Premium
THE THEORY OF COMPETING RISKS 1
Author(s) -
David H. A.
Publication year - 1976
Publication title -
australian journal of statistics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.434
H-Index - 41
eISSN - 1467-842X
pISSN - 0004-9581
DOI - 10.1111/j.1467-842x.1976.tb01285.x
Subject(s) - notation , identifiability , mathematical economics , set (abstract data type) , risk theory , subject (documents) , hazard , point (geometry) , computer science , epistemology , mathematics , actuarial science , economics , philosophy , statistics , chemistry , geometry , arithmetic , organic chemistry , library science , programming language
Summary The theory of competing risks is motivated, certain aspects are reviewed critically, and some extensions are indicated. A unified formulation of the theory is given covering dependent as well as independent risks. The relations between various functions useful in the theory are made explicit. In a historical note a valuable early result is put into modern notation. The currently controversial subject of identifiability when risks are dependent is discussed and it is indicated under what conditions some of the difficulties raised can be overcome. Consequences of assuming proportional hazard rates are set out. New conditions are provided under which this assumption holds and it is shown how the assumption may be tested. Some concluding remarks deal with limitations of the theory and point out areas needing further work.