Analysis of extreme rainfall using the log logistic distribution

Stochastic Environmental Research and Risk Assessment

Volumn 19, Issue 4, 2005, Pages 249-257

  Fitzgerald, Denis L ^a  

^a Irish Meteorological Service   (Ireland)

Author keywords

Bootstrap; Ellipsoid of concentration; Geometric max stable distributions; L moment estimate; Log logistic distribution; Maximum product of spacings method

Indexed keywords

BOOTSTRAPPING; EXTREME EVENT; PRECIPITATION ASSESSMENT; RAINFALL; STATISTICAL ANALYSIS;

EID: 29544432060     PISSN: 14363240     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00477-004-0229-x     Document Type: Article

References (17)

1. Ahmad MH, Sinclair CD, Werrity A (1988) Log-logistic flood frequency analysis. J Hydrol 98:205-224
2. Bickel DR (2002) Robust estimators of the mode and skewness of continuous data. Comput Stat Data Anal 39:153-163
3. Cheng RCH, Amin NAK (1983) Estimating parameters in continuous univariate distributions with shifted origin. J R Stat Soc B 45(3):394-403
4. H Cramér 1946 Mathematical methods of statistics Princeton University Press Princeton
5. HA David 1981 Order statistics Wiley New York
6. Fitzgerald DL (1996) Maximum product of spacings estimators for the generalised Pareto and log-logistic distributions, Stochastic hydrology and hydraulics, vol 10. Springer, Berlin Heidelberg New York, pp 1-15
7. Flood Estimation Handbook (1999) Institute of hydrology, vols 1 and 2. Wallingford, UK
8. Flood Studies Report (1975) Meteorological studies, vol 2. NERC, London
9. HMSO 1981 Handbook of meteorological instruments Her Majesty's Stationery Office London
10. Hosking JRM, Wallis J R (1997) Regional frequency analysis (An approach based on L-moments), CUP
11. Jenkinson AF (1977) The analysis of meteorological and other geophysical extremes, MET O 13 Technical Note No 58, British Meteorological Office
12. NL Johnson S Kotz 1970 Continuous univariate distributions-1 Wiley New York
13. JJ Logue 1975 Extreme rainfalls in Ireland Met Éireann Dublin
14. Mitnik S, Rachev ST (1993) Modelling asset returns with alternative stable distributions. Econometric Rev 12(3):230-261
15. PK Rohan 1986 The climate of Ireland Met Éireann Dublin
16. Rowsiński PM, Strupczewski WG, Singh VP (2002) A note on the applicability of log-Gumbel and log-logistic probability distributions in hydrological analyses: I known pdf. Hydrol Sci J 47(1):107-122
17. Voorn WJ (1987) Characterization of the logistic and log-logistic distributions by extreme value related stability with random sample size. J Appl Prob 24:838-851