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    Likelihoodists, who reject Bayesian prior probabilities, ... — Carmelics
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    Home/Skepticism
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    Likelihoodists, who reject Bayesian prior probabilities, may still embrace the Likelihood Ratio Convergence Theorem.

    Skepticism
    ?Rate how convincing each reason is below to see the overall strength.
    1 reason for
    2 reasons against

    Reasons For

    1 perspective
    Reason for
    ?
    • 1.The Likelihood Ratio Convergence Theorem draws only on likelihoods.
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    • 2.The statement and proof of the Likelihood Ratio Convergence Theorem do not employ prior probabilities of any kind.
      ?

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    Reasons Against

    2 perspectives
    Reason against 1 of 2
    ?
    • 1.Likelihoods themselves presuppose a sampling model whose selection reflects implicit prior commitments about which hypotheses are worth comparing.
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    • 2.The Likelihood Ratio Convergence Theorem's practical application requires specifying a hypothesis space, and delimiting that space embeds prior probabilistic judgments.
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    • 3.A theorem that is prior-free in its formal statement can still require prior-laden choices to generate the likelihoods it operates on, as Deborah Mayo's error-statistical critique of Bayesianism implies.
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    Reason against 2 of 2
    ?
    • 1.The Likelihood Ratio Convergence Theorem guarantees convergence only given that the true hypothesis is included in the comparison set.
      ?

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    • 2.Selecting which hypotheses to include in a likelihood ratio comparison is not itself licensed by likelihoods alone, requiring a prior probability-like commitment.
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    • 3.Ian Hacking's early likelihoodism acknowledged this gap, conceding that likelihoods cannot adjudicate the choice of the hypothesis space itself.
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    Related

    A theorem that is prior-free in its formal statement can still require prior-lad...Ian Hacking's early likelihoodism acknowledged this gap, conceding that likeliho...Likelihoods themselves presuppose a sampling model whose selection reflects impl...Selecting which hypotheses to include in a likelihood ratio comparison is not it...
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    The Likelihood Ratio Convergence Theorem draws only on likelihoods.The Likelihood Ratio Convergence Theorem guarantees convergence only given that ...The Likelihood Ratio Convergence Theorem's practical application requires specif...The statement and proof of the Likelihood Ratio Convergence Theorem do not emplo...

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    The statement and proof of the Likelihood Ratio Convergence Theorem do...81%Liberal Bayesianism, by permitting non-rule-based revision of prior pr...77%Paraconsistentists may reject the inference from □¬p to ¬◇p76%Despite differing priors, the Likelihood Ratio Convergence Theorem dri...76%

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    The theorem itself does not require the full apparatus of Bayesian probability functions. It draws only on likelihoods. Neither the statement of the theorem nor its proof employ prior probabilities of any kind. So even likelihoodists, who eschew the use of Bayesian prior probabilities, may embrace this result. Given the forms of Bayes’ Theorem, 9*-11 from the previous section, the Likelihood Ratio Convergence Theorem further implies the likely convergence to 0 of the posterior probabilities of f
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    Details

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    claim
    Perspectives
    3 (1 for, 2 against)
    Edits
    1 edit