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Decidable lim sup and Borel–Cantelli-like lemmas for random sequences

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  • Davie, George
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    Abstract

    We prove computable versions of limsup events and Borel–Cantelli-like results for algorithmically random sequences using a coefficient from Kolmogorov complexity. In particular we show that under suitable conditions on events, limsup is layerwise decidable.

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    Bibliographic Info

    Article provided by Elsevier in its journal Statistics & Probability Letters.

    Volume (Year): 83 (2013)
    Issue (Month): 1 ()
    Pages: 278-285

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    Handle: RePEc:eee:stapro:v:83:y:2013:i:1:p:278-285

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    Related research

    Keywords: Algorithmically random sequence; Layerwise decidable; Effective Borel–Cantelli lemmas; Kolmogorov complexity; Compressibility coefficient;

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