17 research outputs found

    Flexible transition timing in discrete-time multistate life tables using Markov chains with rewards

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    Discrete-time multistate life tables are attractive because they are easier to understand and apply in comparison to their continuous-time counterparts. While such models are based on a discrete time grid, it is often useful to calculate derived magnitudes, like state occupation times, under assumptions that posit that transitions take place at other times, such as mid-period. Unfortunately, currently available models allow only a very limited set of choices about transition timing. We propose to utilize Markov chains with rewards as an intuitive and general way of modelling the timing of transitions. Combining existing discrete-time models with the rewards methodology results in an estimation strategy that features easy parameter estimation, flexible transition timing, and little theoretical overhead. We illustrate the usefulness of rewards- based multistate life tables with SHARE data for the estimation of working life expectancy using different retirement transition timings. We also demonstrate that, for the single-state case, the rewards-based multistate life tables match traditional life table methods exactly. We provide code to replicate all results of the paper, as well as R and Stata packages for general use of the method proposed

    Fertility of migrants: a comparative study between Italy and Russia

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    This paper contributes to the analysis of fertility differentials between migrants and the native-born by examining the transition to first child using event history analysis. The data examined are the first-wave Italian Families and Social Subjects Survey conducted in 2003 and the first-wave Russian Gender and Generations Survey conducted in 2004. The objective of the study is twofold: First we seek to determine whether differences exist in the decision and timing of childbearing between native and foreign-born women in Italy and in Russia. Second we aim to compare the experiences of immigrants in the two countries, to determine whether there may be any commonalities inherent to the immigrant populations, despite moving into widely different contexts. Our results show many similarities in the risk profiles of our two immigrant groups which is more suggestive of immigrants being a distinct group rather than assimilating or conforming to the native fertility patterns. Second, our results do not seem to confirm the presence of either disruption or family formation being key events associated with migration.Italy, Russian Federation, fertility, immigrants

    Perturbation analysis of indices of lifespan variability

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    A number of indices have been used in recent years to calculate lifespan variation, each with different underlying properties. Although these indices are assumed to be interchangeable, little research has been conducted to show under which conditions this assumption is appropriate, or how to compare their responses to the underlying mortality schedule. We compare seven indices of lifespan variation: life disparity, the Gini coefficient, the standard deviation, the variance, Theil's index, the mean logarithmic deviation, and the inter-quartile range. We derive the sensitivity and elasticity of each index by applying Markov chain theory and matrix calculus. Using empirical French and Russian male data we compare the underlying sensitivities to mortality change under different mortality regimes in order to test under which conditions the indices might differ in their conclusions about the magnitude of lifespan variation. Finally we demonstrate how integrating these sensitivities can be used as a method of age decomposition. The result is an easily computable method for calculating the properties of this important class of longevity indices.inequality, mathematical demography, mortality measurement

    Correction to: Perturbation Analysis of Indices of Lifespan Variability

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