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A DYNAMIC COMPETING RISKS MODEL

Probability in the Engineering and Informational Sciences, 1999
We consider a series system with p components where the failure rate of each component depends on the residual number of defects present. Successive tasks are given to the system with each task completion time independent of each component failure time. Based on the outcomes over a fixed testing period, the asymptotic properties of the estimators
Agustin, Marcus A., Peña, Edsel A.
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Understanding Competing Risks

International Journal of Radiation Oncology*Biology*Physics, 2021
Basak, Ramsankar   +2 more
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Cumulative Incidence in Competing Risks Data and Competing Risks Regression Analysis

Clinical Cancer Research, 2007
Abstract Competing risks occur commonly in medical research. For example, both treatment-related mortality and disease recurrence are important outcomes of interest and well-known competing risks in cancer research. In the analysis of competing risks data, methods of standard survival analysis such as the Kaplan-Meier method for ...
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Compartmental models and competing risk

Mathematical Biosciences, 1994
General compartmental models are derived using competing risk arguments. When the risk variables are exponential, the results specialize to the standard stationary Markov compartmental model. Iterative methods of solving the fundamental integral equation are given, and the uniqueness of the solution is incidentally established. The analysis is extended
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Competing Risks in Low-Risk Breast Cancer

American Society of Clinical Oncology Educational Book, 2013
In recent years a growing amount of data on prognostic features of breast cancer has allowed for identification of tumors with a very low risk of recurrence. Markers used to predict the risk of distant spread include classic clinicopathologic features as well as newer tumor gene signatures, which have been validated and are being used in cohorts of ...
Kathrin, Strasser-Weippl, Paul E, Goss
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Identifiability Crises in Competing Risks

International Statistical Review / Revue Internationale de Statistique, 1994
Summary: Difficulties and pitfalls of dependency modelling in Statistics are very well illustrated by problems of identifiability in Competing Risks. This paper gives a review of such problems with examples intended to animate the theoretical results. The problems covered arise through the traditional way of modelling Competing Risks via latent failure
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Competing Risks and Time‐Dependent Covariates

Biometrical Journal, 2010
AbstractTime‐dependent covariates are frequently encountered in regression analysis for event history data and competing risks. They are often essential predictors, which cannot be substituted by time‐fixed covariates. This study briefly recalls the different types of time‐dependent covariates, as classified by Kalbfleisch and Prentice [The Statistical
CORTESE, GIULIANA, Andersen P. K.
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Competing approaches to analysis of failure times with competing risks

Statistics in Medicine, 2001
AbstractFor the analysis of time to event data in contraceptive studies when individuals are subject to competing causes for discontinuation, some authors have recently advocated the use of the cumulative incidence rate as a more appropriate measure to summarize data than the complement of the Kaplan–Meier estimate of discontinuation. The former method
T M, Farley, M M, Ali, E, Slaymaker
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On the mathematics of competing risks.

Vital and health statistics. Series 2, Data evaluation and methods research, 1979
Translation from Vital and Health statistics: Series 2, Data Evaluation and Methods Research, No.77 (1979; Zbl 0396.62077).
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An Introduction to Competing Risks Analysis

Revista Española de Cardiología (English Edition), 2011
The need to develop treatments and/or programs specific to a disease requires the analysis of outcomes to be specific to that disease. Such endpoints as heart failure, death due to a specific disease, or control of local disease in cancer may become impossible to observe due to a prior occurrence of a different type of event (such as death from another
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