• DocumentCode
    922826
  • Title

    Necessary and sufficient memory size for m-hypothesis testing

  • Author

    Koplowitz, Jack

  • Volume
    21
  • Issue
    1
  • fYear
    1975
  • fDate
    1/1/1975 12:00:00 AM
  • Firstpage
    44
  • Lastpage
    46
  • Abstract
    Let X_1,X_2, \\cdots be a sequence of independent identically distributed Bernoulli random variables with Pr {X_i = 1 } = p . Consider the m -hypothesis test H_1 : p < p_1, H_2 : p_1 < p < p_ 2, \\cdots versus H_m: p_{m-1} < p < p_m . It is shown that, for a time-varying finite memory, m + 1 states are necessary and sufficient to resolve the correct hypothesis with a zero-limiting probability of error.
  • Keywords
    Decision procedures; Finite-memory methods; Computer errors; Error correction; Helium; Hydrogen; Probability; Random variables; Statistical distributions; Testing;
  • fLanguage
    English
  • Journal_Title
    Information Theory, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9448
  • Type

    jour

  • DOI
    10.1109/TIT.1975.1055332
  • Filename
    1055332