Advances and Applications in Statistics
Volume 5, Issue 1, Pages 111 - 123
(April 2005)
|
|
DISTRIBUTION OF THE EXTREME ANNUAL PRECIPITATION OVER URBAN AREAS
George Tzavelas (Greece), Athanasios G. Paliatsos (Greece) and Nikolaos Prezerakos (Greece)
|
Abstract: The maximum daily precipitation amounts per year in Athens (1891-2002) and in Thessaloniki (1945-2002) are studied in order to investigate the probability distribution function of extreme precipitation amounts over urban areas of Athens and Thessaloniki, respectively. Fr飨et, Lognormal, Inverse Gaussian and Gamma parametric families of probability distributions have been considered as candidate models. The structures of the samples-independence and identical distribution-are examined. Goodness of these models fit to the above data, has been tested by the use of Pearson?s c2 test.
The main result of this statistical analysis is that among the four candidate models, three of them, namely the Fr飨et distribution, the Inverse Gaussian and the Lognormal fit satisfactory while the Gamma fits rather poorly. |
Keywords and phrases: Fr飨et distribution, Lognormal distribution, Inverse Gaussian distribution, Gamma distribution, maximum likelihood estimator, Newton-Rapshon method. |
|
Number of Downloads: 363 | Number of Views: 1378 |
|