On scale mixtures of normal distributions

On scale mixtures of normal distributions
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DOI:
10.1093/biomet/74.3.646
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发表时间:
1987-09
期刊:
影响因子:
2.7
通讯作者:
M. West
M. West
中科院分区:
数学2区
文献类型:
--
作者:
M. West

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Box & Tiao(1973)的指数幂分布族被证明是正态尺度混合分布族的一个子集。相应的混合分布明确获得,确定指数幂族和另一类正常规模的混合物,即稳定分布之间的密切关系。
SUMMARY The exponential power family of distributions of Box & Tiao (1973) is shown to be a subset of the class of scale mixtures of normals. The corresponding mixing distributions are explicitly obtained, identifying a close relationship between the exponential power family and a further class of normal scale mixtures, namely the stable distributions.