Yilun Shang ᵃ, A central limit theorem for randomly indexed 𝑚-dependent random variables, Filomat, Vol. 26, No. 4 (2012), pp. 713-717 ...

Let X and Y be independent random variables and let Z be a uniform random variables over [X, Y] (if X < Y) or [Y, X] (if X > Y). We study the distribution of the variable Z and show that the arcsin ...