水利学报
水利學報
수리학보
2013年
11期
1263-1271
,共9页
张子贤%孙光东%孙建印%彭长刚
張子賢%孫光東%孫建印%彭長剛
장자현%손광동%손건인%팽장강
暴雨强度总公式%非线性回归%误差平方和%直接拟合法%传统方法%理论频率分布
暴雨彊度總公式%非線性迴歸%誤差平方和%直接擬閤法%傳統方法%理論頻率分佈
폭우강도총공식%비선성회귀%오차평방화%직접의합법%전통방법%이론빈솔분포
storm intensity multi-period formula%nonlinear regression%error sum of squares%direct fitting method%conventional method%theory frequency distribution
传统方法确定暴雨强度总公式的参数需要经过理论频率曲线拟合和总公式参数拟合两个环节,但由此法求得的暴雨强度总公式拟合实测雨强样本的误差平方和不为最小。本文采用非线性回归方法,研究了暴雨强度总公式直接拟合实测雨强样本的直接拟合法,使所求总公式拟合实测雨强样本的误差平方和为最小,实现了总公式参数的直接寻优。结合两个实例,对直接拟合法与采用不同理论频率分布的传统方法进行了比较,结果表明,直接拟合法切实可行,不仅使拟合精度提高,而且减少了不同理论频率曲线的选择与拟合环节,可避免推求暴雨强度总公式参数的任意性。
傳統方法確定暴雨彊度總公式的參數需要經過理論頻率麯線擬閤和總公式參數擬閤兩箇環節,但由此法求得的暴雨彊度總公式擬閤實測雨彊樣本的誤差平方和不為最小。本文採用非線性迴歸方法,研究瞭暴雨彊度總公式直接擬閤實測雨彊樣本的直接擬閤法,使所求總公式擬閤實測雨彊樣本的誤差平方和為最小,實現瞭總公式參數的直接尋優。結閤兩箇實例,對直接擬閤法與採用不同理論頻率分佈的傳統方法進行瞭比較,結果錶明,直接擬閤法切實可行,不僅使擬閤精度提高,而且減少瞭不同理論頻率麯線的選擇與擬閤環節,可避免推求暴雨彊度總公式參數的任意性。
전통방법학정폭우강도총공식적삼수수요경과이론빈솔곡선의합화총공식삼수의합량개배절,단유차법구득적폭우강도총공식의합실측우강양본적오차평방화불위최소。본문채용비선성회귀방법,연구료폭우강도총공식직접의합실측우강양본적직접의합법,사소구총공식의합실측우강양본적오차평방화위최소,실현료총공식삼수적직접심우。결합량개실례,대직접의합법여채용불동이론빈솔분포적전통방법진행료비교,결과표명,직접의합법절실가행,불부사의합정도제고,이차감소료불동이론빈솔곡선적선택여의합배절,가피면추구폭우강도총공식삼수적임의성。
Conventional method for determining the parameters of the storm intensity multi-period formula usually consists of two fitting processes,fitting the theory frequency curve and fitting the parameters of storm intensity multi-period formula. By such way to fit samples of the observed storm intensity, sum of squared error cannot reach the minimum. In this paper,a direct fitting method for storm intensity multi-pe-riod formula has been studied by nonlinear regression to directly fit the samples. With the storm intensity multi-period formula obtained by the direct fitting method,the minimum sum of squared error can be ac-quired in the process of fitting samples of observed storm intensity,and the best parameters are directly es-timated. Combined two examples, the direct fitting method were compared with the conventional methods by using different theory frequency curve. The results indicate that the direct fitting method is feasible, which can increase the fitting accuracy, decrease the processes of choosing and fitting for different theory frequen-cy curve,and avoid arbitrariness of deriving parameters for the storm intensity multi-period formula.