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Bayesian Inference

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All of Statistics

Part of the book series: Springer Texts in Statistics ((STS))

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Abstract

The statistical methods that we have discussed so far are known as frequentist (or classical) methods. The frequentist point of view is based on the following postulates:

  1. F1

    Probability refers to limiting relative frequencies. Probabilities are objective properties of the real world.

  2. F2

    Parameters are fixed, unknown constants. Because they are not fluctuating, no useful probability statements can be made about parameters.

  3. F3

    Statistical procedures should be designed to have well-defined long run frequency properties. For example, a 95 percent confidence interval should trap the true value of the parameter with limiting frequency at least 95 percent.

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Wasserman, L. (2004). Bayesian Inference. In: All of Statistics. Springer Texts in Statistics. Springer, New York, NY. https://doi.org/10.1007/978-0-387-21736-9_11

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  • DOI: https://doi.org/10.1007/978-0-387-21736-9_11

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  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4419-2322-6

  • Online ISBN: 978-0-387-21736-9

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