Strong laws of large numbers for double sequences of random elements
Rastislav Potocký, Marta Urbaníková (1999)
Mathematica Slovaca
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Strong laws of large numbers for double sequences of random elements
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In this paper we are concerned with the norm almost sure convergence of series of random vectors taking values in some linear metric spaces and strong laws of large numbers for sequences of such random vectors. Section 2 treats the Banach space case where the results depend upon the geometry of the unit cell. Section 3 deals with spaces equipped with a non-necessarily homogeneous -norm and in Section 4 we restrict our attention to sequences of identically distributed random vectors. ...
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