TY - GEN
T1 - Quantiles of residual survival
AU - Cox, Christopher
AU - Schneider, Michael F.
AU - Muñoz, Alvaro
N1 - Publisher Copyright:
© Springer Science+Business Media New York 2013.
PY - 2013
Y1 - 2013
N2 - In reliability theory, the lifetime remaining in a network of components after an initial run-in period is an important property of the system. Similarly, for medical interventions residual survival characterizes the subsequent experience of patients who survive beyond the beginning of follow-up. Here we show how quantiles of the residual survival distribution can be used to provide such a characterization. We first discuss properties of the residual quantile function and its close relationship to the hazard function.We then consider parametric estimation of the residual quantile function, focusing on the generalized gamma distribution. Finally, we describe an application of quantiles of residual survival to help describe the effects at the population level of the introduction and sustained use of highly active antiretroviral therapy for the treatment of HIV/AIDS.
AB - In reliability theory, the lifetime remaining in a network of components after an initial run-in period is an important property of the system. Similarly, for medical interventions residual survival characterizes the subsequent experience of patients who survive beyond the beginning of follow-up. Here we show how quantiles of the residual survival distribution can be used to provide such a characterization. We first discuss properties of the residual quantile function and its close relationship to the hazard function.We then consider parametric estimation of the residual quantile function, focusing on the generalized gamma distribution. Finally, we describe an application of quantiles of residual survival to help describe the effects at the population level of the introduction and sustained use of highly active antiretroviral therapy for the treatment of HIV/AIDS.
UR - http://www.scopus.com/inward/record.url?scp=84945963631&partnerID=8YFLogxK
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U2 - 10.1007/978-1-4614-8981-8_6
DO - 10.1007/978-1-4614-8981-8_6
M3 - Conference contribution
AN - SCOPUS:84945963631
SN - 9781461489801
T3 - Lecture Notes in Statistics
SP - 87
EP - 103
BT - Risk Assessment and Evaluation of Predictions
A2 - Gandy, Axel
A2 - Satten, Glen
A2 - Gail, Mitchell
A2 - Pfeiffer, Ruth
A2 - Cai, Tianxi
A2 - Lee, Mei-Ling Ting
PB - Springer Science and Business Media, LLC
T2 - International conference on Risk Assessment and Evaluation of Predictions, 2011
Y2 - 12 October 2011 through 14 October 2011
ER -