Christopher Jennison

Confidence Intervals for a Binomial Parameter Following a Multistage Test With Application to MIL-STD 105D and Medical Trials

This paper describes a method for constructing confidence intervals for a binomial parameter upon termination of a sequential or multistage test. Tables are presented for use with the MIL-STD 105D multiple sampling plans for acceptance sampling. Also given are tables for use with some three-stage schemes that have been proposed in connection with biomedical trials. The results are compared with confidence intervals calculated as if the sampling plan had been one with a fixed sample size.

On the expected sample size for the bechhofer kulkarni bernoulli selection procedure

Bechhofer and Kulkarni (1982a) proposed a sequential procedure for selecting the best of k≥2 Bernoulli populations, and in a subsequent paper (1982b) gave an upper bound for the expected number of observations taken from each population by this procedure. In this note we present an asymptotically correct approximation to the expected sample size taken from each population and a slightly improved upper bound on these expected sample sizes.