Interval estimation of regression analysis parameters for contamination data

truncation of data;  pollution data;  Interval estimation

Truncated data is an important research content of survival analysis, and the analysis of pollution data has received more and more attention in recent years. Study the simple regression model: X(0)i=γ+βμi+εi, i=1,2,...,n, where Eεi=0, Eε2i=σ21; However, X(0)1,X(0)2,...,X(0)n is polluted by another independent sequence of uniformly distributed random variables W1,W2,...,Wn, Wi is independent of X(0)i, and only the pollution data Xi=(1-α)X(0)i+αWi,i=1,2,...,n. gives the interval estimation of the regression parameter γ and β.