The Statistical Analysis for Some Structure Reliability in the Reliability Growth Tests

Let X_i1,X_i2……,X_in, be a sample for random variable X_i, （i=1,2,…,m） and {X_ij, 1≤ i≤m, 1≤j≤n_i} be independent. Suppose that X_i is distributed as N（θ_i,δ_i²）(θ_iandδ_i are unknown） and the condition P（X₁>c）≤P（X₂>c）≤…≤P(X_m>c）,for some tixed number c holds.
In this paper, we have given the point estimate and the lower confidence limit forP（X_m＞c） based on all data {X_ij, 1≤ i≤m, 1≤j≤n_i}, which has important value in the reliability engineering.