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Sequential Analysis
Design Methods and Applications
Volume 26, 2007 - Issue 4
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Original Articles

Distributions of Sequential and Two-Stage Stopping Times for Fixed-Width Confidence Intervals in Bernoulli Trials: Application in Reliability

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Pages 425-441 | Received 14 Aug 2006, Accepted 06 Apr 2007, Published online: 26 Oct 2007

REFERENCES

  • Anscombe , F. J. ( 1952 ). Large Sample Theory of Sequential Estimation , Proceedings of Cambridge Philosophical Society 48 : 600 – 607 .
  • Chow , Y. S. and Robbins , H. ( 1965 ). On the Asymptotic Theory of Fixed Width Sequential Confidence Intervals for the Mean , Annals of Mathematical Statistics 36 : 457 – 462 .
  • Ghosh , M. , Mukhopadhyay , N. , and Sen , P. K. ( 1997 ). Sequential Estimation , New York : Wiley .
  • Haldane , J. B. S. ( 1956 ). The Estimation and Significance of the Logarithm of a Ratio of Frequencies , Annals of Human Genetics 20 : 309 – 311 .
  • Khan , R. A. ( 1969 ). A General Method of Determining Fixed-Width Confidence Intervals , Annals of Mathematical Statistics 40 : 704 – 709 .
  • Lim , D. L. , Isogai , E. , and Uno , C. ( 2004 ). Two-Sample Fixed-Width Confidence Intervals for a Function of Exponential Scale Parameters , Far East Journal of Theoretical Statistics 14 : 215 – 227 .
  • Liu , J.-F. ( 2000 ). A Note on Two-Stage Point Estimation in Bernoulli Trials , Sequential Analysis 19 : 161 – 176 .
  • Mukhopadhyay , N. and Diaz , J. ( 1985 ). Two-Stage Sampling for Estimating the Mean of a Negative Binomial Distribution , Sequential Analysis 4 : 1 – 18 .
  • Mukhopadhyay , N. and de Silva , B. M. ( 2005 ). Two-Stage Estimation of Mean in a Negative Binomial Distribution with Applications to Mexican Bean Beetle Data , Sequential Analysis 24 : 99 – 137 .
  • Ray , W. D. ( 1957 ). Sequential Confidence Intervals for the Mean of a Normal Population with Unknown Variance , Journal of Royal Statistical Society, Series B 19 : 133 – 143 .
  • Robbins , H. and Siegmund , D. ( 1974 ). Sequential Estimation of p in Bernoulli Trials , in Studies in Probability and Statistics, E. J. G. Pitman Volume , E. J. Williams , ed., pp. 103 – 107 , Jerusalem : Jerusalem Academic Press .
  • Uno , C. ( 2003 ). Sequential Estimation of the Ratio of Scale Parameters in the Exponential Two-Sample Problem , Journal of Japan Statistical Society 33 : 231 – 244 .
  • Willson , L. J. and Folks , J. L. ( 1983 ). Sequential Estimation of the Mean of the Negative Binomial Distribution , Sequential Analysis 2 : 55 – 70 .
  • Recommended by Linda J. Young

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