• DocumentCode
    935542
  • Title

    On a direct method of analysis and synthesis of the SPRT

  • Author

    Vrana, Ivan

  • Volume
    28
  • Issue
    6
  • fYear
    1982
  • fDate
    11/1/1982 12:00:00 AM
  • Firstpage
    905
  • Lastpage
    911
  • Abstract
    The behavior of the sequential probability ratio test (SPRT) can be described using four performance measures, i.e., the probabilities of both types of error \\alpha _{0}, \\alpha _{1} , and the average test lengths (or sample sizes) E_{0}, E_{1} for the given decision problem. Whereas Bayes optimality of the SPRT is well-known from the work of Wald and Wolfowitz, there is no method to evaluate the performance measures except for Wald\´s approximations. We present a method to evaluate the performance measures given the thresholds of the SPRT.
  • Keywords
    Sequential decision procedures; Costs; Equations; Error probability; Length measurement; Probability density function; Random variables; Seminars; Sequential analysis; Testing;
  • fLanguage
    English
  • Journal_Title
    Information Theory, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9448
  • Type

    jour

  • DOI
    10.1109/TIT.1982.1056577
  • Filename
    1056577