| Title:
|
Random $n$-ary sequence and mapping uniformly distributed (English) |
| Author:
|
Ho, Nguyen Van |
| Author:
|
Hoa, Nguyen Thi |
| Language:
|
English |
| Journal:
|
Applications of Mathematics |
| ISSN:
|
0862-7940 (print) |
| ISSN:
|
1572-9109 (online) |
| Volume:
|
40 |
| Issue:
|
1 |
| Year:
|
1995 |
| Pages:
|
33-46 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
Višek [3] and Culpin [1] investigated infinite binary sequence $X=(X_1,X_2,\dots )$ with $X_i$ taking values $0$ or $1$ at random. They investigated also real mappings $H(X)$ which have the uniform distribution on $[0;1]$ (notation $\mathcal U(0;1)$). The problem for $n$-ary sequences is dealt with in this paper. (English) |
| Keyword:
|
random $n$-ary sequences |
| Keyword:
|
uniform distribution |
| MSC:
|
60F99 |
| MSC:
|
60G99 |
| idZBL:
|
Zbl 0834.60060 |
| idMR:
|
MR1305647 |
| DOI:
|
10.21136/AM.1995.134276 |
| . |
| Date available:
|
2009-09-22T17:46:18Z |
| Last updated:
|
2020-07-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/134276 |
| . |
| Reference:
|
[1] D. Culpin: Distribution of random binary sequence.Aplikace matematiky 25 (1980), 408–416. MR 0596847 |
| Reference:
|
[2] I.I. Gichman, A.V. Skorochod: Introduction to the theory of random processes.Moskva, 1977. |
| Reference:
|
[3] J.A. Višek: On properties of binary random numbers.Aplikace matematiky 19 (1974), 375–385. MR 0375442 |
| Reference:
|
[4] J. Hájek, Z. Šidák: Theory of rank tests.Prague, 1967. MR 0229351 |
| Reference:
|
[5] W. Feller: An introduction to probability theory and its applications.New York, 1971. Zbl 0219.60003 |
| Reference:
|
[6] D. Dacunha-Castelle, M. Duflo: Probalilités et statistiques.Paris, 1983. |
| . |
