Establishing acceptance regions for L-moments based goodness-of-fit tests for the Pearson type III distribution

Stochastic Environmental Research and Risk Assessment

Volumn 26, Issue 6, 2012, Pages 873-885

  Wu, Yii Chen ^a   Liou, Jun Jih ^a   Su, Yuan Fong ^a   Cheng, Ke Sheng ^a  

^a NATIONAL TAIWAN UNIVERSITY   (Taiwan)

Author keywords

Acceptance regions; Frequency analysis; Goodness of fit test; L moments; Pearson type III distribution; Stochastic simulation

Indexed keywords

ACCEPTANCE REGIONS; FREQUENCY ANALYSIS; GOODNESS-OF-FIT TEST; L-MOMENTS; PEARSON TYPE III DISTRIBUTION; STOCHASTIC SIMULATIONS;

HIGHER ORDER STATISTICS; STOCHASTIC MODELS;

ACCEPTANCE TESTS;

FREQUENCY ANALYSIS; MODEL VALIDATION; PARAMETERIZATION; POPULATION DISTRIBUTION; SKEWNESS; TESTING METHOD; UNCERTAINTY ANALYSIS;

EID: 84862697130     PISSN: 14363240     EISSN: 14363259     Source Type: Journal    
DOI: 10.1007/s00477-011-0519-z     Document Type: Article

References (20)

1. Abida H, Elouze M (2007) Probability distribution of flood flows in Tunisia. Hydrol Earth Syst Sci Discuss 4: 957-981.
2. Ben-Zvi A, Azmon B (1997) Joint use of L-moment diagram and goodness-of-fit test: a case study of diverse series. J Hydrol 198: 245-259.
3. D'Agostino RB, Stephens MA (1986) Goodness-of-fit techniques. Marcel Dekker, New York.
4. Haan CT (2002) Statistical methods in hydrology. Iowa State Press, Ames.
5. Haddad K, Rahman A, Green J (2011) Design rainfall estimation in Australia: a case study using L moments and Generalized Least Squares Regression. Stoch Environ Res Risk Assess 25: 815-825.
6. Hosking JRM (1990) L-moments: analysis and estimation of distributions using linear combinations of order statistics. J R Stat Soc B 52(1): 105-124.
7. Hosking JRM, Wallis JR (1993) Some statistics useful in regional frequency analysis. Water Resour Res 29(2): 271-281.
8. Hosking JRM, Wallis JR (1997) Regional frequency analysis: an approach based on L-moments. Cambridge University Press, Cambridge.
9. Kottegoda NT (1980) Stochastic water resources technology. Macmillan, London.
10. Liou JJ, Wu YC, Cheng KS (2008) Establishing acceptance regions for L-moments based goodness-of-fit tests by stochastic simulation. J Hydrol 355: 49-62.
11. McMahon TA, Srikanthan R (1981) Log Pearson III distribution-is it applicable to flood frequency analysis of Australian streams? J Hydrol 52: 139-148.
12. Meshgi A, Khalili D (2009) Comprehensive evaluation of regional flood frequency analysis by L-and LH-moments. I. A re-visit to regional homogeneity. Stoch Environ Res Risk Assess 23: 119-135.
13. Önöz B, Bayazit M (1995) Best-fit distributions of largest available flood samples. J Hydrol 167: 195-208.
14. Shin H, Jung Y, Jeong C, Heo JH (2011) Assessment of modified Anderson-Darling test statistics for the generalized extreme value and generalized logistic distributions. Stoch Environ Res Risk Assess. doi: 10. 1007/s00477-011-0463-y.
15. Stedinger JR, Lu LH (1995) Appraisal of regional and index flood quantile estimators. Stoch Environ Res Risk Assess 9(1): 49-75.
16. Taiwan Water Resources Agency (TW-WRA) (2000) Technical Code for Hydrological Design (in Chinese). Ministry of Economic Affairs, Taipei, Taiwan.
17. Tsukatani T, Shigemitsu K (1980) Simplified Pearson distributions applied to air pollutant concentration. Atmos Environ 14: 245-253.
18. Vogel RM, Fennesset NM (1993) L-moments diagrams should replace product moment diagrams. Water Resour Res 29(6): 1745-1752.
19. U. S. Water Resources Council (US-WRS) (1981) Guidelines for determining flood flow frequency, bulletin 17B. Office of Water Data Coordination, U. S. Geological Survey, Reston, Virginia.
20. Yang T, Xu CY, Shao QX, Chen X (2010) Regional flood frequency and spatial patterns analysis in the Pearl River Delta region using L-moments approach. Stoch Environ Res Risk Assess 24: 165-182.