Regenerative Sampling and Monotonic Branching Processes.
SOUTH CAROLINA UNIV COLUMBIA DEPT OF STATISTICS
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A regenerative sampling plan is proposed for the sequential comparison of two populations having positive integral response. It is designed to be both an extension and an improvement of the play-the-winner rules for binary trials in the sense that a much wider variety of responses is allowed, the fraction of inferior selections approaches zero, and th play-the-winner rule is contained as a special cse. Almost sure convergence and moment convergence in the pth order is studied for the fraction of inferior selections and for a maximum likelihood estimator of the mean response. A conditional test of hypothesis is given for the binary case. Author
- Statistics and Probability