ScienceAsia 7 (1981): 071-082 |doi: 10.2306/scienceasia1513-1874.1981.07.071

A STOCHASTIC MODEL FOR MAXIMUM DEPTHS OF DAILY RAINFALL

HUYNH NGOC PHIEN^a and PRATHET SUTABUTR^b

ABSTRACT: A mathematical model is proposed for the analysis of maximum depths of daily rainfall in the northeastern part of Thailand, using a Poisson distribution for annual exceedances and a shifted exponential distribution for the magnitudes of hazard events. These assumptions are justified by suitable statistical tests. An important relationship between the return periods of the annual maxima series and the partial-duration series is established, allowing investigators to relate the analysis based upon one series to that based upon the other. With this model, the Gumbel distribution is shown to be the distribution of annual largest exceedances when the average number of annual exceedances is equal to 1.

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a Asian Institute of Technology, Bangkok, Thailand
b Niational Energy Administration of Thailand, Bangkok, Thailand

Received 13 March 1981