Skip to content
Carmelics
TopicsThinkersChangesContributorsLoading account…

    Carmelics

    A reasoning platform. Break down any belief into clear reasons, explore both sides, and weigh the evidence honestly.

    Navigate

    • Topics
    • Search
    • Recent Changes
    • Contribute
    • How It Works
    • Glossary
    • Thinkers
    • Contributors
    • About
    • Statistics
    • Terms
    • Privacy

    Database

    Statements
    —
    Perspectives
    —
    Topics
    —

    Press ? for keyboard shortcuts

    LoyalLoyalJusticeJustice
    Made withinDC&Austin
    The Likelihood Ratio Convergence Theorem guarantees that ... — Carmelics
    Statements
    321,452
    Perspectives
    108,905
    Topics
    42
    Home/Modality & Possibility
    HistoryEditSee Inverse

    Part of a larger discussion

    Supports→The posterior probability of the true hypothesis approaches 1 as evidence accumulates.

    The Likelihood Ratio Convergence Theorem guarantees that false competitors' posteriors converge to 0.

    Modality & PossibilityTruth & Knowledge
    ?Rate how convincing each reason is below to see the overall strength.

    No one has weighed in yet. Be the first to share reasons for or against this statement.

    Sign in or register to share your perspective on this statement.

    Topics

    Modality & PossibilityTruth & Knowledge

    Related

    As the posterior probabilities of all false competitors of a true hypothesis fal...The posterior probability of the true hypothesis approaches 1 as evidence accumu...

    Similar

    Next step

    Based on where you are in your exploration

    Browse more in Modality & Possibility
    Related propositions within the same area of thought.
    The Likelihood Ratio Convergence Theorem establishes that posterior pr...93%As the posterior probabilities of all false competitors of a true hypo...83%The Likelihood Ratio Convergence Theorem establishes that such likelih...83%When likelihood ratios approach 0, the posterior probabilities of fals...82%

    Source

    AI-extracted
    SEP: logic-inductive
    View source passageHide passage
    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

    Details

    Type
    premise
    Perspectives
    0 (0 for, 0 against)
    Edits
    1 edit

    Open for perspectives

    This idea is waiting for its first supporting or challenging perspective.

    Share the first perspective