GompertzMakehamDistribution

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

GompertzMakehamDistribution[λ,ξ,θ,α]
represents a GompertzMakeham distribution with parameters λ, ξ, θ, and α.

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 GompertzMakeham distribution is given by for and is zero for .
  • GompertzMakehamDistribution allows λ and ξ to be any positive real numbers and θ and α any nonnegative 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 GompertzMakeham distribution:

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Cumulative distribution function of GompertzMakeham distribution:

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Mean and variance of a Gompertz distribution:

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Median of Gompertz distribution:

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Introduced in 2010
(8.0)