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Major Greenwood, G. Udny Yule, An Inquiry into the Nature of Frequency Distributions Representative of Multiple Happenings with Particular Reference to the Occurrence of Multiple Attacks of Disease or of Repeated Accidents, Journal of the Royal Statistical Society, Vol. 83, No. 2 (Mar., 1920), pp. 255-279
Greenwood et al. (Mon,) studied this question.