Another conjugate family for the normal distribution
K. B. Athreya
Statistics & Probability Letters, 1986, vol. 4, issue 2, 61-64
Abstract:
It is shown that the family of densities f(z) = czp exp([lambda]1z-1 + [lambda]2z), [lambda]1, [lambda]2 [greater-or-equal, slanted] o, - [infinity] 0, as marginals for the variance gives rise to a new conjugate family for the normal distribution. This family includes the normal gamma family and is minimal in an appropriate sense. This family is known as the generalized inverse Gaussian distribution.
Keywords: conjugate; priors; normal; distribution; generalized; inverse; Gaussian (search for similar items in EconPapers)
Date: 1986
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