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A Review of the Weibull Distribution and Selected Engineering Applications
Technical Paper
1999-01-2859
ISSN: 0148-7191, e-ISSN: 2688-3627
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English
Abstract
The Weibull distribution is a widely used statistical model for studying fatigue and endurance life in engineering devices and materials. Many examples can be found among the aerospace, electronics, materials, and automotive industries. Recent advances in Weibull theory have also created numerous specialized Weibull applications. Modern computing technology has made many of these techniques accessible across the engineering spectrum. The purpose of this paper is to give a brief expository review of the Weibull distribution with a discussion and illustration of some of the more popular Weibull techniques. A short list of resources taken from the literature of Weibull analysis is also included.
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Authors
Citation
Luko, S., "A Review of the Weibull Distribution and Selected Engineering Applications," SAE Technical Paper 1999-01-2859, 1999, https://doi.org/10.4271/1999-01-2859.Also In
References
- Weibull, Waloddi A Statistical Distribution Function of Wide Applicability Journal of Applied Mechanics 18 293 297 1951
- Fisher, R. A. Tippett, L.H.C. Limiting Forms of the Frequency Distribution of the Largest or Smallest Member of a Sample Proceedings of the Cambridge Philosophical Society 24 180 1928
- Gumbel, E. J. Statistics of Extremes Columbia University Press N. Y., N. Y. 1958
- Johnson, Leonard The Use of the “Entropy” Concept in Reliability Statistical Bulletin of the Detroit Research Institute 1 May 1971
- Juran, J. M. Gryna, Frank M. Juran's Quality Control Handbook 4th McGraw Hill Company 1988
- Kapur, K. C. Lamberson, L. R. Reliability in Engineering Design John Wiley & Sons 1977
- Benard, A. Bos-Levenbach, E.D. Statistica 7 1953
- Abernethy, R. B. The New Weibull Handbook 3rd 1996 SAE
- Fulton, Wes WinSmith-Weibull Fulton Findings
- Johnson, L. G. The Statistical Treatment of Fatigue Experiments Elsevier Publishing Co. 1964
- Nelson, Wayne Applied Life Data Analysis John Wiley and Sons 1982
- Lawless, Jerald Statistical Models and Methods for Lifetime Data John Wiley & Sons 1982
- Jackson, Lois, L. A Simple Way to Predict Product Reliability Machine Design August 1979
- Johnson, L. G. Theory and Technique of Variation Research Elsevier Publishing Co. 1964
- Kaplan, E. L. Meier, P. Nonparametric Estimation- From Incomplete Observations Journal of the American Statistical Association 53 457 481 1958
- Nelson, Wayne Theory and Applications of Hazard Plotting for Censored Failure Data Technometrics 14 4 1972
- Nelson, Wayne How to Analyze Reliability Data ASQ Basic References in Quality Control: Statistical Techniques 6 1983
- Harter, H. Leon Moore, Albert, H. Point and Interval Estimator, Based on m Order Statistics, for the Scale Parameter of a Weibull Population with Known Shape Parameter Technometrics 7 3 405 422 1965
- Nelson, Wayne Weibull Analysis of Reliability Data with Few or No Failures Journal of Quality Technology 17 3 1985
- Luko, Stephen, N. Weibull Analysis With Assumed Weibull Slope Where No Failures Are Observed SAE Technical Papers Series, No. 982032 1998
- Lipson, Charles Sheth, Narendra Engineering Experiments McGraw-Hill Company NY, New York 1973
- Luko, Stephen, N. Attribute Reliability and The Success Run: A Review SAE Technical Paper Series, No. 972753 1997
- Hogg, R. V. Tanis, E. A. Probability and Statistical Inference 4th Macmillan Publishing Company NY, New York 1993
- Abernethy, Robert, B. Medlin, C. H. Breneman, J. E. Reinman, G. L. Weibull Analysis Handbook US Air Force Publication Nov. 1983
- Abernethy, Robert, B. Fulton, Wes New Methods For Weibull and Log-Normal Analysis ASME Winter Annual Conference 1992 paper 92-WA/DE-14
- Cohen, Clifford A. Maximum Likelihood Estimation in the Weibull Distribution Based On Complete and On Censored Samples Technometrics 7 4 Nov. 1995
- Dodson, Bryan Weibull Analysis ASQ Quality Press Milwaukee, Wi. 1994
- Ireson, W. Grant Coombs, Clyde F. Handbook of Reliability Engineering and Management McGraw Hill 1988
- Kececioglu, Dimitri Reliability & Life Testing Handbook 2 Prentice Hall Englewood Cliffs, N. J. 1994
- Lin, Tony Vannoy, Harold An Assessment of the Estimation of Weibull Shape Parameter by Sudden Death Test SAE Technical paper 890809 , International Congress and Exposition March 1989
- Mann, Nancy R. Fertig, K. W. Life-Test Sampling Plans for Two-Parameter Weibull Populations Technometrics 22 2 May 1980
- McCool, John, I. Unbiased Maximum Likelihood Estimation of a Weibull Percentile when the Shape Parameter is Known IEEE Transactions on Reliability May 1969
- McCool, John, I. Inference on Weibull Percentiles and Shape Parameter from Maximum Likelihood Estimates IEEE Transactions on Reliability Feb. 1970
- McCool, John, I. Inference on the Weibull Location Parameter Journal of Quality Technology 30 2 April 1998
- McCool, John, I. Joyner-Motley, Tracy Control Charts Applicable When the Fraction Nonconforming is Small Journal of Quality Technology 30 3 Jul. 1998
- Rubinstein, Y. Reuven Simulation and the Monte Carlo Method Wiley Series in Probability and Mathematical Statistics John Wiley & Sons 1981
- Sica C. Luko S. Correction Factors For Use With The Method of “Sudden Death” Weibull Analysis SAE Technical Paper 982031 , Off Highway Conference Sept. 1998
- Abernethy, Robert, B. Fulton, Wes Weibull News www.weibull-news.com
- Reliability Review Reliability Division, American Society for Quality (ASQ) Milwaukee, Wi.