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Summary In the present paper the author proves that the lognormal distribution is infinitely divisible. This is achieved by showing that the lognormal is the weak limit of a sequence of probability distributions all of which are generalized Γ-convolutions and thus infinitely divisible. It is also proved that the lognormal itself is a generalized Γ-convolution.
Olof Thorin (Tue,) studied this question.
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