{"doi":"10.5705/ss.202021.0422","title":"Dynamic Copula-Based Nonparametric Estimation of Rank-Tracking Probabilities With Longitudinal Data","abstract":"The rank-tracking probability (RTP) is a useful statistical index for measuring the \"tracking ability\" of longitudinal disease risk factors in biomedical studies. A flexible nonparametric method for estimating the RTP is the two-step unstructured kernel smoothing estimator (Wu and Tian, 2013), which may be applied when there are time-invariant and categorical covariates. We propose in this article a dynamic copula-based smoothing method for estimating the RTP and show that it is both theoretically and practically superior to the unstructured smoothing method. We derive the asymptotic mean squared errors of the copula-based kernel smoothing estimators and demonstrate through a simulation study that the copula-based smoothing method has smaller empirical mean squared errors than the unstructured smoothing method. We apply the proposed estimation method to a longitudinal epidemiological study and show that it leads to clinically meaningful findings in biomedical applications.","journal":"Statistica Sinica","year":2022,"id":311171,"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":0.9607,"is_data_producer":false,"deposit_databanks":null,"is_oa":true,"file_count":0,"downloads":0,"has_version_chain":false,"published_date":"2022-01-01","fair_score":null,"fair_percentile":null,"algorithm_id":"datarank_citation_only_1hop_v6","ranking_scope":"data_only","authors":[{"id":1007443,"name":"Mixia Wu","orcid":"0000-0003-4825-9452","position":1,"is_corresponding":false},{"id":85436,"name":"Colin O. Wu","orcid":"0000-0002-4514-0926","position":2,"is_corresponding":false},{"id":1007442,"name":"Xiaoyu Zhang","orcid":"0000-0003-1630-6058","position":0,"is_corresponding":true}],"reference_count":20,"raw_metadata":null,"created_at":"2026-07-19T00:33:28.480200Z","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":[]}