Stochastic Model of Flow-Duration Curves for Rivers in British Columbia, Canada
Stochastic Model of Flow-Duration Curves for Rivers in British Columbia, Canada
Leboutillier, David Walter
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Berman (1962) has also shown that the assumption of an identical parent distribution may be relaxed and the limits will still hold. Asymptotic Theory of Central and Intermediate Order Statistics An observation belongs to a central or intermediate order if, for any fixed rank k, the limit of rank divided by sample size, as sample size approaches infinity, is a constant, and not equal to either or 1 (Leadbetter et al., 1983). For an independent and identically distributed population the central o...rder statistics will follow the normal distribution (Hoeffding, 1948; Mood et al., 1963) 97 P{a„(Mr"^-b„)0,c>0,a>0 *(-c|x|«) x0,a>0 1 x>0 H(x) = H(x) = H(x) = H(x) = *(-cJxr) 1/2 1 x0,a>0 x>0,C2>0,a>0 xl (24) The intermediate order statistics will follow either the normal or lognormal distribution (Chibisov, 1964; Leadbetter et al., 1983; Wu, 1966) P{a„(Ml''"^-b„)
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