GompertzMakehamDistribution

GompertzMakehamDistribution[, ]
represents a Gompertz distribution with scale parameter and frailty parameter .

GompertzMakehamDistribution[, , , ]
represents a Gompertz-Makeham distribution with parameters , , , and .

DetailsDetails

  • 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.

ExamplesExamplesopen allclose all

Basic Examples (6)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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