A general missing information principle is proposed for constructing M-estimators of regression parameters in the presence df left truncation and right censoring on the observed responses. By making use of martingale central limit theorems and empirical process theory, the asymptotic normality of M-estimators is established under certain assumptions. Asymptotically efficient M-estimators are also developed by using data-dependent score functions. In addition, robustness properties of the estimators are discussed and formulas for their influence functions are derived for the robustness analysis.
机构:
Avignon Univ, LMA EA2151, Campus Jean Henri Fabre,301 Rue Baruch Spinoza, F-84916 Avignon 9, FranceAvignon Univ, LMA EA2151, Campus Jean Henri Fabre,301 Rue Baruch Spinoza, F-84916 Avignon 9, France
El Asri, M.
Blanke, D.
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机构:
Avignon Univ, LMA EA2151, Campus Jean Henri Fabre,301 Rue Baruch Spinoza, F-84916 Avignon 9, FranceAvignon Univ, LMA EA2151, Campus Jean Henri Fabre,301 Rue Baruch Spinoza, F-84916 Avignon 9, France
Blanke, D.
Gabriel, E.
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Avignon Univ, LMA EA2151, Campus Jean Henri Fabre,301 Rue Baruch Spinoza, F-84916 Avignon 9, FranceAvignon Univ, LMA EA2151, Campus Jean Henri Fabre,301 Rue Baruch Spinoza, F-84916 Avignon 9, France