{"id":{"repo_id":"washington","oai_identifier":"oai:digital.lib.washington.edu:1773/25121"},"canonical_url":"https://search.dev.ndltd.org/etd/washington/oai:digital.lib.washington.edu:1773/25121","repository":{"repo_id":"washington","name":"University of Washington","base_url":"https://digital.lib.washington.edu/server/oai/request"},"display":{"title":"Statistical inference for residual time quantiles in regression models for censored time-to-event data","abstract":"In this dissertation, we set out to develop new methods for the analysis of time-to-event data. In particular, we are concerned with residual time, or the time remaining to an event after a certain amount of time has passed since time zero. We develop methods to estimate quantiles of residual time under a few different settings: the Cox proportional hazards model (with fixed and with external time-varying covariates) and the additive hazards model. In each setting, we consider point estimation, asymptotic properties, variance estimation, confidence interval construction, and inference. We also perform simulations to demonstrate our estimators' performance and provide examples of their application to sample data sets. We finish by discussing the many opportunities for future work and expansion of our methods to address limitations or allow application in a wider array of settings.","abstract_html":"In this dissertation, we set out to develop new methods for the analysis of time-to-event data. In particular, we are concerned with residual time, or the time remaining to an event after a certain amount of time has passed since time zero. We develop methods to estimate quantiles of residual time under a few different settings: the Cox proportional hazards model (with fixed and with external time-varying covariates) and the additive hazards model. In each setting, we consider point estimation, asymptotic properties, variance estimation, confidence interval construction, and inference. We also perform simulations to demonstrate our estimators' performance and provide examples of their application to sample data sets. We finish by discussing the many opportunities for future work and expansion of our methods to address limitations or allow application in a wider array of settings.","abstract_has_math":false,"creators":["Crouch, Luis Alexander"],"institution":null,"degree_name":null,"degree_level":null,"degree_discipline":null,"degree_department":null,"school":null,"contributors":[],"advisors":["Chen, Ying Q"],"committee_chairs":[],"committee_members":[],"year":2014,"date_issued":"2014-02-24","date_published":"2014-02-24","updated_at":"2026-07-24T05:58:16Z","subjects":["Additive hazards; Cox proportional hazards; Quantiles; Residual time; Survival analysis"],"languages":["en_US"],"rights":["Copyright is held by the individual authors."],"rights_urls":[],"identifier_entries":[]},"links":{"outbound_url":"http://hdl.handle.net/1773/25121","outbound_label":"Handle","outbound_source":"dc:identifier.uri"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:contributor.advisor","label":"Advisor","values":["Chen, Ying Q"]},{"key":"dc:creator","label":"Author","values":["Crouch, Luis Alexander"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date.accessioned","label":"Dc Date Accessioned","values":["2014-02-24T18:28:09Z"]},{"key":"dc:date.available","label":"Dc Date Available","values":["2014-02-24T18:28:09Z"]},{"key":"dc:date.issued","label":"Date","values":["2014-02-24"]},{"key":"dc:type","label":"Dc Type","values":["Thesis"]}]},{"id":"subjects_keywords","label":"Subjects and Keywords","entries":[{"key":"dc:subject","label":"Dc Subject","values":["Additive hazards; Cox proportional hazards; Quantiles; Residual time; Survival analysis"]}]},{"id":"language_rights","label":"Language and Rights","entries":[{"key":"dc:language.iso","label":"Language (ISO)","values":["en_US"]},{"key":"dc:rights","label":"Dc Rights","values":["Copyright is held by the individual authors."]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier.other","label":"Dc Identifier Other","values":["Crouch_washington_0250E_12588.pdf"]},{"key":"dc:identifier.uri","label":"Identifier URI","values":["http://hdl.handle.net/1773/25121"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description","label":"Description","values":["Thesis (Ph.D.)--University of Washington, 2013"]},{"key":"dc:description.abstract","label":"Abstract","values":["In this dissertation, we set out to develop new methods for the analysis of time-to-event data. In particular, we are concerned with residual time, or the time remaining to an event after a certain amount of time has passed since time zero. We develop methods to estimate quantiles of residual time under a few different settings: the Cox proportional hazards model (with fixed and with external time-varying covariates) and the additive hazards model. In each setting, we consider point estimation, asymptotic properties, variance estimation, confidence interval construction, and inference. We also perform simulations to demonstrate our estimators' performance and provide examples of their application to sample data sets. 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We develop methods to estimate quantiles of residual time under a few different settings: the Cox proportional hazards model (with fixed and with external time-varying covariates) and the additive hazards model. In each setting, we consider point estimation, asymptotic properties, variance estimation, confidence interval construction, and inference. We also perform simulations to demonstrate our estimators' performance and provide examples of their application to sample data sets. We finish by discussing the many opportunities for future work and expansion of our methods to address limitations or allow application in a wider array of settings."],"dc:format.mimetype":["application/pdf"],"dc:identifier.other":["Crouch_washington_0250E_12588.pdf"],"dc:identifier.uri":["http://hdl.handle.net/1773/25121"],"dc:language.iso":["en_US"],"dc:rights":["Copyright is held by the individual authors."],"dc:subject":["Additive hazards; Cox proportional hazards; Quantiles; Residual time; Survival analysis"],"dc:title":["Statistical inference for residual time quantiles in regression models for censored time-to-event data"],"dc:type":["Thesis"]},"updated_at":"2026-07-24T05:58:16Z"}