Predictive Inference, Sufficiency, Entropy and an Asymptotic Likelihood Principle
预测推断、充分性、熵与渐近似然原则
The objective of inferring stochastic models from a set of data is to obtain the best description, by using a probability model, of the statistical behaviour of future samples of the process. A conceptual repeated sampling experiment is considered for evaluating a predictive distribution used to describe such future observations and leads to an asymptotic likelihood principle. Considerations of likelihood and sufficiency lead to the use of entropy or the Kullback–Leibler…