This is a nice overview of competing risks that draws important distinctions from the Cox proportional hazards model.
James J. Dignam, Qiang Zhang, and Maria N. Kocherginsky. The Use and Interpretation of Competing Risks Regression Models. Clinical Cancer Research, 2012-04-15, 18(8): 2301–2308. doi:10.1158/1078-0432.CCR-11-2097. Available in html format or pdf format.