Two new families of indices measuring the gain in life expectancy resulting from reduction in mortality are introduced: the first looks at the impact of cause of death reduction from the perspective of the entire population; the second, at that segment of the population due to die of the cause. Special cases include both well-established measures and extensions that incorporate the age distribution of the population. A further generalization is introduced with the consideration of life expectancies that only give weight to years of life up to age 70. A number of inequalities are derived that relate cause-deleted life expectancies to their cause-reduced counterparts.

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