Franzén, Stefan Fixed length sequential confidence intervals for the probability of response. (English) Zbl 0973.62065 Sequential Anal. 20, No. 1-2, 45-54 (2001). Summary: We present a fixed length confidence interval for a proportion, using the distribution of the terminal point under a stopping rule. We will show that under a natural order restriction on the set of terminal points given by the stopping rule we are able to use the distribution of the terminal point to calculate a confidence interval in a way similar to what we use in the fixed sample size case. We then select a stopping rule which gives at most the correct length of the confidence interval. Cited in 2 Documents MSC: 62L12 Sequential estimation 62L10 Sequential statistical analysis Keywords:exact; Bernoulli distribution; stochastic monotonicity; stopping rule; proportion PDFBibTeX XMLCite \textit{S. Franzén}, Sequential Anal. 20, No. 1--2, 45--54 (2001; Zbl 0973.62065) Full Text: DOI References: [1] DOI: 10.1017/S0305004100076386 · doi:10.1017/S0305004100076386 [2] Anscombe F. J., JRSS 15 pp 1– (1953) [3] DOI: 10.1080/07474948808836146 · Zbl 0669.62073 · doi:10.1080/07474948808836146 [4] Chow Y. S., AMS 36 pp 457– (1965) [5] Ghosh B. K., Addison-Wesley (1970) [6] Govindarajulu Z., American sciences press (1981) [7] DOI: 10.1214/aos/1176345639 · Zbl 0478.62068 · doi:10.1214/aos/1176345639 [8] DOI: 10.1080/03610929508831569 · Zbl 0850.62313 · doi:10.1080/03610929508831569 [9] DOI: 10.1080/07474949808836409 · Zbl 0914.62059 · doi:10.1080/07474949808836409 [10] DOI: 10.1214/aoms/1177728487 · Zbl 0065.11906 · doi:10.1214/aoms/1177728487 [11] DOI: 10.1214/aoms/1177731088 · Zbl 0060.30403 · doi:10.1214/aoms/1177731088 [12] DOI: 10.1007/BF02868870 · Zbl 0144.41502 · doi:10.1007/BF02868870 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.