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Statistical Information: A Bayesian Perspective
We explore the concept of information in statistics: information about unknown quantities of interest, the parameters. We discuss intuitive ideas of what should be information in statistics. Our approach on information is divided in two scenarios: observed data and planning of an experiment. On the first scenario, we discuss the Sufficiency Principle, the Conditionality Principle, the Likelihood Principle and their relationship with trivial experiments. We also provide applications of somedoi:10.3390/e14112254 fatcat:e5k5caeo5nhixdpvcyffdzixi4