%0 Journal Article %T On Return Periodof the Largest Historical Flood %A Witold G. Strupczewski %A Krzysztof Kochanek %A Ewa Bogdanowicz %J Journal of Geoscience and Environment Protection %P 144-152 %@ 2327-4344 %D 2014 %I Scientific Research Publishing %R 10.4236/gep.2014.23019 %X

The use of nonsystematic flood data for statistical purposes depends on reliability of assessment both flood magnitudes and their return period. The earliest known extreme flood year is usually the beginning of the historical record. Even though the magnitudes of historic floods are properly assessed, a problem of their retun periods remains unsolved. Only largest flood (XM) is known during whole historical period and its occurrence carves the mark of the beginning of the historical period and defines its length (L). So, it is a common practice of using the earliest known flood year as the beginning of the record. It means that the L value selected is an empirical estimate of the lower bound on the effective historical length M. The estimation of the return period of XM based on its occurrence, i.e. , gives the severe upward bias. Problem is to estimate the time period (M) representative of the largest observed flood XM. From the discrete uniform distribution with support of the probability of the L position of XM one gets