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BetaPrimeDistribution
BetaPrimeDistribution[p, q]
represents a beta prime distribution with shape parameters p and q.
BetaPrimeDistribution[p, q, 
]
represents a generalized beta prime distribution with scale parameter .
BetaPrimeDistribution[p, q, 
, ]
represents a generalized beta distribution of the second kind with shape parameter .
Details
- BetaPrimeDistribution[1, q, 1, ] is also known as Lomax distribution.
- The probability density for value
in a beta prime distribution is proportional to 
for 
. - BetaPrimeDistribution allows p, q, , and to be any positive real numbers.
- BetaPrimeDistribution can be used with such functions as Mean, CDF, and RandomVariate.
Examplesopen all
Basic Examples (12)
Probability density function of a beta prime distribution:
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Cumulative distribution function for a beta prime distribution:
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Mean and variance of a beta prime distribution:
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Median of a beta prime distribution:
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Probability density function of a generalized beta prime distribution:
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Cumulative distribution function of a generalized beta prime distribution:
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Mean and variance of a generalized beta prime distribution:
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Median of a generalized beta prime distribution:
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Probability density function of a generalized beta distribution of the second kind:
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Cumulative distribution function of a generalized beta distribution of the second kind:
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Mean and variance of a generalized beta distribution of the second kind:
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Median of a generalized beta distribution of the second kind:
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