Mathematical tools for hazard function analysis

✍ Scribed by Richard A. Chechile

• Publisher: Elsevier Science
• Year: 2003
• Tongue: English
• Weight: 287 KB
• Volume: 47
• Category: Article
• ISSN: 0022-2496
• DOI: 10.1016/s0022-2496(03)00063-4

✦ Synopsis

A hazard function is a characterization of the risk of an event occurring at a given point, conditionalized by the fact that the event has not already occurred. A mathematical analysis is the preferred means for learning about the critical features of the hazard function. For both continuous and discrete probability distributions, theorems are provided that enable the critical features of the hazard function to be ascertained. Methods are also described for obtaining the underlying probability distribution from the hazard function. The mixture of stochastic processes, the convolution of random variables, and disjunctive/conjunctive systems are discussed in the context of hazard function analysis.