On the rate of Poisson approximation to Bernoulli partial sum processes

Pavel S. Ruzankin; Igor S. Borisov

doi:10.1016/j.spl.2020.108754

On the rate of Poisson approximation to Bernoulli partial sum processes

Результат исследования: Научные публикации в периодических изданиях › статья › рецензирование

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	https://doi.org/10.1016/j.spl.2020.108754
Состояние	Опубликовано - июл 2020

Доступ к документу

10.1016/j.spl.2020.108754

Link to publication in Scopus

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KW - DISTANCES

KW - TERMS

KW - PROBABILITY-MEASURES

KW - UNBOUNDED FUNCTIONS

KW - EXPECTATIONS

KW - RANDOM-VARIABLES

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