A General Algorithm for Estimating a Markov-Generated Increment-Decrement Life Table with Applications to Marital-Status Patterns
- 1 December 1979
- journal article
- research article
- Published by JSTOR in Journal of the American Statistical Association
- Vol. 74 (368) , 761
- https://doi.org/10.2307/2286398
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.Keywords
This publication has 0 references indexed in Scilit: