# ON THE MARCINKIEWICZ ZYGMUND LAWS OF LARGE NUMBERS FOR NEGATIVELY DEPENDENT RANDOM FIELDS

• Ko, Mi-Hwa (Department of Mathematics, WonKwang University)
• Accepted : 2011.03.15
• Published : 2011.06.25
• 77 4

#### Abstract

In this paper we provide extensions of the Marcinkiewicz Zygmund laws of large numbers for i.i.d random variables with multidimensional indices to the case of negatively dependent random fields.

#### Keywords

Marcinkiewicz Zygmund laws of large numbers;Almost sure convergence;Random field;Negative quadrant dependence;Negative association

#### References

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