MATHEMATICAL FOUNDATIONS OF RTLLR
1. Large Sample Size. The marginal distributions of the \(Q_i\)'s are \(Binomial\left(n,p_i\right)\). However, as sample size \(n\) goes to infinity, the interval of \(I_i\) converges to a single point and thus \(p_i\) is driven to 0. We will show that as \(n\to\infty, Q_i \overset{D}{\to} Poisson(10f(x_i)) \).