{"doi":"10.17615/j7xx-va49","title":"Local Linear Estimation in Partly Linear Models","abstract":"Let (X, B, Y) denote a random vector such that B and Y are real-valued, and X ∈ R2. Local linear estimates are used in the partial regression method for estimating the regression function E( Y/X,B)=αβ + m(X), where α is an unknown parameter, and m (.) is a smooth function. Under appropriate conditions, asymptotic distributions of estimates of α and m (.) are established. Moreover, it is shown that these estimates achieve the best possible rates of convergence in the indicated semi-parametric problems.","journal":"UNC Libraries","year":2021,"id":230440,"datarank":0.0,"base_score":0.0,"endowment":0.0,"self_citation_contribution":0.0,"citation_network_contribution":0.0,"self_endowment_contribution":0.0,"citer_contribution":0.0,"corpus_percentile":null,"corpus_rank":null,"citation_count":0,"citer_count":0,"citers_with_citation_signal":0,"citers_with_endowment":0,"datacite_reuse_total":0,"is_dataset":false,"is_dataset_confidence":0.9457,"is_data_producer":false,"deposit_databanks":null,"is_oa":true,"file_count":0,"downloads":0,"has_version_chain":false,"published_date":"2021-01-01","fair_score":null,"fair_percentile":null,"algorithm_id":"datarank_citation_only_1hop_v6","ranking_scope":"data_only","authors":[{"id":836142,"name":"Scott A. Hamilton","orcid":"0000-0002-7500-2858","position":1,"is_corresponding":false},{"id":513037,"name":"Young K. Truong","orcid":"0009-0003-8679-2917","position":0,"is_corresponding":true}],"reference_count":0,"raw_metadata":null,"created_at":"2026-07-18T23:55:05.844766Z","pmid":null,"pmcid":null,"fwci":null,"citation_percentile":null,"influential_citations":0,"oa_status":null,"license":null,"views":0,"total_file_size_bytes":0,"version_count":0,"fair_f":null,"fair_a":null,"fair_i":null,"fair_r":null,"fair_zscore":null,"fair_rationale":null,"fair_model":null,"fair_agent_version":null,"fair_fulltext_source":null,"fair_has_llm":null,"fair_computed_at":null,"clinical_trials":[],"software_tools":[],"db_accessions":[],"linked_datasets":[],"topics":[]}