Some comments on a result of Hanš on strong convergence of sequences of random elements in separable Banach spaces

Abolghassem Bozorgnia; M. Bhaskara Rao

Mathematica Slovaca (1989)

  • Volume: 39, Issue: 2, page 191-197
  • ISSN: 0139-9918

How to cite

top

Bozorgnia, Abolghassem, and Rao, M. Bhaskara. "Some comments on a result of Hanš on strong convergence of sequences of random elements in separable Banach spaces." Mathematica Slovaca 39.2 (1989): 191-197. <http://eudml.org/doc/34289>.

@article{Bozorgnia1989,
author = {Bozorgnia, Abolghassem, Rao, M. Bhaskara},
journal = {Mathematica Slovaca},
keywords = {Banach space; almost sure convergence; convergence in probability},
language = {eng},
number = {2},
pages = {191-197},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {Some comments on a result of Hanš on strong convergence of sequences of random elements in separable Banach spaces},
url = {http://eudml.org/doc/34289},
volume = {39},
year = {1989},
}

TY - JOUR
AU - Bozorgnia, Abolghassem
AU - Rao, M. Bhaskara
TI - Some comments on a result of Hanš on strong convergence of sequences of random elements in separable Banach spaces
JO - Mathematica Slovaca
PY - 1989
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 39
IS - 2
SP - 191
EP - 197
LA - eng
KW - Banach space; almost sure convergence; convergence in probability
UR - http://eudml.org/doc/34289
ER -

References

top
  1. BANACH S., Theorie des Opérations Linéaires, Warszawa 1932. (1932) Zbl0005.20901
  2. BECK A., WARREN P., Strong laws of large numbers for weaklу orthogonal sequences of Banach space-valued random variables, Ann. Probabilitу, Vol. 2, 1974, 918-925. (1974) MR0391203
  3. CHUNG K. L., A Course in Probabilitу Theorу, Second edition, Academic Press, London 1974. (1974) MR0346858
  4. HANŠ O., Generalized random variables, In: Trans. First Prague Conf. on Information Theorу, Statistics, Decision Functions, and Random Processes, 1957, 61-103. (1957) Zbl0089.33901MR0100906
  5. WANG X. C., RAO M. B., Convergence in the pth - mean and some weak laws of large numbers for weighted sums of random elements in seрarable normed linear spaces, J. Multivariate Analуsis, Vol. 15, No. V 124-134. MR0755820

NotesEmbed ?

top

You must be logged in to post comments.