The estimator proposed by Brunk for the indefinite integral of a regression function defined on the unit cube in β dimensional Euclidean space is studied. It is shown to be strongly uniformly ...

Convergence theorems form the backbone of probability theory and statistical inference, ensuring that sequences of random variables behave in a predictable manner as their index grows. These theorems, ...

The Annals of Mathematical Statistics, Vol. 41, No. 2 (Apr., 1970), pp. 710-712 (3 pages) A limit theorem for random sums of independent random elements of D[ 0, 1] is proved. The theorem extends and ...