53 More formally.consider a sequence of estimators {T(Xn)}and a sequence of parameter values {on}so that vn(n-00)is bounded. T(Xn)is a regular sequence of estimators if Pan[v元(T(Xn)-g(0n)）≤ad converges to the same limit as Pa[v元(T(Xn)-g(0o)≤ad for all a.For estimators that are regular and satisfy (2),(3)holds. When we talk about influence functions,we will formally establish this result.53 More formally. consider a sequence of estimators {T(Xn)} and a sequence of parameter values {θn} so that √n(θn − θ0) is bounded. T(Xn) is a regular sequence of estimators if Pθn [√n(T(Xn) − g(θn)) ≤ a] converges to the same limit as Pθ0 [√n(T(Xn) − g(θ0)) ≤ a] for all a. For estimators that are regular and satisfy (2), (3) holds. When we talk about influence functions, we will formally establish this result