Аннотация:
In the work, which consists of 4 papers (the article and [1]–[3]), we obtain integro-local limit theorems in the phase space for multidimensional compound renewal processes, when Cramer's condition holds.
In the part II (the article) we consider the so-called first renewal process $\mathbf{Z}(t)$ in an irregular region.
Ключевые слова:compound multidimensional renewal process, first renewal process, large deviations, integro-local limit theorems, renewal measure, Cramer's condition, deviation (rate) function, second deviation (rate) function.