Calculating life tables by estimating Chiang’s a from observed rates

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Abstract
A simple, accurate method of life table construction is advanced based upon a new way to estimate Chiang’s n a x (the average number of years lived in the x to x + n age interval by those dying in the interval). The estimate for n a x leads immediately to an expression for l x+n (the survivors to age x + n) in terms of l x and the known mortality rates for the interval x to x+n and the two adjacent intervals. The complete solution for the basic life table is given. The proposed method and five other easily applied methods are then compared against the standard provided by the U.S. life tables for 1969–1971. The results attest to the excellent performance and high degree of accuracy of the proposed method. Finally, extensions of the method to multiple decrement and associated single decrement life tables are briefly described.