Аннотация
We investigate approximation of a Bernoulli partial sum process to the accompanying Poisson process in the non-i.i.d. case. The rate of closeness is studied in terms of the minimal distance in probability. In particular, a new lower bound for the total variation distance between a Bernoulli partial sum process and the accompanying Poisson process is obtained.
Язык оригинала | английский |
---|---|
Номер статьи | 108754 |
Число страниц | 7 |
Журнал | Statistics and Probability Letters |
Том | 162 |
DOI | |
Состояние | Опубликовано - июл 2020 |