期刊文献+

Joint modelling of location and scale parameters of the skew-normal distribution 被引量:2

Joint modelling of location and scale parameters of the skew-normal distribution
下载PDF
导出
摘要 Joint location and scale models of the skew-normal distribution provide useful ex- tension for joint mean and variance models of the normal distribution when the data set under consideration involves asymmetric outcomes. This paper focuses on the maximum likelihood estimation of joint location and scale models of the skew-normal distribution. The proposed procedure can simultaneously estimate parameters in the location model and the scale model. Simulation studies and a real example are used to illustrate the proposed methodologies. Joint location and scale models of the skew-normal distribution provide useful ex- tension for joint mean and variance models of the normal distribution when the data set under consideration involves asymmetric outcomes. This paper focuses on the maximum likelihood estimation of joint location and scale models of the skew-normal distribution. The proposed procedure can simultaneously estimate parameters in the location model and the scale model. Simulation studies and a real example are used to illustrate the proposed methodologies.
出处 《Applied Mathematics(A Journal of Chinese Universities)》 SCIE CSCD 2014年第3期265-272,共8页 高校应用数学学报(英文版)(B辑)
基金 Supported by the National Natural Science Foundation of China(11261025,11201412) the Natural Science Foundation of Yunnan Province(2011FB016) the Program for Middle-aged Backbone Teacher,Yunnan University
关键词 joint mean and variance models of the normal distribution joint location and scale models ofthe skew-normal distribution maximum likelihood estimators skew-normal distribution. joint mean and variance models of the normal distribution, joint location and scale models ofthe skew-normal distribution, maximum likelihood estimators, skew-normal distribution.
  • 相关文献

参考文献21

  • 1M Aitkin. Modelling variance heterogeneity in normal regression using GLIM, Appl Statist, 1987 36: 332-339.
  • 2B C Arnold, R J Beaver. Skewed multivariate models related to hidden truncation and/or selective reporting (with discussion), TEST, 2002, 11: 7-54.
  • 3A Azzalini. A class of distributions which includes the normal ones, Scand J Statist, 1985, 12: 171-178.
  • 4A Azzalini, A Capitanio. Statistical applications of the multivariate skew normal distribution, J Roy Statist Soc Ser B, 1999, 61: 579-602.
  • 5A Azzalini, A Capitanio. Distributions generate by perturbation of symmetry with emphasis on a multivariate skew-t distribution, J Roy Statist Soc Ser B, 2003, 65: 367-389.
  • 6V G Cancho, V H Lachos, E M Ortega. A nonlinear regression model with skew-normal errors, Statist Papers, 2010, 51: 547-558.
  • 7J Engel, A F Huele. A generalized linear modeling approach to robust design, Technometrics, 1996, 38: 365-373.
  • 8A K Gupta, T Chen. Goodness of fit tests for the skew-normal distribution, Comm Statist Simulation Comput, 2001, 30: 907-930.
  • 9R D Gupta, R C Gupta. Analyzing skewed data by power normal model, TEST, 2008, 17: 19%210.
  • 10A C Harvey. Estimating regression models with multiplicative heteroscedasticity, Econometrica, 1976, 44: 460-465.

同被引文献17

引证文献2

二级引证文献10

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部