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Hazard Function


The hazard function (also known as the failure rate, hazard rate, or force of mortality) h(x) is the ratio of the probability density function P(x) to the survival function S(x), given by

h(x)=(P(x))/(S(x))
(1)
=(P(x))/(1-D(x)),
(2)

where D(x) is the distribution function (Evans et al. 2000, p. 13).


See also

Mills Ratio, Probability Density Function, Survival Function

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References

Evans, M.; Hastings, N.; and Peacock, B. Statistical Distributions, 3rd ed. New York: Wiley, 2000.

Referenced on Wolfram|Alpha

Hazard Function

Cite this as:

Weisstein, Eric W. "Hazard Function." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/HazardFunction.html

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