非线性统计的若干新进展

NEW DEVELOPMENT OF NONLINEAR STATISTICAL INFERENCE

  • 摘要: 本文介绍近年来非线性统计的若干新进展。着重说明微分几何方法对于非线性统计推断的应用。主要内容为,曲指数族的统计分析,非线性回归模型的近代理论和方法,统计诊断的非线性方法。本文也指出了若干值得进一步研究的问题。

     

    Abstract: Some new development of nonlinear statistical analysis is reviewed in this paper with emphasis on using differential-geometry methods to the nonlinear statistical inference. Main topics are statistical analysis of curved exponential family, modern the- ory and methods of the nonlinear regression models and the nonlinear methods of statis- tical diagnostics. Some interesting problems worth further research are mentioned.

     

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