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Journal of Quality Technology
A Quarterly Journal of Methods, Applications and Related Topics
Volume 30, 1998 - Issue 4
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Articles

The Burr XII Distribution in Reliability Analysis

William J. ZimmerUniversity of New Mexico at Albuquerque, Albuquerque, NM87131-1141View further author information
,
J. Bert KeatsArizona State University, Tempe, AZ85287-5906View further author information
&
F. K. WangChang Gung University, Tao-Yuan, Taiwan333View further author information
Pages 386-394 | Published online: 20 Feb 2018

References

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  • Burr, I. W. (1967). “A Useful Approximation to the Normal Distribution Function, with Applications to Simulation”. Technometrics 9, pp. 647–651.
  • Cook, R. D. and Johnson, M. E. (1986). “Generalized Burr-Pareto-Logistic Distribution with Applications to a Uranium Exploration Data Set”. Technometrics 28 pp. 123–131.
  • Cox, D. R. and Oakes, D. (1984). Analysis of Survival Data. Chapman and Hall, London, UK.
  • Hatke, M. A. (1949). “A Certain Cumulative Probability Function”. Annals of Mathematical Statistics 20, pp. 461–463.
  • Herd, G. R. (1960). “Estimation of the Reliability From Incomplete Data”. Proceedings of the 6th National Symposium on Reliability and Quality Control. IEEE, New York, pp. 202–217.
  • Hossain, A. M. and Nath, S. K. (1997). “Estimation of Parameters in the Presence of Outliers for a Burr XII Distribution”. Communications in Statistics, Part A, Theory and Methods 26, pp 637–652.
  • Johnson, L. G. (1964). The Statistical Treatment of Fatigue Experiments. Elsevier, New York, NY.
  • Nelson, W. (1982). Applied Life Data Analysis. John Wiley & Sons, New York, NY.
  • Rodriguez, R. N. (1977). “A Guide to the Burr Type XII Distributions”. Biometrika 64, pp. 129–134.
  • Singh, S. K. and Moddola, G. S. (1976). “A Function for Size Distribution of Incomes”. Econometrica 44, pp. 963–969.
  • Wang, F. K.; Keats, J. B.; and Zimmer, W. J. (1996). “The Maximum Likelihood Estimation of the Burr XII Parameters with Censored and Uncensored Data”. Microelectronics and Reliability 36, pp. 359–362.
  • Wingo, D. R. (1983). “Maximum Likelihood Methods for Fitting the Burr Type XII Distribution to Life Test Data”. Biometrical Journal 25, pp. 77–81.
  • Wingo, D. R. (1993). “Maximum Likelihood Estimation of Burr Type XII Distribution Parameters Under Type II Censoring”. Microelectronics and Reliability 33, pp. 1251–1257.
  • Yourstone, S. and Zimmer, W. J. (1992). “Non-normality and the Design of Control Charts for Averages”. Decision Sciences 23, pp. 1099–1113.
  • Zimmer, W. J. and Burr, I. W. (1963). “Variables Sampling Plans Based on Non-Normal Populations”. Industrial Quality Control 3, pp. 18–26.

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