Abstract
This paper amplifies Daley's (1981) criteria for absolute convergence of certain random series by providing a sufficient condition which also is necessary if the summands are independent. Conditions for unconditional and conditional convergence are also given. These results are used to obtain a substantially complete picture of the behaviour of random Dirichlet series of a fairly general type. Behaviour of the partial sums of divergent series is discussed, with particular attention to Dirichlet series.
Original language | English |
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Pages (from-to) | 29-40 |
Journal | Australian & New Zealand Journal of Statistics |
Volume | 46 |
Issue number | 1 |
DOIs | |
Publication status | Published - 2004 |