Journal of Probability and Statistics / 2013 / Article / Alg

Research Article

Exact Group Sequential Methods for Estimating a Binomial Proportion

Algorithm 1

Let ,   and .
Let if . Otherwise, let be empty.
While is nonempty, and is greater than max , do the following:
    Split each interval in as two new intervals of equal length.
       Let denote the set of all new intervals obtained from this splitting procedure.
    Eliminate any interval from such that .
    Let be the set processed by the above elimination procedure.
    Let and . Let .
If is empty and , then declare max .
 Otherwise, declare max .

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