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BUILT-IN MATHEMATICA SYMBOL
GompertzMakehamDistribution
GompertzMakehamDistribution[
, 
]
represents a Gompertz distribution with scale parameter and frailty parameter .
GompertzMakehamDistribution[, , 
, 
]
represents a Gompertz-Makeham distribution with parameters , , , and .
Details
- The hazard function for value
in a Gompertz distribution is given by 
for 
, and is zero for 
. - The hazard function for value
in a Gompertz-Makeham distribution is given by 
for 
and is zero for 
. - GompertzMakehamDistribution allows and to be any positive real numbers and and any non-negative real numbers.
- GompertzMakehamDistribution can be used with such functions as Mean, CDF, and RandomVariate.
Examplesopen all
Basic Examples (6)
Probability density function of Gompertz distribution:
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Cumulative distribution function of Gompertz distribution:
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Probability density function of Gompertz-Makeham distribution:
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Cumulative distribution function of Gompertz-Makeham distribution:
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Mean and variance of a Gompertz distribution:
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Median of Gompertz distribution:
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