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- In probability theory and statistics, the normal-inverse-gamma distribution (or Gaussian-inverse-gamma distribution) is a four-parameter family of multivariate continuous probability distributions. It is the conjugate prior of a normal distribution with unknown mean and variance. (en)
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- 11792 (xsd:nonNegativeInteger)
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- normal-inverse-gamma (en)
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- For probability density function is
Marginal distribution over is
Except for normalization factor, expression under the integral coincides with Inverse-gamma distribution
with , , .
Since , and
Substituting this expression and factoring dependence on ,
Shape of generalized Student's t-distribution is
.
Marginal distribution follows t-distribution with
degrees of freedom
. (en)
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- In probability theory and statistics, the normal-inverse-gamma distribution (or Gaussian-inverse-gamma distribution) is a four-parameter family of multivariate continuous probability distributions. It is the conjugate prior of a normal distribution with unknown mean and variance. (en)
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- Normal-inverse-gamma distribution (en)
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