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SUMMARY. For a stationary *-mixing stochastic process, the law of iterated logarithm, asymptotic normality and weak convergence to Brownian motion processes

The object of the present investigation is to extend the findings of Hajek [5J on asymptotically most powerful rank order tests (AMPROT) to grouped data where the underlying distributions are essentially continuous but I the observable random variables correspond to a finite or countable set of contiguous class intervals. In this context, the two sample problem for grouped data is considered an...

in this paper, we introduce a new generalization of weakly prime ideals called $i$-prime. suppose $r$ is a commutative ring with identity and $i$ a fixed ideal of $r$. a proper ideal $p$ of $r$ is $i$-prime if for $a, b in r$ with $ab in p-ip$ implies either $a in p$ or $b in p$. we give some characterizations of $i$-prime ideals and study some of its properties.  moreover, we give conditions  ...