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http://hdl.handle.net/1942/37579
Title: | Nonparametric estimation of risk ratios for bivariate data | Authors: | ABRAMS, Steven Janssen, P. SWANEPOEL, Jan VERAVERBEKE, Noel |
Issue Date: | 2022 | Publisher: | TAYLOR & FRANCIS LTD | Source: | JOURNAL OF NONPARAMETRIC STATISTICS, p. 1 -24 | Status: | Early view | Abstract: | Inspired by the cross-ratio proposed by Clayton, we study a new risk ratio to describe the relation between the components of the random vector (T-1, T-2). It is the ratio of the conditional hazard rate function of T-1 at t(1), given that T-2 >= t(2) and the conditional hazard rate function of T-1 at t(1), given that T-2 >= t(2). A nonparametric estimator is proposed and its asymptotic distribution is obtained using Bernstein smoothing for the survival copula of (T-1, T-2) and its derivatives. The finite sample performance of the estimator is studied via simulations. The practical use of the risk ratio is illustrated in two real datasets, one on food expenditure and net income and one on the relation between maximum heart rate and age, for patients suffering from heart disease versus control patients (no heart disease). Extensions of the proposed risk ratio are given in the discussion section. | Notes: | Abrams, S (corresponding author), UHasselt, Data Sci Inst DSI, Interuniv Inst Biostat & Stat Bioinformat I BioSt, Campus Diepenbeek,Agoralaan 1,Bldg D, B-3590 Diepenbeek, Belgium.; Abrams, S (corresponding author), Univ Antwerp, Global Hlth Inst GHI, Doornstr 331, B-2610 Antwerp, Belgium. steven.abrams@uhasselt.be |
Keywords: | Bernstein estimator; copulas; hazard rate; food expenditure data; heart;disease | Document URI: | http://hdl.handle.net/1942/37579 | ISSN: | 1048-5252 | e-ISSN: | 1029-0311 | DOI: | 10.1080/10485252.2022.2085265 | ISI #: | WOS:000809512400001 | Category: | A1 | Type: | Journal Contribution | Validations: | ecoom 2023 |
Appears in Collections: | Research publications |
Files in This Item:
File | Description | Size | Format | |
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NPE_RR_JNPS_final.pdf | Peer-reviewed author version | 3.38 MB | Adobe PDF | View/Open |
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