LIANG Hua. A Sufficient and Necessary Condition on Cramér Asymptotic Efficiency in a Semiparametric Regression Model[J]. Chinese Journal of Applied Probability and Statistics, 1996, 12(3): 233-238.
Citation: LIANG Hua. A Sufficient and Necessary Condition on Cramér Asymptotic Efficiency in a Semiparametric Regression Model[J]. Chinese Journal of Applied Probability and Statistics, 1996, 12(3): 233-238.

A Sufficient and Necessary Condition on Cramér Asymptotic Efficiency in a Semiparametric Regression Model

  • The paper is concerned with the semiparametric regression model Y = Xrβ+ gT)+ε, where(Xr,T, Y) are (k + 2)-dimensional random vector, g(·) is an unknown smooth function to be estimated, ε is variable error with zero mean and finite variance It is shown that the LS estimators of β is asymptotically efficiency in sense of Cramér if and only if ε-N(0, σ2).
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