On the rate of Poisson approximation to Bernoulli partial sum processes

Результат исследования: Научные публикации в периодических изданияхстатья

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 оригиналаанглийский
Номер статьи108754
Число страниц7
ЖурналStatistics and Probability Letters
Том162
DOI
СостояниеОпубликовано - июл 2020

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