The Likelihood Principle

ancillary statistic argue argument Barnard Basu Bayes Bayesian analysis Berger betting Birnbaum 1962a Borel censoring mechanism Censoring Principle classical conclusion conditional confidence conditionalist Confidence Principle criticism Dawid defined density depend discrete E₁ E₂ error probabilities estimator Ev(E Evaluation Game Example 20 experimenter finitely additive fixed sample Fraser frequency measures frequentist measures given Godambe hence Hinkley improper prior incoherent interpretation intuitive issue likelihood function likelihood principle measures of evidence methods noninformative prior nuisance parameter nuisance variable observed performance Player possible posterior distribution posterior probability prior distribution problem procedure random variable reasonable reject sample space seems sequential significance testing simple situations Sprott Statistical Inference statisticians Stein stopping rule Stopping Rule Principle sufficiency principle sufficient statistic Suppose theorem theory theta U₁ U₂ uniform prior unknown viewpoint violation x₁ zero