Parameter Estimation For The Weibull Distribution

IEEE Transactions on Electrical Insulation

Volumn EI-12, Issue 4, 1977, Pages 253-261

  Stone, G C ^a   van Heeswijk, R G ^b  

^a ONTARIO HYDRO TECHNOLOGIES   (Canada)

^b UNIVERSITY OF WATERLOO   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

PROBABILITY;

WEIBULL DISTRIBUTION;

ELECTRIC INSULATING MATERIALS;

EID: 0017524109     PISSN: 00189367     EISSN: None     Source Type: Journal    
DOI: 10.1109/TEI.1977.297976     Document Type: Article

References (27)

1. G. Bander, G. S. Eager, D. A. Silver, R. G. Lukac, “Criteria for Determining Performance in Service of Crosslinked Polyethylene Insulated Power Cables,” IEEE Trans Power App Syst, Vol PAS-95, Sept/Oct 1976, pp 1552-1566.
2. P. Metra, E. Occhini, G. Portinari, “High Voltage Cables with Extruded Insulation. Statistical Controls and Reliability Evaluation,” IEEE PES Summer Meeting, T 74 315-8, July 1974.
3. F. H. Kreueer, P.A.C. Bentvelsen, “Breakdown Phenomena in Polyethylene Insulated Cable,” CIGRE Paper 21-05, 1972.
4. F. H. Kreuger, “Endurance Tests with Polyethylene Insulated Cables,” CIGRE Paper 21-02, 1968.
5. W. Weibull, “A Statistical Distribution Function of Wide Applicability,” Journal of Applied Mechanics, Vol 18, Sept 1951, pp 293-297.
6. B. Epstein, H. Brooks, “The Theory of Extreme Values and Its Applications in the Study of the Dielectric Strength of Paper Capacitors,” Journal of Applied Physics, Vol 19, June 1948, pp 544-550.
7. R. Kaneko, K. Sugiyama, “Statistical Considerations on Impulse Breakdown Characteristics of Cross-linked Polyethylene Insulated Cables,” IEEE Trans Power App Syst, Vol PAS-94, March/April 1975, pp 367-377.
8. A. C. Gorski, “Beware of the Weibull Euphoria,” Letter to the Editor, IEEE Trans Reliability, Vol R-17, Dec 1968.
9. A. C. Cohen, “Maximum Likelihood Estimation in the Weibull Distribution Based on Complete and on Censored Samples,” Technometrics, Vol 7, Nov 1965, pp 579-588.
10. N. R. Mann, R. E. Schafer, N. D. Singpurwalla, “Methods for Statistical Analysis of Reliability and Life Data,” (book). New York, Wiley-Interscience, 1974, pp 191-208.
11. E. Pieruschka, “Principles of Reliability,” (book). Englewood Cliffs, N.J., Prentice -Hall, 1963, p 294.
12. E. Pieruschka, ibid, p 287.
13. N. R. Mann, R. E. Schafer, N. D. Singpurwalla, op. cit., pp 214-217.
14. N. R. Mann, R. E. Schafer, N. D. Singpurwalla, op. cit., p 81.
15. N. R. Mann, R. E. Schafer, N. D. Singpurwalla, op. cit., pp 189-191.
16. N. R. Mann, R. E. Schafer, N. D. Singpurwalla, op. cit., p 209.
17. W. Q. Meeker, W. Nelson, “Weibull Percentile Estimates and Confidence Limits from Singly Censored Data by Maximum Likelihood,” IEEE Trans Reliability, Vol R-25, Apr 1976, pp 20-24.
18. W. J. McNutt, M. R. Patel, “The Combined Effects of Thermal Aging and Short-Circuit Stresses on Transformer Life,” IEEE PES Winter Meeting, F76 010-9, Jan 1976.
19. M. R. Wertheimer, L. Paquin, H. P. Schreiber, S. A. Boggs, “Dielectric Permittivity and Breakdown Characteristics of Polymer - Mica Composites,” IEEE Conference Record of IEEE Symposium on Electrical Insulation, June 1976, pp 166-169.
20. A. C. Cohen, “Multi-Censored Sampling in the Three-Parameter Weibull Distribution,” Technometrics, Vol 17, Aug 1975, pp 347-351.
21. D. R. Thomain, L. J. Bain, C. E. Antle, “Inferences on the Parameters of the Weibull Distribution,” Technometrics, Vol 11, Aug 1969, pp 445-460.
22. B. R. Billman, C. E. Antle, L. J. Bain, “Statistical Inference from Censored Weibull Samples,” Technometrics, Vol 14, Nov 1972, pp 831-840.
23. N. R. Mann, R. E. Schafer, N. D. Singpurwalla, op. cit., pp 222-233.
24. N. R. Mann, K. W. Fertig, E. W. Scheuer, “Confidence and Tolerance Bounds and a New Goodness-of-Fit Test for the Two Parameter Weibull or Extreme-Value Distributions with Tables for Censored Samples of Size 3(1)25,” Aerospace Research Laboritories Report ARL 71-0077, Wright-Patterson AFB, Ohio, 1971.
25. N. R. Mann, K. W. Fertig, “Simplified Efficient Point and Interval Estimators for Weibull Parameters,” Technometrics, Vol 17, Aug 1975, pp 361-368.
26. G. W. Cran, “Graphical Estimation Methods for Weibull Distributions,” Micro electronics and Reliability, May 1976, pp 47-52.
27. A. Bossi, F. Farneti, G. Portinari, “Criteria for the Qualification of Extruded-Insulation Cables,” CIGRE Paper 21-10, 1976.