Parameter and quantile estimation of the 2-parameter kappa distribution by maximum likelihood

Stochastic Environmental Research and Risk Assessment

Volumn 26, Issue 8, 2012, Pages 1025-1039

  Aucoin, François ^a   Ashkar, Fahim ^a   Bayentin, Lampouguin ^a  

^a UNIVERSITÉ DE MONCTON   (Canada)

Author keywords

Confidence intervals; Fisher's information; Kappa distribution; Maximum likelihood; Quantiles

Indexed keywords

FISHER INFORMATION MATRIX; MAXIMUM LIKELIHOOD; MAXIMUM LIKELIHOOD ESTIMATION; MONTE CARLO METHODS; NORMAL DISTRIBUTION;

ASYMPTOTIC PROPERTIES; CONFIDENCE INTERVAL; COVERAGE PROBABILITIES; FISHER'S INFORMATION; KAPPA DISTRIBUTION; QUANTILE ESTIMATION; QUANTILE ESTIMATORS; QUANTILES;

PARAMETER ESTIMATION;

CONFIDENCE INTERVAL; ESTIMATION METHOD; FISHING COMMUNITY; MAXIMUM LIKELIHOOD ANALYSIS; MONTE CARLO ANALYSIS; PARAMETERIZATION;

EID: 84871501684     PISSN: 14363240     EISSN: 14363259     Source Type: Journal    
DOI: 10.1007/s00477-012-0561-5     Document Type: Article

References (14)

1. Anderson TW, Darling DA (1952) Asymptotic theory of certain "goodness-of-fit" criteria based on stochastic processes. Ann Math Stat 23: 193-212. doi: 10. 1214/aoms/1177729437.
2. Ashkar F, Bayentin J, Savoie N, El-Jabi N (2004) Frequency analysis of low stream-flow characteristics using statistical distributions. ASCE Conf Proc. doi: 10. 1061/40737(2004)293.
3. Choulakian V, Stephens MA (2001) Goodness-of-fit tests for the generalized Pareto distribution. Technometrics 43(3): 478-484.
4. D'Agostino RB, Stephens MA (1987) Goodness-of-fit techniques. Dekker, New York.
5. Davison AC, Hinkley DV (1997) Bootstrap methods and their application. Cambridge University Press, New York.
6. Efron B, Hinkley DV (1978) Assessing the accuracy of the maximum likelihood estimator: observed versus expected Fisher information. Biometrika 65(3): 457-487.
7. Hogg RV, Craig A, McKean JW (2004) Introduction to mathematical statistics. Prentice Hall, New York.
8. Lehmann EL (1999) Elements of large-sample theory. Springer, New York.
9. Mielke PW (1973) Another family of distributions for describing and analyzing precipitation data. J Appl Meteorol 12: 275-280.
10. Nelder JA, Mead R (1965) A simplex algorithm for function minimization. Comput J 7: 308-313.
11. Park JS, Seo SC, Kim TY (2009) A kappa distribution with a hydrological application. Stoch Environ Res Risk Assess 23: 579-586.
12. R Development Core Team (2010) R: a language and environment for statistical computing. R Foundation for Statistical Computing, Vienna.
13. Rice JA (2007) Mathematical statistics and data analysis. Duxbury Press, Belmont.
14. Small CG (2010) Expansions and asymptotics for statistics. CRC Press, New York.