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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.
Details
- JohnsonDistribution represents the Johnson system of distributions. Each distribution represents the distribution of the form
, where 
is from NormalDistribution[]. - JohnsonDistribution["SB", , , , ] corresponds to
. - JohnsonDistribution["SL", , , , ] corresponds to
. - JohnsonDistribution["SU", , , , ] corresponds to
. - JohnsonDistribution["SN", , , , ] corresponds to
. - JohnsonDistribution allows and to be any real numbers and and to be any positive real numbers.
- JohnsonDistribution can be used with such functions as Mean, CDF, and RandomVariate.
Examplesopen all
Basic Examples (5)
Probability density function for bounded (SB):
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Cumulative distribution function for bounded (SB):
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Mean for bounded (SB) is available numerically:
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Variance for bounded (SB) is available numerically:
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New in 8
