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.

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 ...

The paper is concerned with the relationship between various modes of convergence for stochastically monotone sequences of random variables. A necessary and sufficient condition, as well as a ...