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, ...
Consider a set of independent identically distributed random variables indexed by $Z^d_+$, the positive integer $d$-dimensional lattice points, $d \geqq 2$. The ...
Sankhyā: The Indian Journal of Statistics, Series A (1961-2002), Vol. 54, No. 2 (Jun., 1992), pp. 198-214 (17 pages) Nonuniform rates of convergence to normality are studied for standardised sum of ...