“…In recent years, limit theorems have been marked by numerous papers on Poisson approximations; see, for example, [1]- [5], [7], [9], [11], [13], [15], [17]- [24], [29]- [33] and the references therein. We can state that, in this field, an overwhelming majority of research is following traditions established by the pioneering papers of Prokhorov [32], Le Cam [26], Grigelionis [20], and Franken [19].…”