A probability distribution of deaths at age x when policies are counted instead of lives

摘要: It is usual to assume that the probability distribution of deaths at age x given by or where qx death between exact ages and (x + 1), E number lives exposed risk in year age, y random variable expressing occurring. But it has long been known (see e. g. Hardy, 1882) these distributions are inapplicable when ‘policies’ counted instead ‘lives’, thus some importance seek policies falling (called policy-claims, for short, hereafter) any x, on assumption corresponding “duplicates” (i. unique, duplicate, triplicate, quadruplicate, etc. policies) known.