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Original Articles

Detection of a pair of outliers in a sample from a Gumbel distribution with known scale parameter

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Pages 243-254 | Received 15 Oct 2015, Accepted 12 Dec 2016, Published online: 29 Dec 2016

References

  • M.I. Ahmad, C.D. Sinclair and B.D. Spurr, Assessment of flood frequency models using empirical distribution function statistics, Water Resour. Res. 24 (1988), pp. 1323–1328. doi: 10.1029/WR024i008p01323
  • N. Balakrishnan and P.S. Chan, Order statistics from extreme value distribution II: Best linear unbiased estimates and some other uses, Comm. Statist. Simulation Comput. 21 (1992), pp. 1219–1246. doi: 10.1080/03610919208813074
  • N. Balakrishnan and P.S. Chan, Extended tables of best linear unbiased estimates from complete and Type II censored samples from the extreme value distribution for sample size up to 30, Report, Department of Mathematics and Statistics, McMaster University, Hamilton, Canada, 1992.
  • N. Balakrishnan and A.C. Cohen, Order Statistics and Inference: Estimation Methods, Academic Press, San Diego, CA, 1991.
  • V. Barnett and T. Lewis, Outliers in Statistical Data, 3rd ed., Wiley, Chichester, 1994.
  • R. Beckman and R. Cook, Outliers, Technometrics 25 (1983), pp. 119–149.
  • M.S. Chikkagoudar and S.H. Kunchur, Comparison of many outlier procedures for exponential samples, Comm. Statist. Theory Methods 16 (1987), pp. 627–645. doi: 10.1080/03610928708829392
  • W.E. Fuller, Flood flows, Trans. Amer. Soc. Civil Eng. 77 (1914), pp. 564–617.
  • F.E. Grubbs, Procedures for detecting outlying observations in samples, Technometrics 11, 1 (1969), pp. 1–21. doi: 10.1080/00401706.1969.10490657
  • E.J. Gumbel, Les intervalles extremes entre les émissions radioactives, Journal de Physique et de Radium 8 (1937), pp. 446–452. doi: 10.1051/jphysrad:01937008011044600
  • E.J. Gumbel, La Durée Extreme de la vie Humaine, Actualitis Scientifiques et Industrielles, Hermann et Cie, Paris, 1937.
  • E.J. Gumbel, The return period of flood flows, Ann. Math. Statist. 12 (1941), pp. 163–190. doi: 10.1214/aoms/1177731747
  • E.J. Gumbel, On the plotting of flood discharges, Trans. Am. Geophys. Union 25 (1944), pp. 699–719. doi: 10.1029/TR025i005p00699
  • E.J. Gumbel, Floods estimated by probability methods, Eng. News Record 134 (1945), pp. 97–101.
  • E.J. Gumbel, The Statistical Forecast of Floods, Bulletin No. 15, Ohio Water Resources Board, Columbus, 1949, pp. 1–21.
  • D. Hawkins, Identification of Outliers, Chapman and Hall, London, 1980.
  • D. Jain and V.P. Singh, Estimating parameters of EV1 distribution for flood frequency analysis, Water Resour. Res. 23 (1987), pp. 59–71.
  • A.F. Jenkinson, The frequency distribution of the annual maximum (or minimum) values of meteorological elements, Q. J. R. Meteorol. Soc. 81 (1955), pp. 158–171. doi: 10.1002/qj.49708134804
  • N.L. Johnson, S. Kotz, and N. Balakrishnan, Continuous Univariate Distributions 2, 2nd ed., Wiley, Chichester, 1994.
  • A.C. Kimber, Tests for many outliers in an exponential sample, Appl. Statist. 31 (1982), pp. 263–271. doi: 10.2307/2348000
  • E. Nissan, Extreme value distribution in estimation of insurance premiums, ASA Proc. Bus. Econ. Stat. Sect. (1988), pp. 562–566.
  • F.F. Rosado, Outliers in exponential populations, Metron 45 (1987), pp. 85–91.
  • F. Rossi, M. Fiorentino, and P. Versace, Two-component extreme value distribution for flood frequency analysis, Water Resour. Res. 22 (1986), pp. 847–856. doi: 10.1029/WR022i002p00267
  • J.A. Smith, Estimating the upper tail of flood frequency distributions, Water Resour. Res. 23 (1987), pp. 1657–1666. doi: 10.1029/WR023i008p01657

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