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FROM DISCRETE TO CONTINUOUS‐TIME TRANSITION MATRICES IN INTRA‐DISTRIBUTION DYNAMICS ANALYSIS: AN APPLICATION TO PER CAPITA WEALTH IN EUROPE
Authors:María Hierro  Adolfo Maza
Affiliation:Department of Economics, University of Cantabria, Santander, Spain
Abstract:Previous studies focusing on the intra‐distribution dynamics analysis have usually computed, in a Markov chain framework, discrete‐time transition matrices. Such an approach, however, can involve some limitations, especially when using stock variables. In order to illustrate the importance of the time‐scale issue when estimating transition matrices, this paper applies both discrete and continuous‐time approaches to a set of cross‐national European data on per capita wealth for the period 2000–10. The results reveal, on the one hand, that the continuous‐time estimation provides a most accurate estimation of transition probabilities and, on the other, that the differences between both approaches are especially remarkable in the long‐term equilibrium distribution.
Keywords:continuous‐time estimation  ergodic distribution  intra‐distribution dynamics  transition intensities  transition probabilities  C13  C21  D31
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