Assumptions regarding right censoring in the presence of left truncation |
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| Affiliation: | 1. Division of Biostatistics and Epidemiology, University of Massachusetts, Amherst, MA 01003, USA;2. Department of Biostatistics, Harvard School of Public Health, Boston, MA 02115, USA;1. Mathematics Research Unit, University of Luxembourg, Campus Kirchberg, 6 rue Richard Coudenhove-Kalergi, L-1359 Luxembourg, Grand-Duchy of Luxembourg, Luxembourg;2. Faculté des Sciences de Tunis, Campus Universitaire 2092 - El Manar Tunis, Tunisie;1. Department of Mathematics, Tsinghua University, China;2. Institute of Applied Mathematics, AMSS, CAS, Beijing, China;1. Department of Mathematics and Computer Science, University of Southern Denmark, Campusvej 55, 5230 Odense M, Denmark;2. Institut Recherche Mathématique Avancée, UMR 7501, Université de Strasbourg et CNRS, 7 rue René Descartes, 67084 Strasbourg cedex, France;3. Department of Mathematical Statistics and Actuarial Science, University of the Free State, 205 Nelson Mandela drive, Park West, 9300 Bloemfontein, South Africa;1. University of Lausanne, UNIL-Dorigny 1015 Lausanne, Switzerland;2. Université de Lyon, F-69622 Lyon, France;3. Université Lyon 1, Laboratoire SAF, EA 2429, Institut de Science Financière et d’Assurances, 50 Avenue Tony Garnier, F-69007 Lyon, France;1. Department of Statistics, The George Washington University, Washington, DC 20052, USA;2. Department of Statistics, Purdue University, West Lafayette, IN 47907, USA;1. Institute of Finance and Development, Nankai University, Tianjin 300071, China;2. School of Mathematical Sciences and LPMC, Nankai University, Tianjin 300071, China;3. School of Business, Nankai University, Tianjin 300071, China |
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| Abstract: | ![]()
Clinical studies using complex sampling often involve both truncation and censoring, where there are options for the assumptions of independence of censoring and event and for the relationship between censoring and truncation. In this paper, we clarify these choices, show certain equivalences, and provide examples. |
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| Keywords: | Censoring Cross-sectional sampling Quasi-independence Truncation |
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