Bayesian Analysis of the Independent Multi-Normal Process--Neither Mean Nor Precision Known

Bayesian Analysis of the Independent Multi-Normal Process--Neither Mean Nor Precision Known
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独立多正态过程的贝叶斯分析——均值和精度均未知

DOI:
10.1080/01621459.1965.10480797
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发表时间:
2011
期刊:
Journal of the Royal Statistical Society: Series B (Statistical Methodology)
影响因子:
--
通讯作者:
G. Kaufman
G. Kaufman
中科院分区:
--
文献类型:
--
作者:
A. Ando;G. Kaufman

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Abstract Under the assumption that neither the mean vector nor the variance-covariance matrix are known with certainty, the natural conjugate family of prior densities for the multivariate Normal process is identified. Prior-posterior and preposterior analysis is done assuming that the prior is in the natural conjugate family. A procedure is presented for obtaining non-degenerate joint posterior and preposterior distributions of all parameters even when the number of objective sample observations is less than the number of parameters of the process.