Acta Mathematica Sinica

, Volume 11, Issue 1, pp 81–87 | Cite as

An answer to Li's problem

  • Zhu Lixing
  • Cheng Ping


In this paper, an answer is given to a problem proposed by K.C. Li. This problem comes from the variable transformation for fitting a regression model.


Regression Model Variable Transformation 


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    Pollard, D., Convergence of Stochastic Processes, Springer-Verlag, New York, 1984.Google Scholar
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    Stout, W., Almost Sure Convergence, Academic, New York, 1974.Google Scholar
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    Li, K. C., Sight-seeing with SIR: a transformation-based projection pursuit method, manuscript, 1990a.Google Scholar
  4. [4]
    Shi, P.D. and Zhu, L.X.,A convergent result of projection index concerning inverse regression, Sys. Sci. and Math. Sci.,6(1993), 32–43.Google Scholar

Copyright information

© Science Press 1995

Authors and Affiliations

  • Zhu Lixing
    • 1
  • Cheng Ping
    • 2
  1. 1.Institute of Applied MathematicsAcademia SinicaBeijingPeople's Republic of China
  2. 2.Institute of Systems ScienceAcademia SinicaBeijingPeople's Republic of China

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