eve creators_id: Sandrine.Casanova@ut-capitole.fr creators_id: Eve.Leconte@ut-capitole.fr creators_idrefppn: 170887499 creators_idrefppn: 196748240 creators_affiliation: Toulouse School of Economics; Université Toulouse 1 Capitole creators_affiliation: Toulouse School of Economics; Université Toulouse 1 Capitole creators_halaffid: 1002422 creators_halaffid: 1002422 title: Nonparametric Model-Based Estimators for the Cumulative Distribution Function of a Right Censored Variable in a Small Area ispublished: pub subjects: subjects_ECO abstract: In survey analysis, the estimation of the cumulative distribution function (cdf) is of great interest as it facilitates the derivation of mean/median estimators for both populations and sub-populations (i.e. domains). We focus on small domains and consider the case where the response variable is right censored. Under this framework, we propose a nonparametric model-based estimator that extends the cdf estimator of Casanova (2012) to the censored case: it uses auxiliary information in the form of a continuous covariate and utilizes nonparametric quantile regression. We then employ simulations to compare the constructed estimator with the model-based cdf estimator of Casanova and Leconte (2015) and the Kaplan–Meier estimator (Kaplan and Meier 1958), both of which use only information contained within the domain: the quantile-based estimator performs better than the former two for very small domain sample sizes. Access times to the first job for young female graduates in the Occitania region are used to illustrate the new methodology. date: 2021-06 date_type: published publisher: Springer International Publishing id_number: 10.1007/978-3-030-73249-3_3 book_subtitle: Festschrift in Honor of Christine Thomas-Agnan official_url: http://tse-fr.eu/pub/125828 faculty: tse divisions: tse language: en has_fulltext: FALSE doi: 10.1007/978-3-030-73249-3_3 view_date_year: 2021 full_text_status: none pages: 710 isbn: 978-3-030-73248-6 book_title: Advances in Contemporary Statistics and Econometrics editors_name: Daouia, Abdelaati editors_name: Ruiz-Gazen, Anne editors_id: Abdelaati.Daouia@ut-capitole.fr editors_id: Anne.Ruiz-Gazen@ut-capitole.fr editors_idrefppn: 076657000 editors_idrefppn: 085824089 editors_halaffid: 1002422 editors_halaffid: 1002422 oai_identifier: oai:tse-fr.eu:125828 harvester_local_overwrite: editors_halaffid harvester_local_overwrite: editors_idrefppn harvester_local_overwrite: pending harvester_local_overwrite: creators_idrefppn harvester_local_overwrite: editors_id harvester_local_overwrite: creators_halaffid harvester_local_overwrite: publisher harvester_local_overwrite: pages harvester_local_overwrite: creators_id harvester_local_overwrite: hal_id harvester_local_overwrite: hal_version harvester_local_overwrite: hal_url harvester_local_overwrite: hal_passwd harvester_local_overwrite: book_subtitle oai_lastmod: 2021-07-23T08:25:26Z oai_set: tse site: ut1 hal_id: hal-03299120 hal_passwd: ka6gz& hal_version: 1 hal_url: https://hal.archives-ouvertes.fr/hal-03299120 citation: Casanova, Sandrine and Leconte, Eve (2021) Nonparametric Model-Based Estimators for the Cumulative Distribution Function of a Right Censored Variable in a Small Area. In: Advances in Contemporary Statistics and Econometrics: Festschrift in Honor of Christine Thomas-Agnan Daouia, Abdelaati and Ruiz-Gazen, Anne (eds.) Springer International Publishing. ISBN 978-3-030-73248-6