Abstract
As we have seen in previous chapters use of the likelihood is important in frequentist methods and in Bayesian methods. In this chapter we explore the use of the likelihood function in another context, that of providing a self-contained method of statistical inference. Richard Royall in his book, Statistical Evidence: A Likelihood Paradigm, carefully developed the foundation for this method building on the work of Ian Hacking and Anthony Edwards. Royall lists three questions of interest to statisticians and scientists after having observed some data
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1.
What do I do?
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2.
What do I believe?
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3.
What evidence do I now have?
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Robbins, H.: Statistical methods related to the law of the iterated logarithm. Ann. Math. Stat. 41, 1397–1409 (1970)
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Rohde, C.A. (2014). Pure Likelihood Methods. In: Introductory Statistical Inference with the Likelihood Function. Springer, Cham. https://doi.org/10.1007/978-3-319-10461-4_17
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DOI: https://doi.org/10.1007/978-3-319-10461-4_17
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Online ISBN: 978-3-319-10461-4
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