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| List of examples | |
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| Preface | |
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| Preliminaries | |
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| Summary | |
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| Starting point | |
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| Role of formal theory of inference | |
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| Some simple models | |
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| Formulation of objectives | |
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| Two broad approaches to statistical inference | |
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| Some further discussion | |
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| Parameters | |
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| Some concepts and simple applications | |
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| Summary | |
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| Likelihood | |
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| Sufficiency | |
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| Exponential family | |
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| Choice of priors for exponential family problems | |
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| Simple frequentist discussion | |
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| Pivots | |
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| Significance tests | |
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| Summary | |
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| General remarks | |
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| Simple significance test | |
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| One- and two-sided tests | |
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| Relation with acceptance and rejection | |
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| Formulation of alternatives and test statistics | |
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| Relation with interval estimation | |
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| Interpretation of significance tests | |
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| Bayesian testing | |
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| More complicated situations | |
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| Summary | |
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| General remarks | |
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| General Bayesian formulation | |
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| Frequentist analysis | |
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| Some more general frequentist developments | |
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| Some further Bayesian examples | |
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| Interpretations of uncertainty | |
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| Summary | |
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| General remarks | |
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| Broad roles of probability | |
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| Frequentist interpretation of upper limits | |
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| Neyman-Pearson operational criteria | |
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| Some general aspects of the frequentist approach | |
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| Yet more on the frequentist approach | |
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| Personalistic probability | |
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| Impersonal degree of belief | |
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| Reference priors | |
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| Temporal coherency | |
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| Degree of belief and frequency | |
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| Statistical implementation of Bayesian analysis | |
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| Model uncertainty | |
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| Consistency of data and prior | |
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| Relevance of frequentist assessment | |
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| Sequential stopping | |
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| A simple classification problem | |
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| Asymptotic theory | |
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| Summary | |
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| General remarks | |
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| Scalar parameter | |
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| Multidimensional parameter | |
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| Nuisance parameters | |
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| Tests and model reduction | |
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| Comparative discussion | |
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| Profile likelihood as an information summarizer | |
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| Constrained estimation | |
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| Semi-asymptotic arguments | |
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| Numerical-analytic aspects | |
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| Higher-order asymptotics | |
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| Further aspects of maximum likelihood | |
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| Summary | |
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| Multimodal likelihoods | |
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| Irregular form | |
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| Singular information matrix | |
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| Failure of model | |
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| Unusual parameter space | |
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| Modified likelihoods | |
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| Additional objectives | |
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| Summary | |
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| Prediction | |
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| Decision analysis | |
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| Point estimation | |
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| Non-likelihood-based methods | |
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| Randomization-based analysis | |
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| Summary | |
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| General remarks | |
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| Sampling a finite population | |
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| Design of experiments | |
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| A brief history | |
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| A personal view | |
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| References | |
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| Author index | |
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| Subject index | |