{"paper":{"title":"Robust estimates in generalized partially linear models","license":"","headline":"","cross_cats":[],"primary_cat":"stat.ME","authors_text":"Graciela Boente, Jianhui Zhou, Xuming He","submitted_at":"2007-08-01T14:33:41Z","abstract_excerpt":"In this paper, we introduce a family of robust estimates for the parametric and nonparametric components under a generalized partially linear model, where the data are modeled by $y_i|(\\mathbf{x}_i,t_i)\\sim F(\\cdot,\\mu_i)$ with $\\mu_i=H(\\eta(t_i)+\\mathbf{x}_i^{$\\mathrm{T}$}\\beta)$, for some known distribution function F and link function H. It is shown that the estimates of $\\beta$ are root-n consistent and asymptotically normal. Through a Monte Carlo study, the performance of these estimators is compared with that of the classical ones."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0708.0165","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}