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Likelihood Inference of Nonlinear Models Based on a Class of Flexible Skewed Distributions
Joint Authors
Chen, Xuedong
Zeng, Qianying
Song, Qiankun
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-12-02
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Abstract EN
This paper deals with the issue of the likelihood inference for nonlinear models with a flexible skew-t-normal (FSTN) distribution, which is proposed within a general framework of flexible skew-symmetric (FSS) distributions by combining with skew-t-normal (STN) distribution.
In comparison with the common skewed distributions such as skew normal (SN), and skew-t (ST) as well as scale mixtures of skew normal (SMSN), the FSTN distribution can accommodate more flexibility and robustness in the presence of skewed, heavy-tailed, especially multimodal outcomes.
However, for this distribution, a usual approach of maximum likelihood estimates based on EM algorithm becomes unavailable and an alternative way is to return to the original Newton-Raphson type method.
In order to improve the estimation as well as the way for confidence estimation and hypothesis test for the parameters of interest, a modified Newton-Raphson iterative algorithm is presented in this paper, based on profile likelihood for nonlinear regression models with FSTN distribution, and, then, the confidence interval and hypothesis test are also developed.
Furthermore, a real example and simulation are conducted to demonstrate the usefulness and the superiority of our approach.
American Psychological Association (APA)
Chen, Xuedong& Zeng, Qianying& Song, Qiankun. 2014. Likelihood Inference of Nonlinear Models Based on a Class of Flexible Skewed Distributions. Abstract and Applied Analysis،Vol. 2014, no. 2014, pp.1-8.
https://search.emarefa.net/detail/BIM-1014202
Modern Language Association (MLA)
Chen, Xuedong…[et al.]. Likelihood Inference of Nonlinear Models Based on a Class of Flexible Skewed Distributions. Abstract and Applied Analysis No. 2014 (2014), pp.1-8.
https://search.emarefa.net/detail/BIM-1014202
American Medical Association (AMA)
Chen, Xuedong& Zeng, Qianying& Song, Qiankun. Likelihood Inference of Nonlinear Models Based on a Class of Flexible Skewed Distributions. Abstract and Applied Analysis. 2014. Vol. 2014, no. 2014, pp.1-8.
https://search.emarefa.net/detail/BIM-1014202
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1014202