Abstract:
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.