A general algorithm for estimating a Markov-generated increment-decrement life table with applications to marital-status patterns.

Journal of the American Statistical Association (Impact Factor: 2.11). 02/1979; 74(368):761-76. DOI: 10.1080/01621459.1979.10481029
Source: PubMed

ABSTRACT Extant methods of estimating increment-decrement life tables (IDLT's) are based on the assumption that the forces of transition from state to state are constant within each interval of time (age) examined. A general algorithm for estimating the functions of a (k + 1)-state Markovian IDLT is set forth herein, which treats the constant-forces assumption as a special case. Three different kinds of probabilities, called p π, and χ probabilities, are identified, and their properties are discussed. Particular attention is focused on the three-state case in which the survival functions are assumed to be linear within each age interval, and such a model is applied to the analysis of marital dissolution and remarriage using data for females in Sweden, cohort born 1930–34.

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