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Fitting of distribution functions by nonlinear least squares
Author(s) -
Snyder Willard M.
Publication year - 1972
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/wr008i006p01423
Subject(s) - outlier , non linear least squares , distribution (mathematics) , least squares function approximation , mathematics , nonlinear system , distribution fitting , sample (material) , statistics , mathematical analysis , explained sum of squares , probability distribution , physics , quantum mechanics , estimator , thermodynamics
An initial investigation of the use of nonlinear least squares to estimate the parameters of distribution functions produced promising results. All parameters of a distribution and seemingly most common distributions can be fitted by a common technique, and thus special methods adapted to particular distributions are eliminated. Two long‐standing problems, plotting positions and sample outliers, vanish with this method of fitting.