Strong Consistency of Estimates in Regression Analysis for Contamination Data

Consider the simple regraseion model （Ⅰ）y_i＝α＋x_iβ＋ε_i，i＝1，2，…，n, and the semipara-metric regression model （Ⅱ）y_i＝x_iβ＋g（t_i）+ε_i，i＝1，2，…，n. Where Eε_i＝0， Eε_i²＝σ₁². Assume that y₁, y₂,…, y_n are contammated by another i.i.d. random variable sequence μ₁，μ₂，…，μ_n, and only the contaminated data are observable, where μ_i is independent of y_i . For the estimates of α，β，g（·） and contammation parameter v given in 1 and 2, we establish their strong consistency under suitable conditions