BUILT-IN MATHEMATICA SYMBOL
HazardFunction
HazardFunction[dist, x]
gives the hazard function for the symbolic distribution dist evaluated at x.
HazardFunction[dist, {x1, x2, ...}]
gives the multivariate hazard function for the symbolic distribution dist evaluated at 
.
- 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
, given that it is larger than x for infinitesimal dx.
- For continuous distributions, HazardFunction[dist, x] dx is equivalent to Probability[x≤
<x+dx
≥x, 
dist] for infinitesimal dx. »
- For discrete distributions, HazardFunction[dist, x] is equivalent to Probability[=x≥x, dist].
- For continuous multivariate distributions, HazardFunction[dist, {x1, ..., xn}]dx1
dxn is equivalent to Probability[x1≤1<x1+dx1
xn≤n<xn+dxn1≥x1n≥xn, {1, ..., n}dist].
- For discrete multivariate distributions, HazardFunction[dist, {x1, ..., xn}] is equivalent to Probability[1=x1 n=xn1≥x1n≥xn, {1, ..., n}dist].
A hazard function for a continuous univariate distribution:
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The hazard function for a discrete univariate distribution:
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A hazard function for a continuous multivariate distribution:
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A hazard function for a discrete multivariate distribution:
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