| Title:
|
Limit theorems for $B$-lattice valued random variables (English) |
| Author:
|
Urbaníková, Marta |
| Language:
|
English |
| Journal:
|
Mathematica Slovaca |
| ISSN:
|
0139-9918 |
| Volume:
|
52 |
| Issue:
|
1 |
| Year:
|
2002 |
| Pages:
|
99-108 |
| . |
| Category:
|
math |
| . |
| MSC:
|
60F05 |
| idZBL:
|
Zbl 1007.60002 |
| idMR:
|
MR1901017 |
| . |
| Date available:
|
2009-09-25T14:06:20Z |
| Last updated:
|
2012-08-01 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/131917 |
| . |
| Reference:
|
[1] CHOW Y. S., LAI T. L.: Limiting behavior of weighted sums of independent random variables.Ann. Probab. 1 (1973), 810-824. Zbl 0303.60025, MR 0353426 |
| Reference:
|
[2] CRISTESCU R.: Sur la représentation intégrale de certains opérateurs linéeires.Rev. Roumaine Math. Pures Appl. 25 (1980), 519-524. MR 0577044 |
| Reference:
|
[3] KANTOROVITCH V. L., VULICH B. Z., PINSKER A. G.: Funkcional'nyj analiz v poluuporiadochennych prostranstvakh.Gos. izd. techn. lit., Moskva, 1950. (Russian) |
| Reference:
|
[4] KELEMENOVÁ M.: On the expected value of vector lattice-valued random variables.Acta Math. Univ. Comenian. 56-57 (1988), 153-157. MR 1083018 |
| Reference:
|
[5] LOEVE M.: Probability Theory.(3rd ed.), Van Nostrand, London, 1963. Zbl 0108.14202, MR 0203748 |
| Reference:
|
[6] PADGETT W. J., TAYLOR R. L.: Almost sure convergence of weighted sums of random elements in Banach spaces.In: Probability in Banach Spaces, Oberwolfach, 1975. Lecture Notes in Math. 526, Springer, Berlin, 1976, pp. 187-202. MR 0455065 |
| Reference:
|
[7] POTOCKÝ R.: A weak law of large numbers for vector lattice-valued random variables.Acta Math. Univ. Comenian. 42-43 (1983), 211-214. Zbl 0538.60012, MR 0740751 |
| Reference:
|
[8] POTOCKÝ R.: A strong law of large numbers for identically distributed vector lattice-valued random variables.Math. Slovaca 34 (1984), 67-72. Zbl 0599.60038, MR 0735937 |
| Reference:
|
[9] POTOCKÝ R.: On the expected value of vector lattice-valued random variables.Math. Slovaca 36 (1986), 401-405. Zbl 0621.60002, MR 0871780 |
| Reference:
|
[10] SCHAEFER H. H.: Banach Lattices and Positive Operators.Grundlehren Math. Wiss. 215, Springer-Verlag, Berlin-Heidelberg-New York, 1974. Zbl 0296.47023, MR 0423039 |
| Reference:
|
[11] SZULGA J.: Lattice moments of random vectors.Bull. Polish Acad. Sci. Math. 28 (1980), 87-93. Zbl 0486.60007, MR 0616206 |
| Reference:
|
[12] TAYLOR R. L.: Stochastic Convergence of Weighted Sums of Random Elements in Linear Spaces.Lecture Notes in Math. 672, Springer, Berlin, 1978. Zbl 0443.60004, MR 0513422 |
| Reference:
|
[13] WANG X. C., BHASKARA RAO M.: A note on convergence of weighted sums of random variables.J. Multivariate Anal. 15, 124-134. Zbl 0583.60021, MR 0755820 |
| . |
