Distribution of values of a singular non-monotonic function of the Cantor type
Let f be a non-monotonic singular function of the Cantor type defined interms of quinary representation of the numbers and let $X$ be a randomvariable whose digits of its quinary representation are independent of therandom variables. We study a Lebesgue structure of distribution of therandom variable...
Gespeichert in:
| Datum: | 2017 |
|---|---|
| Автори та афіліації: |
|
| Ключові слова: | keywords |
| Hauptverfasser: | , , , , |
| Format: | Artikel |
| Sprache: | Ukrainisch |
| Veröffentlicht: |
Інститут математики НАН України
2017
|
| Online Zugang: | https://trim.imath.kiev.ua/index.php/trim/article/view/337 |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| Назва журналу: | Transactions of Institute of Mathematics of NAS of Ukraine |
| Завантажити файл: |
|
Institution
Transactions of Institute of Mathematics of NAS of Ukraine| Zusammenfassung: | Let f be a non-monotonic singular function of the Cantor type defined interms of quinary representation of the numbers and let $X$ be a randomvariable whose digits of its quinary representation are independent of therandom variables. We study a Lebesgue structure of distribution of therandom variable $Y = f(X)$, topological, metric and fractal properties ofits spectrum. |
|---|