Remarks on the SLLN for linear random fields

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Remarks on the SLLN for linear random fields. / Banys, Povilas; Davydov, Youri; Paulauskas, Vygantas.

In: Statistics and Probability Letters, Vol. 80, No. 5-6, 2010, p. 489-496.

Research output: Contribution to journal › Article › peer-review

Harvard

Banys, P, Davydov, Y & Paulauskas, V 2010, 'Remarks on the SLLN for linear random fields', Statistics and Probability Letters, vol. 80, no. 5-6, pp. 489-496. https://doi.org/10.1016/j.spl.2009.11.026

APA

Banys, P., Davydov, Y., & Paulauskas, V. (2010). Remarks on the SLLN for linear random fields. Statistics and Probability Letters, 80(5-6), 489-496. https://doi.org/10.1016/j.spl.2009.11.026

Vancouver

Banys P, Davydov Y, Paulauskas V. Remarks on the SLLN for linear random fields. Statistics and Probability Letters. 2010;80(5-6):489-496. https://doi.org/10.1016/j.spl.2009.11.026

Author

Banys, Povilas ; Davydov, Youri ; Paulauskas, Vygantas. / Remarks on the SLLN for linear random fields. In: Statistics and Probability Letters. 2010 ; Vol. 80, No. 5-6. pp. 489-496.

BibTeX

@article{a1e1862af1494a92a26ba3f6961f3c61,

title = "Remarks on the SLLN for linear random fields",

abstract = "We consider random linear fields on Zd generated by ergodic or mixing (in particular case, independent identically distributed (i.i.d.)) random variables. Our main results generalize the classical Strong Law of Large Numbers (SLLN) for multi-indexed sums of i.i.d. random variables. These results are easily obtained using ergodic theory. Also we compare the results for SLLN obtained using ergodic theory and with the help of the Beveridge-Nelson decomposition.",

author = "Povilas Banys and Youri Davydov and Vygantas Paulauskas",

year = "2010",

doi = "10.1016/j.spl.2009.11.026",

language = "English",

volume = "80",

pages = "489--496",

journal = "Statistics and Probability Letters",

issn = "0167-7152",

publisher = "Elsevier",

number = "5-6",

}

RIS

TY - JOUR

T1 - Remarks on the SLLN for linear random fields

AU - Banys, Povilas

AU - Davydov, Youri

AU - Paulauskas, Vygantas

PY - 2010

Y1 - 2010

N2 - We consider random linear fields on Zd generated by ergodic or mixing (in particular case, independent identically distributed (i.i.d.)) random variables. Our main results generalize the classical Strong Law of Large Numbers (SLLN) for multi-indexed sums of i.i.d. random variables. These results are easily obtained using ergodic theory. Also we compare the results for SLLN obtained using ergodic theory and with the help of the Beveridge-Nelson decomposition.

AB - We consider random linear fields on Zd generated by ergodic or mixing (in particular case, independent identically distributed (i.i.d.)) random variables. Our main results generalize the classical Strong Law of Large Numbers (SLLN) for multi-indexed sums of i.i.d. random variables. These results are easily obtained using ergodic theory. Also we compare the results for SLLN obtained using ergodic theory and with the help of the Beveridge-Nelson decomposition.

UR - http://www.scopus.com/inward/record.url?scp=74849121358&partnerID=8YFLogxK

U2 - 10.1016/j.spl.2009.11.026

DO - 10.1016/j.spl.2009.11.026

M3 - Article

AN - SCOPUS:74849121358

VL - 80

SP - 489

EP - 496

JO - Statistics and Probability Letters

JF - Statistics and Probability Letters

SN - 0167-7152

IS - 5-6

ER -

ID: 73460736