HjorthDistribution

HjorthDistribution[m,s,f]

represents the Hjorth distribution with location parameter m, scale parameter s, and shape parameter f.

Details

  • HjorthDistribution is a distribution that has been applied in reliability analysis for modeling different classes of failure behavior.
  • The survival function for value in a Hjorth distribution is given by for and otherwise.
  • HjorthDistribution[m,s,f] allows m and s to be any real positive numbers and f to be any non-negative real number.
  • HjorthDistribution[m,s,f] allows m, s and f to be any quantities such that m*s and m*f are dimensionless.  »
  • HjorthDistribution can be used with such functions as Mean, CDF, and RandomVariate.

Examples

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Basic Examples  (3)

Probability density function for different parameter values:

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Cumulative distribution function for different parameter values:

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Mean:

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Variance is available numerically:

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Scope  (6)

Applications  (5)

Properties & Relations  (5)

Possible Issues  (5)

Neat Examples  (1)

See Also

ExponentialDistribution  RayleighDistribution  GammaDistribution  ReliabilityDistribution  HazardFunction  WeibullDistribution

Tutorials

Introduced in 2017
(11.1)