On the consistency of M-estimate in a linear model obtained through an estimating equation
We consider the linear model yi = x'i[beta] + ei, i = 1,...,n, and an estimating equation of the form [psi](y1-x'1[beta])x1 + ... + [psi](yn - x'n[beta])xn = 0 and prove the consistency of the estimator [beta] under some mild conditions on [psi]. The conditions imposed are much weaker than those assumed in earlier work by other authors. AMS 1980 Subject Classifications: 62J05, 62F10, 62F12
Year of publication: |
1992
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Authors: | Radhakrishna Rao, C. ; Zhao, LC. |
Published in: |
Statistics & Probability Letters. - Elsevier, ISSN 0167-7152. - Vol. 14.1992, 1, p. 79-84
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Publisher: |
Elsevier |
Subject: | Consistency estimating equation Gauss-Markov model |
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