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"This paper describes a procedure for estimating intercensal age schedules of rates of occurrence of demographic events (birth, death, marriage) from tabulations at two points in time of a status of the population (average children ever born, persons surviving, proportion ever married) classified by age." The procedure is called iterative intracohort interpolation. The paper describes a more general version than that originally developed by Ansley J. Coale and provides a probabilistic interpretation of the age-specific rates estimated by the procedure.
Paul Stupp (Fri,) studied this question.