This note provides some earlier history of the relationship given in FormalRelationships1, "Life left equals life lived in stationary populations," (Goldstein2009) and shows that while the expectation of life at the mean age of the population is close to the mean age, this is not exactly so.

The single most used demographic measure to describe population health is life expectancy at birth, but life expectancies at ages other than zero are also used in the study of human longevity. Our intuition tells us that the longest life expectancy is that of a newborn. However, historically,...

We give simple upper and lower bounds on life expectancy. In a life-table population, if e(0) is the life expectancy at birth, M is the median length of life, and e(M) is the expected remaining life at age M, then (M+e(M))/2≤e(0)≤M+e(M)/2. In general, for any age x, if e(x) is the expected...

Preston, Glei, and Wilmoth (2010) recently proposed an innovative regression-based method to estimate smoking-attributable mortality in developed countries based on observed lung cancer death rates. Their estimates for females, however, differ appreciably from some published estimates. This...

Achieving old ages is also connected with prevalence of illness and long-term care. With the introduction of the statutory long-term care insurance in 1996 and the long-term care statistics in 1999 research data of about 2.3 million people receiving long-term care benefits is available. Average...

Die Untersuchung der Sterblichkeit der sozialversicherungspflichtigen Beschäftigten des Jahres 2004 deckt die Gründe für die Unterschiede der Lebenserwartung bei Männern im Ost-West-Vergleich auf. Es wird gezeigt, dass die bestehenden strukturellen Unterschiede des Arbeitsmarktes in Ost- und...