Appendix 2: An Introduction to the Counting Process Approach to Survival Analysis

2011 ◽  
pp. 359-363
Keyword(s):  
Survival Analysis ◽  
Counting Process ◽  
Process Approach

scholarly journals A note on random intensities and conditional survival functions

1988 ◽  
Vol 25 (03) ◽  
pp. 630-635 ◽  
Author(s):  
Anatoli Yashin ◽  
Elja Arjas
Keyword(s):  
Survival Analysis ◽  
Random Process ◽  
Failure Probability ◽  
Counting Process ◽  
Sufficient Conditions ◽  
Necessary And Sufficient Conditions ◽  
Conditional Survival ◽  
Survival Functions ◽  
Exponential Formula ◽  
Necessary And Sufficient

Failure intensities in which the evaluation of hazard is based on the observation of an auxiliary random process have become very popular in survival analysis. While their definition is well known, either as the derivative of a conditional failure probability or in the counting process and martingale framework, their relationship to conditional survival functions does not seem to be equally well understood. This paper gives a set of necessary and sufficient conditions for the so-called exponential formula in this context.

scholarly journals Kinetics of postdiagnosis platelet count with overall survival of pancreatic cancer: a counting process approach

2016 ◽  
Vol 5 (5) ◽  
pp. 881-887 ◽  
Author(s):  
Yuanyuan Xiao ◽  
Hua Xie ◽  
Zhihui Xie ◽  
Zhenyi Shao ◽  
Wen Chen ◽  
...  
Keyword(s):  
Pancreatic Cancer ◽  
Overall Survival ◽  
Platelet Count ◽  
Counting Process ◽  
Process Approach ◽  
Kinetics Of
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