Strong Laws of Large Numbers for ?-Valued Random Fields

Author

Lagodowski, Zbigniew A.

Source

Discrete Dynamics in Nature and Society

Issue

Vol. 2009, Issue 2009 (31 Dec. 2009), pp.1-12, 12 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2009-05-11

Country of Publication

Egypt

No. of Pages

12

Main Subjects

Mathematics

Abstract EN

We extend to random fields case, the results of Woyczynski, who proved Brunk's type strong law of large numbers (SLLNs) for ?-valued random vectors under geometric assumptions.

Also, we give probabilistic requirements for above-mentioned SLLN, related to results obtained by Acosta as well as necessary and sufficient probabilistic conditions for the geometry of Banach space associated to the strong and weak law of large numbers for multidimensionally indexed random vectors.

American Psychological Association (APA)

Lagodowski, Zbigniew A.. 2009. Strong Laws of Large Numbers for ?-Valued Random Fields. Discrete Dynamics in Nature and Society،Vol. 2009, no. 2009, pp.1-12.
https://search.emarefa.net/detail/BIM-475381

Modern Language Association (MLA)

Lagodowski, Zbigniew A.. Strong Laws of Large Numbers for ?-Valued Random Fields. Discrete Dynamics in Nature and Society No. 2009 (2009), pp.1-12.
https://search.emarefa.net/detail/BIM-475381

American Medical Association (AMA)

Lagodowski, Zbigniew A.. Strong Laws of Large Numbers for ?-Valued Random Fields. Discrete Dynamics in Nature and Society. 2009. Vol. 2009, no. 2009, pp.1-12.
https://search.emarefa.net/detail/BIM-475381

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-475381