Inference about the shape parameters of several inverse Gaussian distributions: testing equality and confidence interval for a common value

被引:0
作者
Mohammad Reza Kazemi
Ali Akbar Jafari
机构
[1] Fasa University,Department of Statistics, Faculty of Science
[2] Yazd University,Department of Statistics
来源
Metrika | 2019年 / 82卷
关键词
Confidence distribution; Maximum likelihood estimation; Modified signed log-likelihood ratio;
D O I
暂无
中图分类号
学科分类号
摘要
In this paper, we consider inference about the shape parameters of several inverse Gaussian distributions. At first, an approach is given to test the equality of these parameters based on modified likelihood ratio test. Then, five approaches are presented to construct confidence intervals for the common shape parameter. The performance of these approaches is studied using Monte Carlo simulation, and illustrated using a real data set.
引用
收藏
页码:529 / 545
页数:16
相关论文
共 31 条
[1]  
Barndorff-Nielsen OE(1991)Modified signed log likelihood ratio Biometrika 78 557-563
[2]  
Chaubey YP(2014)On testing the coefficient of variation in an inverse Gaussian population Stat Probab Lett 90 121-128
[3]  
Sen D(2001)Simple and accurate one-sided inference from signed roots of likelihood ratios Can J Stat 29 67-76
[4]  
Saha KK(1999)A simple general formula for tail probabilities for frequentist and Bayesian inference Biometrika 86 249-264
[5]  
DiCiccio TJ(1990)Inferences on the coefficient of variation of an inverse Gaussian distribution Commun Stat Theory Methods 19 1589-1605
[6]  
Martin MA(2014)Improved tests for the equality of normal coefficients of variation Comput Stat 29 215-232
[7]  
Stern SE(2013)The higher order likelihood method for the common mean of several log-normal distributions Metrika 76 381-392
[8]  
Fraser DAS(2015)A note on combined inference on the common coefficient of variation using confidence distributions Electron J Stat 9 219-233
[9]  
Reid N(2015)Combining inferences on the common mean of several inverse Gaussian distributions based on confidence distribution Stat Probab Lett 105 136-142
[10]  
Wu J(2014)Testing equality of shape parameters in several inverse Gaussian populations Metrika 77 795-809