Consider an experiment E = {X, , p(xl)}. We say that censoring (strictly speaking, fixed censoring) occurs with censoring mechanism g (a known function of

Consider an experiment E = {X̃, θ, p(xlθ)}. We say that censoring (strictly speaking, fixed censoring) occurs with censoring mechanism g (a known function of X̃) when, instead of X̃, one observes y = g(x). A typical example occurs when we report x if x g = {ỹ, θ, p(ylθ)}. A second method with censoring mechanism his said to be equivalent to the first when 

As a special case, if g is one-to-one then the mechanism is said to be equivalent to no censoring. Show that if two censoring mechanisms are equivalent, then the likelihood principle implies that

g(x) = g(x') if and only if h(x) = h(x').