BUILT-IN MATHEMATICA SYMBOL

# JohnsonDistribution

JohnsonDistribution["SB", , , , ]
represents a bounded Johnson distribution with shape parameters , , location parameter , and scale parameter .

JohnsonDistribution["SL", , , , ]
represents a semi-bounded Johnson distribution.

JohnsonDistribution["SU", , , , ]
represents an unbounded Johnson distribution.

JohnsonDistribution["SN", , , , ]
represents a normal Johnson distribution.

## ExamplesExamplesopen allclose all

### Basic Examples (5)Basic Examples (5)

Probability density function for bounded (SB):

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Semi-bounded (SL):

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Unbounded (SU):

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Normal (SN):

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Cumulative distribution function for bounded (SB):

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Semi-bounded (SL):

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Unbounded (SU):

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Normal (SN):

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Mean for bounded (SB) is available numerically:

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Semi-bounded (SL):

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Unbounded (SU):

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Normal (SN):

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Variance for bounded (SB) is available numerically:

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Semi-bounded (SL):

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Unbounded (SU):

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Normal (SN):

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Median for bounded (SB):

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Semi-bounded (SL):

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Unbounded (SU):

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Normal (SN):

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