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The small sample expectation of rescaled population and rescaled adjusted ranges
Author(s) -
Şen Zekâi
Publication year - 1977
Publication title -
water resources research
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.863
H-Index - 217
eISSN - 1944-7973
pISSN - 0043-1397
DOI - 10.1029/wr013i006p00981
Subject(s) - mathematics , equivalence (formal languages) , range (aeronautics) , statistics , econometrics , materials science , discrete mathematics , composite material
The expected value of the rescaled range R / S , which is a measure of long‐term persistence in hydrology, has analytically been obtained by making use of t distribution. The application of the model has been performed for various hydrological processes. Finally, the asymptotic equivalence for expectations of the range and the rescaled range has been proven.