HazardFunction
HazardFunction[dist,x]
gives the hazard function for the distribution dist evaluated at x.
HazardFunction[dist,{x1,x2,…}]
gives the multivariate hazard function for the distribution dist evaluated at {x1,x2,…}.
HazardFunction[dist]
gives the hazard function as a pure function.
Details

- HazardFunction is also known as a force of mortality.
- For continuous distributions, HazardFunction[dist,x] dx gives the probability that an observed value lies between x and x+dx, given that it is larger than x for infinitesimal dx.
- For continuous distributions, HazardFunction[dist,x] dx is equivalent to Probability[x≤ξ<x+dxξ≥x,ξdist] for infinitesimal dx. »
- For discrete distributions, HazardFunction[dist,x] is equivalent to Probability[ξxξ≥x,ξdist].
- For continuous multivariate distributions, HazardFunction[dist,{x1,…,xn}]dx1 ⋯ dxn is equivalent to Probability[x1≤ξ1<x1+dx1∧⋯∧xn≤ξn<xn+dxnξ1≥x1∧⋯∧ξn≥xn,{ξ1,…,ξn}dist].
- For discrete multivariate distributions, HazardFunction[dist,{x1,…,xn}] is equivalent to Probability[ξ1x1∧⋯ ∧ξnxnξ1≥x1∧⋯∧ξn≥xn,{ξ1,…,ξn}dist].
Examples
open allclose allBasic Examples (4)
Scope (20)
Generalizations & Extensions (1)
Applications (4)
Properties & Relations (3)
Possible Issues (2)
See Also
Related Guides
Introduced in 2010
(8.0)