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NON-PARAMETRIC ESTIMATION IN CONTAMINATED LINEAR MODEL 被引量:1
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作者 chai genxiang sun yan yang xiaohandept.ofappl.math.,tongjiuniv.,shanghai200092 《Applied Mathematics(A Journal of Chinese Universities)》 SCIE CSCD 2001年第2期195-202,共8页
In this paper, the following contaminated linear model is considered:y i=(1-ε)x τ iβ+z i, 1≤i≤n,where r.v.'s { y i } are contaminated with errors { z i }. To assume that the errors have the fin... In this paper, the following contaminated linear model is considered:y i=(1-ε)x τ iβ+z i, 1≤i≤n,where r.v.'s { y i } are contaminated with errors { z i }. To assume that the errors have the finite moment of order 2 only. The non parametric estimation of contaminated coefficient ε and regression parameter β are established, and the strong consistency and convergence rate almost surely of the estimators are obtained. A simulated example is also given to show the visual performance of the estimations. 展开更多
关键词 Contaminated data non parametric estimation strong consistency convergence rate almost surely.
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