孙海燕, 潘雄. 一元p-范分布的参数估计[J]. 武汉大学学报 ( 信息科学版), 2003, 28(5): 551-554.
引用本文: 孙海燕, 潘雄. 一元p-范分布的参数估计[J]. 武汉大学学报 ( 信息科学版), 2003, 28(5): 551-554.
SUN Haiyan, PAN Xiong. Parameter Estimation of the Mondic p-norm Distribution[J]. Geomatics and Information Science of Wuhan University, 2003, 28(5): 551-554.
Citation: SUN Haiyan, PAN Xiong. Parameter Estimation of the Mondic p-norm Distribution[J]. Geomatics and Information Science of Wuhan University, 2003, 28(5): 551-554.

一元p-范分布的参数估计

Parameter Estimation of the Mondic p-norm Distribution

  • 摘要: 应用矩估计法,在观测为误差单峰、对称的情况下,得到了一元ρ-范分布在不同情况下参数的计算公式。详细推导了一元p-范分布极大似然方程的解算公式,将矩估计法应用到极大似然平差的参数估计理论中,得到了一个比较好的算法,最后用两个算例说明了此方法的优越性。

     

    Abstract: Using the moment method of estimation,this paper obtains the parameter estimation of P-norm distribution.Under the assumption that the distribution of observations isunimodal and symmetry,this method can give the estimated values of μ,p,σ,but the calculating time is too long.The moment method of estimation and the maximum likelihood adjustment are combined to calculate the parameter.Two examples are presented.The new method shows an effective way of solving the problem.The estimated values are nearer to their theoreicical ones than those by the moment method of estimation or the maximum likelihood adjustment.

     

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