When Milne entered the field, life tables were based on the data taken by
Richard Price from the burial registers (1735–80) of
All Saints' Church, Northampton. Milne took as the basis of his calculations the
bills of mortality from
Carlisle, which had been prepared by
John Heysham. After a long correspondence (12 September 1812 – 14 June 1814) with Heysham, he published his major work
A Treatise on the Valuation of Annuities and Assurances (1815). Milne's new "Carlisle table" marked an epoch in
actuarial science. Considering the narrow base of data from which he had to work, it was quite accurate, and was widely adopted by insurance societies. The
Carlisle Table was largely superseded by that published by the
Institute of Actuaries in 1870. Subsequent writers built on Milne's work. He was the first to compute accurately, at the cost of heavy algebra, the value of fines (i.e. payments to be made at the successive deaths of persons). His notation for the expression of life contingencies suggested that of
Augustus De Morgan in his
Essay on Probabilities. ==References==