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Volumn 25, Issue 7, 2011, Pages 897-911

Beta-κ distribution and its application to hydrologic events

Author keywords

L moments; Maximum likelihood estimation; Method of moments estimation; Simulation; The beta distribution

Indexed keywords

ESTIMATION METHODS; EXTREME EVENTS; EXTREME VALUE DISTRIBUTIONS; GENERALIZED BETA DISTRIBUTION; GUMBEL DISTRIBUTION; HYDROLOGIC EVENTS; L-MOMENTS; MAXIMUM LIKELIHOOD ESTIMATION METHOD; METHOD OF L-MOMENTS; METHOD OF MOMENTS ESTIMATION; SIMULATION; SIMULATION STUDIES;

EID: 80051787577     PISSN: 14363240     EISSN: 14363259     Source Type: Journal    
DOI: 10.1007/s00477-011-0494-4     Document Type: Article
Times cited : (15)

References (34)
  • 5
  • 6
    • 77955056764 scopus 로고    scopus 로고
    • Mixed estimation methods for Halphen distributions with applications in extreme hydrologic events
    • Chebana F, El Adlouni S, Bobee B (2010) Mixed estimation methods for Halphen distributions with applications in extreme hydrologic events. Stoch Env Res Risk Assess 24: 359-376.
    • (2010) Stoch Env Res Risk Assess , vol.24 , pp. 359-376
    • Chebana, F.1    El Adlouni, S.2    Bobee, B.3
  • 8
    • 0001771552 scopus 로고    scopus 로고
    • Likelihood-based inference for extreme value models
    • Coles S, Dixon M (1999) Likelihood-based inference for extreme value models. Extremes 2: 5-23.
    • (1999) Extremes , vol.2 , pp. 5-23
    • Coles, S.1    Dixon, M.2
  • 9
    • 43949085664 scopus 로고    scopus 로고
    • On the tails of extreme event distributions in hydrology
    • El Adlouni S, Bobee B, Ouarda TBMJ (2008) On the tails of extreme event distributions in hydrology. J Hydrol 355: 1633.
    • (2008) J Hydrol , vol.355 , pp. 1633
    • El Adlouni, S.1    Bobee, B.2    Ouarda, T.B.M.J.3
  • 10
    • 0018713386 scopus 로고
    • Probability weighted moments: definition and relation to parameters of distribution expressible in inverse form
    • Greenwood JA, Landwehr NC, Matalas, Wallis JR (1979) Probability weighted moments: definition and relation to parameters of distribution expressible in inverse form. Water Resour Res 15: 1049-1054.
    • (1979) Water Resour Res , vol.15 , pp. 1049-1054
    • Greenwood, J.A.1    Landwehr, N.C.2    Matalas, W.J.3
  • 11
    • 0000310360 scopus 로고
    • L-moments: analysis and estimation of distributions using linear combinations of order statistics
    • Hosking JRM (1990) L-moments: analysis and estimation of distributions using linear combinations of order statistics. J R Stat Soc B 52: 105-124.
    • (1990) J R Stat Soc B , vol.52 , pp. 105-124
    • Hosking, J.R.M.1
  • 13
    • 0029413295 scopus 로고
    • A comparison of unbiased and plotting-position estimators of L-moments
    • Hosking JRM, Wallis JR (1995) A comparison of unbiased and plotting-position estimators of L-moments. Water Resour Res 31: 2019-2025.
    • (1995) Water Resour Res , vol.31 , pp. 2019-2025
    • Hosking, J.R.M.1    Wallis, J.R.2
  • 15
    • 0022113451 scopus 로고
    • Estimation of the generalized extreme value distribution by the method of probability-weighted moments
    • Hosking JRM, Wallis JR, Wood EF (1985) Estimation of the generalized extreme value distribution by the method of probability-weighted moments. Technometrics 27: 251-261.
    • (1985) Technometrics , vol.27 , pp. 251-261
    • Hosking, J.R.M.1    Wallis, J.R.2    Wood, E.F.3
  • 16
    • 0018048834 scopus 로고
    • Birth of parent: the Wakeby distribution for modeling flood flows
    • Houghton JC (1978) Birth of parent: the Wakeby distribution for modeling flood flows. Water Resour Res 14(6): 1111-1115.
    • (1978) Water Resour Res , vol.14 , Issue.6 , pp. 1111-1115
    • Houghton, J.C.1
  • 17
    • 0018943622 scopus 로고
    • Quantile estimation with more or less floodlike distribution
    • Landwehr JM, Matalas NC (1980) Quantile estimation with more or less floodlike distribution. Water Resour Res 16(3): 547-555.
    • (1980) Water Resour Res , vol.16 , Issue.3 , pp. 547-555
    • Landwehr, J.M.1    Matalas, N.C.2
  • 18
    • 0034019933 scopus 로고    scopus 로고
    • Generalized maximum likelihood generalized extreme-value quantile estimators for hydrologic data
    • Martin ES, Stedinger JR (2000) Generalized maximum likelihood generalized extreme-value quantile estimators for hydrologic data. Water Resour Res 36: 737-744.
    • (2000) Water Resour Res , vol.36 , pp. 737-744
    • Martin, E.S.1    Stedinger, J.R.2
  • 19
    • 0032978660 scopus 로고    scopus 로고
    • Changes in extreme rainfall events in South Africa
    • Mason SJ, Waylen PR, Mimmack GM et al (1999) Changes in extreme rainfall events in South Africa. Clim Chang 41: 249-257.
    • (1999) Clim Chang , vol.41 , pp. 249-257
    • Mason, S.J.1    Waylen, P.R.2    Mimmack, G.M.3
  • 20
    • 56449109111 scopus 로고    scopus 로고
    • Comprehensive evaluation of regional flood frequency analysis by L- and LH-moments. I. A re-visit to regional homogeneity
    • Meshgi A, Kahlili D (2009) Comprehensive evaluation of regional flood frequency analysis by L- and LH-moments. I. A re-visit to regional homogeneity. Stoch Env Res Risk Assess 23: 119-135.
    • (2009) Stoch Env Res Risk Assess , vol.23 , pp. 119-135
    • Meshgi, A.1    Kahlili, D.2
  • 21
    • 0000064940 scopus 로고
    • Another family of distributions for describing and analyzing precipitation data
    • Mielke PW (1973) Another family of distributions for describing and analyzing precipitation data. J Appl Meteorol 12: 275-280.
    • (1973) J Appl Meteorol , vol.12 , pp. 275-280
    • Mielke, P.W.1
  • 22
    • 0005533913 scopus 로고
    • Three parameter Kappa distribution maximum likelihood estimations and likelihood ratio tests
    • Mielke PW, Johnson ES (1973) Three parameter Kappa distribution maximum likelihood estimations and likelihood ratio tests. Mon Water Rev 101: 701-707.
    • (1973) Mon Water Rev , vol.101 , pp. 701-707
    • Mielke, P.W.1    Johnson, E.S.2
  • 23
    • 0016048816 scopus 로고
    • Some generalized beta distributions of the second kind having desirable application features in hydrology and meteorology
    • Mielke PW, Johnson ES (1974) Some generalized beta distributions of the second kind having desirable application features in hydrology and meteorology. Water Resour Res 10: 223-226.
    • (1974) Water Resour Res , vol.10 , pp. 223-226
    • Mielke, P.W.1    Johnson, E.S.2
  • 24
    • 38349156981 scopus 로고    scopus 로고
    • Wakeby distribution for representing annual extreme and partial duration rainfall series
    • Oztekin T (2007) Wakeby distribution for representing annual extreme and partial duration rainfall series. Meteorol Appl 14: 381-387.
    • (2007) Meteorol Appl , vol.14 , pp. 381-387
    • Oztekin, T.1
  • 25
    • 27844489144 scopus 로고    scopus 로고
    • A simulation-based hyperparameter selection for quantile estimation of the generalized extreme value distribution
    • Park JS (2005) A simulation-based hyperparameter selection for quantile estimation of the generalized extreme value distribution. Math Comput Simul 70: 227-234.
    • (2005) Math Comput Simul , vol.70 , pp. 227-234
    • Park, J.S.1
  • 26
    • 0035442650 scopus 로고    scopus 로고
    • Modelling summer extreme rainfall over the Korean peninsula using Wakeby distribution
    • Park JS, Jung HS, Kim RS, Oh JH (2001) Modelling summer extreme rainfall over the Korean peninsula using Wakeby distribution. Int J Climatol 21: 1371-1384.
    • (2001) Int J Climatol , vol.21 , pp. 1371-1384
    • Park, J.S.1    Jung, H.S.2    Kim, R.S.3    Oh, J.H.4
  • 27
    • 67349206602 scopus 로고    scopus 로고
    • A kappa distribution with a hydrological application
    • Park JS, Seo SC, Kim TY (2009) A kappa distribution with a hydrological application. Stoch Env Res Risk Assess 23: 579-586.
    • (2009) Stoch Env Res Risk Assess , vol.23 , pp. 579-586
    • Park, J.S.1    Seo, S.C.2    Kim, T.Y.3
  • 29
    • 70249109767 scopus 로고    scopus 로고
    • Assessing the applicability of fractional order statistics for computing confidence intervals for extreme quantiles
    • Serinaldi F (2009) Assessing the applicability of fractional order statistics for computing confidence intervals for extreme quantiles. J Hydrol 376(3-4): 528-541.
    • (2009) J Hydrol , vol.376 , Issue.3-4 , pp. 528-541
    • Serinaldi, F.1
  • 30
    • 84864171519 scopus 로고    scopus 로고
    • Stream flow data of Colorado from U. S. Geological Survey (USGS). Accessed June 2010
    • Stream flow data of Colorado from U. S. Geological Survey (USGS). http://nwis. waterdata. usgs. gov/co/nwis/peak?site_no=08230500& agency_cd=USGS& format=html. Accessed June 2010.
  • 31
    • 0030666363 scopus 로고    scopus 로고
    • LH moments of statistical analysis of extreme events
    • Wang QJ (1997) LH moments of statistical analysis of extreme events. Water Resour Res 33: 2841-2848.
    • (1997) Water Resour Res , vol.33 , pp. 2841-2848
    • Wang, Q.J.1
  • 32
    • 0027835690 scopus 로고
    • Comparison of three-parameter probability distributions for representing annual extreme and partial duration precipitation series
    • Wilks DS (1993) Comparison of three-parameter probability distributions for representing annual extreme and partial duration precipitation series. Water Resour Res 29: 3543-3549.
    • (1993) Water Resour Res , vol.29 , pp. 3543-3549
    • Wilks, D.S.1
  • 33
    • 0030499150 scopus 로고    scopus 로고
    • Extreme-value statistics for snowpack water equivalent in northeastern United States using the cooperative observar network
    • Wilks DS, Mckay M (1996) Extreme-value statistics for snowpack water equivalent in northeastern United States using the cooperative observar network. J Appl Meteorol 35: 706-713.
    • (1996) J Appl Meteorol , vol.35 , pp. 706-713
    • Wilks, D.S.1    Mckay, M.2


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