P-范分布尺度参数的L_(q)-似然比检验  

L_(q)-likelihood ratio test of scale parameter for P-norm distribution

作　　者：任欢 胡宏昌 REN Huan;HU Hong-chang(College of Mathematics and Statistics,Hubei Normal University,Huangshi 435002,China)

机构地区：[1]湖北师范大学数学与统计学院,湖北黄石435002

出　　处：《湖北师范大学学报（自然科学版）》2022年第2期20-26,共7页Journal of Hubei Normal University：Natural Science

摘　　要：给出了P-范分布尺度参数的L_(q)-似然比检验方法,得到了原假设情况下尺度参数的L_(q)-似然比统计量,通过借助尺度参数的L_(q)-似然估计的存在性和渐近性,得到了统计量的密度函数,最后给出了模拟算例,算例结果进一步说明本文检验方法的合理性。Under the original assumption,L_(q)-likelihood ratio test statistic and its density function of scale parameter for P-norm distribution are given in this paper.By means of the existence and asymptotic property of the L_(q)-likelihood estimation for scale parameter,we obtained the density function of the statistics.In the end,a simulation example is given,which shows the theoretical method is rational.

关 键 词：P-范分布 L_(q)-似然比检验 尺度参数 

分 类 号：O212.2[理学—概率论与数理统计]