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正态变换及其误差比较研究
引用本文:刘长标. 正态变换及其误差比较研究[J]. 湖北大学学报(自然科学版), 1999, 0(1)
作者姓名:刘长标
作者单位:湖北大学经济学院!湖北武汉430062(刘长标),中国人民大学统计系!北京,100872(袁卫,薛江锐,汪涛)
基金项目:国家教委“跨世纪人才”资助!19977
摘    要:在介绍正态幂变换和正态模变换的同时讨论了逆双曲正弦变换及其性质,并在Cornish-Fisher展开的基础上讨论了相应的正态变换,最后通过随机模拟的方法比较了上述几种正态变换的误差,并通过农作物保险费率精算的实例加以说明.

关 键 词:正态变换  随机模拟  误差

Normal Distribution Transformation of Its Errors
Liu Changbiao, Yuan Wei, Xue Jiangrui, Wang Tao. Normal Distribution Transformation of Its Errors[J]. Journal of Hubei University(Natural Science Edition), 1999, 0(1)
Authors:Liu Changbiao   Yuan Wei   Xue Jiangrui   Wang Tao
Abstract:Normal power transformation and normal modulus transformation are introduced, meanwhile, inverse hyperbolic sine transformation and its properties are studied, and based on the Cornish- Fisher expansion, the relevent normal transformation is researched , in the latter part, the errors of the above normal transformations are compared through random simulation, and illustrated by the example about the actuary rate of crop insurance.
Keywords:Normal distribution transformation  Simulation  Error
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