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- W2373503456 abstract "Let{X_;X_∈N~d} be a field of independent identically distributed random variables, where d≥2 is a positive integer, N~d denotes the d-dimensional lattice of positive integers,1=(1,...,1)∈N~d. And let {a_();1≤≤,≥1} be an array of constants. A strong law is proved for weighted sums T_=≤a_( )X_. The Marcinkiewicz-Zygmund strong law is showed under certain moment conditions of both the weights and distribution. Also the case of the random fields and a finite moment generating function are considered and some other a.s. limiting laws are obtained. These include the results of Gut A.et al." @default.
- W2373503456 created "2016-06-24" @default.
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- W2373503456 date "2005-01-01" @default.
- W2373503456 modified "2023-09-24" @default.
- W2373503456 title "Marcinkiewicz strong laws for weighted sums of fields of i.i.d. random variables." @default.
- W2373503456 hasPublicationYear "2005" @default.
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