Mathematics – Probability
Scientific paper
2002-12-24
Monatsh. Math. 142 (2004) 351-361
Mathematics
Probability
15 pages, revised version and Theorem 5 is modified
Scientific paper
$T$-semi-selfdecomposability and subclasses $L_m(b, Q)$ and $\tilde L_m(b, Q)$ of measures on complete separable metric vector spaces are introduced and basic properties are proved. In particular, we show that $\mu$ is $T$-semi-selfdecomposable if and only if $\mu = T(\mu) \nu$ where $\nu$ is infinitely divisible and $\mu$ is operator selfdecomposable if and only if $\mu \in L_0(b, Q)$ for all $0< b < 1$.
Raja C. R. E.
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