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Теория вероятностей и математическая статистика
On the modeling of stationary sequences using the inverse distribution function
N. S. Arkashov Novosibirsk State Technical University, 20, Karl Marx ave., 630073, Novosibirsk, Russia
Аннотация:
We study a method for modeling stationary sequences, which is implemented generally speaking by a nonlinear transformation of Gaussian noise. The paper establishes limit theorems in the metric space $D[0,1]$ for normalized processes of partial sums of sequences obtained as a result of the mentioned Gaussian noise transformation. Application of this method for simulating function words in fiction is investigated.
Ключевые слова:
modeling of stationary processes, long-range dependence, limit theorems, function words in fiction.
Поступила 20 сентября 2021 г., опубликована 23 августа 2022 г.
Образец цитирования:
N. S. Arkashov, “On the modeling of stationary sequences using the inverse distribution function”, Сиб. электрон. матем. изв., 19:2 (2022), 502–516
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/semr1517 https://www.mathnet.ru/rus/semr/v19/i2/p502
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