We introduce an information criterion, PCIC, for predictive evaluation based on quasi-posterior distributions. It is regarded as a natural generalisation of the widely applicable information criterion (WAIC) and can be computed via a single Markov chain Monte Carlo run. PCIC is useful in a variety of predictive settings that are not well dealt with in WAIC, including weighted likelihood inference and quasi-Bayesian prediction

翻译：我们引入了基于准别种分布的预测性评价信息标准PCIC, 即PCIC, 被视为对广泛适用的信息标准的自然概括,可以通过单一的Markov连链Monte Carlo 运行来计算。 PCIC在WAC没有很好处理的各种预测环境中非常有用,包括加权概率推断和准Bayesian预测。