Abstract
Tiago de Oliveira presented the first paper in a series on statistical choice of univariate extreme models. This paper is a second one in that series. We present formulae for the general mean values and variances and some computer results. We investigated for how small values of the sample size the proposed test statistics may be useful by computer simulations applying the chisquare and Stephens’goodness of fit tests for normality. Some concrete data are further analysed in more detail. We conclude the paper with a general discussion.
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References
Dahlquist, G., Björck, A. and Anderson, N.(19741. “Numerical Methods”, Prentice-Hall, Inc., Englewood Cliffs, New Jersey.
Fransén, A. (1975). “Estimation of Population Characteristics for the Gumbel Distribution” (in Swedish), FOA rapport C 10025-M4.
Fransén, A. (1976). “Calculation of the Probability Integral in Double Precision for DEC-10” (in Swedish), FOA rapport C 10047-M3(E5).
Fransén, A. and Wrigge, S. (1980). “High-Precision Values of the Gamma Function and of Some Related Coefficients”, Math. Comp., v. 34, pp. 553–566.
Fransén, A. (1981). Addendum and Corrigendum to “High-Precision Values of the Gamma Function and of Some Related Coefficients”, Math. Comp., v. 37, pp. 233–235.
Gumbel, E.J. and Goldstein, N. (1964). “Analysis of Empirical Bivariate Extremal Distributions”, Am. Stat. Assoc. Journal, September, pp. 794–816.
Knuth, D.E. (1969). “The Art of Computer Programming, Vol. 2: Seminumerical Algorithms”, Addison-Wesley, Reading, Massachusetts.
van Montfort, M.A.J. (1970). “On Testing that the Distribution of Extremes is of Type I when Type II is the Alternative”, Journ. of Hydrology 11, pp. 421–427.
Pearson, E.S. and Hartley, H.O. (ed.)(1972). “Biometrika Tables for Statisticians, Vol. 2”, Cambridge at the University Press.
Sneyers, R. (1977). “L’intensité maximale des précipitations en Belgique”, Institut Royal Météorologique de Belgique, Publications Série B, No 86, 15 pp.
). “Statistical Methods in Hydrology, Discussion on Extreme Value Analysis”, Proceedings of Hydrology Symposium No 5, Ottawa, Canada, pp. 171–181.
Tiago de Oliveira, J. (1981). “Statistical Choice of Univaria-te Extreme Models”, Statistical Distributions in Scientific Work, Vol$16, D. Reidel Publ. Co., pp. 367–387.
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© 1984 Springer Science+Business Media Dordrecht
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Fransén, A., de Oliveira, J.T. (1984). Statistical Choice of Univariate Extreme Models. Part II. In: de Oliveira, J.T. (eds) Statistical Extremes and Applications. NATO ASI Series, vol 131. Springer, Dordrecht. https://doi.org/10.1007/978-94-017-3069-3_27
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DOI: https://doi.org/10.1007/978-94-017-3069-3_27
Publisher Name: Springer, Dordrecht
Print ISBN: 978-90-481-8401-9
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