| Title:
|
Statistical linear spaces. I. Properties of $\varepsilon$, $\eta$-topology (English) |
| Author:
|
Michálek, Jiří |
| Language:
|
English |
| Journal:
|
Kybernetika |
| ISSN:
|
0023-5954 |
| Volume:
|
20 |
| Issue:
|
1 |
| Year:
|
1984 |
| Pages:
|
58-72 |
| . |
| Category:
|
math |
| . |
| MSC:
|
08A02 |
| MSC:
|
46A15 |
| MSC:
|
46A99 |
| MSC:
|
54A40 |
| MSC:
|
54H99 |
| MSC:
|
60B99 |
| idZBL:
|
Zbl 0542.46006 |
| idMR:
|
MR741420 |
| . |
| Date available:
|
2009-09-24T17:38:56Z |
| Last updated:
|
2012-06-05 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/125679 |
| . |
| Related article:
|
http://dml.cz/handle/10338.dmlcz/124495 |
| . |
| Reference:
|
[1] B. Schweizer, A. Sklar: Statistical metric spaces.Pacific J. Math. 10 (1960 I), 313-335. Zbl 0096.33203, MR 0115153 |
| Reference:
|
[2] B. Schweizer A. Sklar, E. Thorp: The metrization of statistical metric spaces.Pacific J. Math. 10 (1960 I), 673-677. MR 0115154 |
| Reference:
|
[3] B. Schweizer: On the uniform continuity of the probabilistic distance.Z. Warsch. verw. Gebiete 5 (1966), 357-360. Zbl 0139.36001, MR 0212843 |
| Reference:
|
[4] H. Sherwood: On the completion of probabilistic metric spaces.Z. Wahrsch. verw. Gebiete 6 (1966), 62-64. Zbl 0231.60004, MR 0212844 |
| Reference:
|
[5] N. Nishura: Constructive method in probabilistic metric spaces.Fundamenta Mathematicae, Nr. 67 (1970), 115-124. MR 0259978 |
| Reference:
|
[6] K. Menger: Statistical metric.Proc. Nat. Acad. Sci. U.S.A. 28 (1942), 535-537. MR 0007576 |
| Reference:
|
[7] P. S. Marcus: Probabilistic metric spaces constructed from stationary Markov chains.Aequationes Math. 75(1977), 1-3, 169-171. Zbl 0365.60053, MR 0461668 |
| Reference:
|
[8] R. Moynihan: Probabilistic metric spaces induced by Markov chains.Z. Wahrsch. verw. Gebiete 35 (1976), 2, 177-187. Zbl 0314.60047, MR 0413218 |
| Reference:
|
[9] H. Sherwood: A note on PM-spaces determined by measure preserving transformation.Z. Wahrsch. verw. Gebiete 33 (1975/76), 4, 353-354. MR 0405371 |
| Reference:
|
[10] S. Sklar: Random variables, joint distribution functions and copulas.Kybernetika 9 (1973), 6, 449-460. Zbl 0292.60036, MR 0345164 |
| Reference:
|
[11] J. L. Kelley, I. Namioka: Linear Topological Spaces.Van Nostrand, New York 1963. Zbl 0115.09902, MR 0166578 |
| . |
