Abstract

When age-specific death rates are available for single year ages any of several formulas may be used to estimate the probability of dying in an age interval, 5qx. For 5-year age intervals, however, the simplest formulas are usually not as precise as some that are more complex. If in addition, the population is stable but nonstationary or is subject to fairly regular birth cycles, a formula due to Keyfitz and Frauenthal performs markedly better than others. Tests on real populations also support KeyfitzFrauenthal, and suggest that actual differences between other competing formulas may be small.

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References

Farr, W. (
1864
).
English Life Table
.
London
:
Longman
.
Gompertz, B. (
1825
).
On the Nature of the Function Expressive of the Law of Mortality
.
Philosophical Tranactions
,
27
,
513
585
. 10.1098/rstl.1825.0026
Greville, T. N. E. (
1943
).
Short Methods of Constructing Abridged Life Tables
.
Record of the American Institute of Actuaries
,
32
(
part I
),
29
42
.
Henry, L. (
1972
).
Demographie: Analyse et Modeles
.
Paris
:
Larousse
.
Keyfitz, N., & Flieger, W. (
1971
).
Population: Facts and Methods of Demography
.
San Francisco
:
W. H. Freeman
.
Keyfitz, N., & Frauenthal, J. (
1975
).
An Improved Life Table Method
.
Biometrics
,
31
,
889
899
. 10.2307/2529814
Milne, J. 1815. A Treatise on the Valuation of Annuities… London.
National Center for Health Statistics. 1974. Vital Statistics of the United States 1970. Vol. II, PI. A. Rockville, MD.
Preston, S. H., Keyfitz, N., & Schoen, R. (
1972
).
Causes of Death: Life Tables for National Populations
.
New York
:
Seminar Press
.
Reed, L. J., & Merrell, M. (
1939
).
A Short Method for Constructing an Abridged Life Table
.
American Journal of Hygiene
,
30
,
33
41
.
Demographic Yearbook 1979
. (
1980
).
New York
:
U.N. Statistical Office
.
Census of Population: 1970 General Population Characteristics. Final Report PC(I)-BI United States Summary
. (
1972
).
Washington, D.C.
:
U.S. Government Printing Office
.
Current Population Reports, Series P 25, No. 917, Preliminary Estimates of the Population of the United States 1970–1981
. (
1982
).
Washington, D.C.
:
U.S. Government Printing Office
.
Wolfenden, H. H. (
1954
).
Population Statistics and Their Compilation
.
Chicago
:
University of Chicago Press
.