The Stochastic Convergence of a Function of Sample Successive Differences
The Stochastic Convergence of a Function of Sample Successive Differences
Let $f(x)$ be a bounded density function over the finite interval [A, B] with at most a finite number of discountinities. Let $X_1, X_2, \cdots, X_n$ be independent chance variables each with the density $f(x).$ Define $Y_1 \leqq Y_2 \leqq \cdots \leqq Y _n$ as the ordered values of $X_1, …