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A curtailed test for the shape parameter of the Weibull distribution. (English) Zbl 0492.62022


MSC:

62F03 Parametric hypothesis testing
62E15 Exact distribution theory in statistics
62G10 Nonparametric hypothesis testing
62Q05 Statistical tables
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References:

[1] Engelhardt, M.E., andL.J. Bain: Some complete sampling results for the Weibull or extreme value distribution. Technometries15, 1973, 541–549. · Zbl 0262.62015 · doi:10.2307/1266859
[2] Gumbel, E.J., andL.H. Herback: The exact distribution of the extremal quotient. Ann. Math. Statist.22, 1951, 418–426. · Zbl 0043.13203 · doi:10.1214/aoms/1177729588
[3] Gumbel, E.J., andR.D. Keeney The extremal quotient. Ann. Math. Statist.21, 1950, 523–538. · Zbl 0040.07404 · doi:10.1214/aoms/1177729749
[4] Izenman, A.J.: On the extremal quotient from a gamma sample. Biometrika63, 1976, 185–190. · Zbl 0337.62012
[5] Klimko, L.A.: et al., Upper bounds for the power of variant tests for the exponential distribution with Weibull alternatives. Technometrics17, 1975, 357–360. · Zbl 0307.62015 · doi:10.2307/1268074
[6] Lieblein, J., andM. Zelen: Statistical investigation of the fatigue life of groove ball bearnings. Journal of Research, National Bureau of Standards57, 1956., 273–316.
[7] Mann, N.R., R.E. Schafer andN.D. Singpurwalla: Methods for statistical analysis of reliability and life dara. New York 1974.
[8] Weibull, W.: A statistical distribution function of wide applicability. J. App. Mech.18, 1951, 293–297. · Zbl 0042.37903
[9] Wong, P.G., andS.P. Wong: An extremal quotient test for exponential distribution. Metrika26, 1979, 1–4. · Zbl 0397.62029 · doi:10.1007/BF01893465
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