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Journal of Quality Technology
A Quarterly Journal of Methods, Applications and Related Topics
Volume 22, 1990 - Issue 3
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Articles

Bernoulli Trials and Discrete Distributions

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Pages 193-205 | Published online: 21 Feb 2018

References

  • Bain, L. J. and Wright, F. T. (1982). “The Negative Binomial Process with Applications.” Journal of Quality Technology 14, pp. 60–66.
  • Bradley, J. V. (1969). “Survey of Sign Tests Based on the Binomial Distribution.” Journal of Quality Technology 1, pp. 89–101.
  • Clemans, K. G. (1959). “Confidence Limits in the Case of the Geometric Distribution.” Biometrika 46, pp. 260–264.
  • David, F. N. and Barton, D. E. (1962). Combinatorial Chance. Charles Griffin and Company, London, United Kingdom.
  • Dempster, A. D.; Laird, N. M.; and Rubin, D. B. (1977). “Maximum Likelihood from Incomplete Data Via the EM Algorithm.” Journal of the Royal Statistical Society B38, pp. 1–22.
  • Dhavale, D. G. (1989). “Computational Approaches to Estimating Negative Binomial Parameters from Count Data.” Journal of Quality Technology 21, pp. 51–64.
  • Dixon, W. J. and Massey, F. J. (1969). Introduction to Statistical Analysis 3rd ed. McGraw-Hill, New York, NY.
  • Fox, B. L. (1966). A Bayesian Approach to Reliability Assessment. RM-5084 NASA, RAND Corporation, Santa Monica, CA.
  • General Electric Company Defense Systems Department (1962). Tables of the Individual and Cumulative Terms of the Poisson Distribution. D. Van Nostrand, Princeton, NJ.
  • Gross, A. J. (1971). “The Application of Exponential Smoothing to Reliability Assessment.” Technometrics 13, pp. 877–883.
  • Guenther, W. C. (1973). “A Sample Size Formula for the Hypergeometric.” Journal of Quality Technology 5, pp. 167–170.
  • Hahn, G. J. (1986). “Estimating the Percent Nonconforming in the Accepted Product After Zero Defect Sampling.” Journal of Quality Technology 18, pp. 182–188.
  • Hahn, G. J. and Shapiro, S. S. (1967). Statistical Models In Engineering. John Wiley & Sons, New York, NY.
  • Harvard University Press (1955). Tables of the Cumulative Binomial Distribution. Harvard University Press, Cambridge, MA.
  • Hasselblad, V.; Stead, A. G.; and Anderson, H. S. (1981). Disfit: A Distribution Fitting System: 1. Discrete Distributions. U.S. Environmental Protection Agency, EPA-600/2-81-010, Research Triangle Park, NC.
  • Jackson, J. E. (1972). “All Count Distributions Are Not Alike.” Journal of Quality Technology 4, pp. 86–89.
  • Johnson, N. L. and Kotz, S. (1969). Discrete Distributions. Houghton Mifflin Company, Boston, MA.
  • Johnson, N. L. and Kotz, S. (1977). Urn Models and Their Applications. John Wiley & Sons, New York, NY.
  • Lauer, G. N. (1978). “Acceptance Probabilities for Sampling Plans Where the Proportion Defective has a Beta Distribution.” Journal of Quality Technology 10, pp. 52–55.
  • Lieberman, G. J. and Owen, D. B. (1961). Tables of the Hypergeometric Probability Distribution. Stanford University Press, Stanford, CA.
  • Mantel, N. (1951). “Evaluation of a Class of Diagnostic Tests.” Biometrics 7, pp. 240–246.
  • Martz, H. F. and Zimmer, W. J. (1990). “A Nonparametric Bayes Empirical Bayes Procedure for Estimating the Percent Nonconforming in Accepted Lots.” Journal of Quality Technology 22, pp. 95–104.
  • Mood, A. M. (1940). “The Distribution Theory of Runs.” Annals of Mathematical Statistics 11, pp. 367–392.
  • Nelson, L. S. (1974). “Using Tables of the Cumulative Binomial Distribution.” Journal of Quality Technology 6, pp. 116–118.
  • Nelson, L. S. (1979). “Olmstead's Run Test.” Journal of Quality Technology 11, pp. 100–101.
  • Nelson, L. S. (1981). “Confidence Belts for Small Percentages.” Journal of Quality Technology 13, pp. 215–217.
  • Nelson, P. R. (1985). “Computation of Some Common Discrete Distributions.” Journal of Quality Technology 17, pp. 160–166.
  • Olkin, I. and Sobel, M. (1965). “Integral Expressions for Tail Probabilities of the Multinomial and Negative Multinomial Distributions.” Biometrika 52, pp. 167–179.
  • Owen, D. B. (1962). Handbook of Statistical Tables. Addison-Wesley, Reading, MA.
  • Pearson, E. S. and Hartley, H. O. (1958). Biometrika Tables for Statisticians. Cambridge University Press, Cambridge, United Kingdom.
  • Raouf, A. and Sathe, P. T. (1975). “A Runs Test for Sample Non-randomness.” Journal of Quality Technology 7, pp. 196–199.
  • Salvia, A. A. and Wahrenberger, A. (1980). “Binomial Estimation in Small Samples.” Journal of Quality Technology 12, pp. 150–152.
  • Scheaffer, R. L. and Leavenworth, R. S. (1976). “The Negative Binomial Model for Counts in Units of Varying Size.” Journal of Quality Technology 8, pp. 158–163.
  • Shapiro, S. S. and Gross, A. J. (1981). Statistical Modeling Techniques Marcel Dekker, New York, NY.
  • Shenton, L. R. and Myers, R. (1963). “Comments on Estimation for the Negative Binomial Distribution.” Proceedings of the International Symposium on Discrete Distributions, Montreal, pp. 241–262.
  • Tomsky, J. L.; Nakano, K.; and Iwashika, M. (1979). “Confidence Limits for the Number of Defectives in a Lot.” Journal of Quality Technology 11, pp. 199–204.
  • Williamson, E. and Bretherton, M. H. (1963). Tables of the Negative Binomial Probability Distribution. John Wiley & Sons, New York, NY.
  • Zahedi, H. and Shapiro, S. S. (1989). “A Discrete Model for the Segmentation of Chains and Strings.” Communications In Statistics Theory and Methods 18, pp. 199–218.
  • Zaslavsky, A. (1988). “Estimating Nonconformity Rates in c-defect Sampling.” Journal of Quality Technology 20, pp. 248–259.

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