论文标题
结合证据
Combining Evidence
论文作者
论文摘要
讨论了将有关未知数的证据相结合的问题，即$ k $贝叶斯推理基础中包含的未知数。这可以被认为是汇总$ k $先验以确定共识之前的问题的概括。线性意见库（1961）被认为具有该角色最合适的特性。特别是，线性池在证据和其他规则方面保留了共识。虽然线性池并不能保留先前的独立性，但表明它仍然相对于在这种情况下的证据表达中表现得很适当。对于结合证据的一般问题，杰弗里条件化起着关键作用。
The problem of combining the evidence concerning an unknown, contained in each of $k$ Bayesian inference bases, is discussed. This can be considered as a generalization of the problem of pooling $k$ priors to determine a consensus prior. The linear opinion pool of Stone (1961) is seen to have the most appropriate properties for this role. In particular, linear pooling preserves a consensus with respect to the evidence and other rules do not. While linear pooling does not preserve prior independence, it is shown that it still behaves appropriately with respect to the expression of evidence in such a context. For the general problem of combining evidence, Jeffrey conditionalization plays a key role.
