On the limit conditional distributions connected with large deviations
The author finds the limit distribution of functionals of \(n\) successive sums of random vectors as \(n\to \infty\) under the condition that the value of the last \(n\)th sum belongs to some interval which may be situated in the range of large deviations. An analog of the law of the iterated logarithm for the conditional distributions of successive sums under the same condition is proved.
scientific article; zbMATH DE number 1023920