The multistate life table with duration-dependence.
"A method for generalizing the multistate, or increment-decrement, life table to include rates which depend upon duration of exposure to risk, as well as upon age, is proposed.  The method is built upon the linear approximation, called the linear integration hypothesis, developed mainly by Rogers and his colleagues.... It is possible to derive several new summary indices of the life-table cohort's history, such as the mean and median time in current status, at any age.  The method is illustrated using a simple four-state marital-status model which has appeared often in the literature; here, rates of divorce and widowhood vary by duration of marriage as well as age."  An example is demonstrated using 1984 period data for women in Finland aged 15-50. (SUMMARY IN FRE)
Wolf
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D000367:Age Factors; D015331:Cohort Studies; D003710:Demography; D019049:Developed Countries; D004243:Divorce; D005060:Europe; D005069:Evaluation Studies as Topic; D005387:Finland; D015993:Life Tables; D016014:Linear Models; D017533:Marital Status; D008390:Markov Chains; D008393:Marriage; D008722:Methods; D008962:Models, Theoretical; D015999:Multivariate Analysis; D011153:Population; D011154:Population Characteristics; D011157:Population Dynamics; D011336:Probability; D012044:Regression Analysis; D012106:Research; D012537:Scandinavian and Nordic Countries; D013223:Statistics as Topic; D013997:Time Factors; D017805:Widowhood
Age Factors; Cohort Analysis; Data Analysis; Demographic Analysis; Demographic Factors; Developed Countries; Divorce; Europe; Evaluation; Finland; Life Table Method; Life Tables; Linear Regression; Marital Status; Markov Chain; Marriage; Marriage Duration; Methodological Studies; Models, Theoretical; Multivariate Analysis; Northern Europe; Nuptiality; Population; Population Characteristics; Population Dynamics; Probability; Research Methodology; Scandinavia; Statistical Regression; Statistical Studies; Studies; Time Factors; Widowed