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## Continuous Distributions## Distribution TypesEasyFit supports a number of continuous distributions divided into four categories (distribution types): - bounded;
- unbounded;
- non-negative;
- advanced.
## Bounded DistributionsThe bounded distributions have a range of [a, b]: ## Unbounded DistributionsThe unbounded distributions have a range of (-Infinity, +Infinity): - Cauchy
- Error
- Error Function
- Gumbel Max
- Gumbel Min
- Hyperbolic Secant
- Johnson SU
- Laplace (Double Exponential)
- Logistic
- Normal
- Student's t
## Non-Negative DistributionsMost of the non-negative distributions are defined for, so , where (gamma) is a continuous location parameter.
The non-negative distributions can be simplified if we set the location
parameter to a fixed value of 0. This
Thus, most supported non-negative distribution are available in two different forms,
or versions: EasyFit supports the following non-negative distributions:
## Advanced DistributionsSince the classification of continuous distributions used in EasyFit is based on the range of definition, some of them do not fall into any of the above mentioned categories. At the same time, they often represent much more valid models than many other distributions. The following advanced distributions are supported: - Generalized Extreme Value
- Generalized Logistic
- Generalized Pareto
- Log-Pearson 3
- Phased Bi-Exponential
- Phased Bi-Weibull
- Wakeby
The phased distributions are mainly utilized in reliability analysis, while the Wakeby distribution is widely used for the modelling of extreme events. Each of the supported generalized distributions combines two or more simpler distributions. For example, the generalized extreme value (GEV) distribution combines the Gumbel, Frechet, and Weibull families. |
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