Abstract
The purpose of this paper is to provide a method for constructing exact joint confidence regions for the parameters of type I (maximum) and type I (minimum) extreme value distributions. Joint confidence regions for the parameters of Weibull distributions are also discussed. The calculation for these joint confidence regions requires a small computer program.
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References
Bain, J. L. & Engelhardt, M. (1991) Statistical Analysis of Reliability and Life-testing Models. New York: Marcel Dekker
Dumonceaux, R. and Antle, C. E. (1973) Discrimination between the log-normal and the Weibull distributions. Technometrics 15: 923–926
Johnson, N. L. & Kotz, S. (1970) Distributions in Statistics: Continuous Univariate Distributions-1. John Wiley & Sons, Inc.
Lieblein, J. and Zelen, M. (1956) Statistical investigation of the fatigue life of deepgroove ball bearing. Journal of Research National Bureau of Standards 57: 273–316
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Chen, Z. Joint estimation for the parameters of the extreme value distributions. Statistical Papers 39, 135–146 (1998). https://doi.org/10.1007/BF02925402
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DOI: https://doi.org/10.1007/BF02925402