Sampling properties of the directional mobility index and the income of Italian families

Authors

  • Camilla Ferretti Università Cattolica del Sacro Cuore, Piacenza

DOI:

https://doi.org/10.6092/issn.1973-2201/5210

Keywords:

Directional mobility index, income transition matrix, sampling distribution

Abstract

We propose statistical inference techniques for testing the directional income mobility. We measure the directional index on income transition matrices about Italian families from 2004 to 2012, and we derive its asymptotic distribution to rigorously determine if mobility has changed. Starting from 2006, results show a prevailing negative mobility, that is the tendency of Italian families to move towards lower income classes. In particular, we observe negative peaks in the mobility values in the period 2010-2012, for middle/high income classes, indicating that Italian families are still suffering the 2008 downturn.

References

Anderson T.W. and Goodman L.A. (1957) Statistical Inference about Markov Chains. Ann Math Statist 28(1): 89-110

Banca d’Italia (2008) I bilanci delle famiglie italiane nel 2006, in: Supplementi al bollettino statistico http://www.bancaditalia.i/statistiche/

Banca d’Italia (2010) I bilanci delle famiglie italiane nel 2008, in: Supplementi al bollettino statistico http://www.bancaditalia.i/statistiche/

Banca d’Italia (2012) I bilanci delle famiglie italiane nel 2010, in: Supplementi al bollettino statistico http://www.bancaditalia.it/statistiche/

Bartholomew D.J. (1982) Stochastic Models for Social Processes. 3nd ed. Wiley, London

Bourguignon F. and Morrison C. (2002) Inequality among World Citizens. Am Econ Rev 92(4):727-744

Cipollini F., Ferretti C. and Ganugi P. (2012) Firm size dynamics in an Industrial District: the Mover-Stayer model in action. In: Di Ciaccio A. et al. (eds) Advanced Statistical Methods for Large Datasets, pp 443-452

Ferretti C. (2012) Mobility as Prevailing Direction for Transition Matrices. Stat Appl 10(1):67-78

Ferretti C., Ganugi P. (2013) A new Mobility Index for Transition Matrices. Stat Meth and App 22(3): 403-425

Formby J. P., Smith, W. J. and Zheng, B. (2004) Mobility measurement, transition matrices and statistical inference. J of Econometrics 120:181-205

Fougere D. and Kamionka T. (2003) Bayesian inference for the Mover - Stayer model of continuous time. J Appl Econ 18:697-723

Geweke J., Robert C.M. and Gary A.Z. (1986) Mobility Indices in Continuous Time Markov Chains. Econometrica 54(6):1407-1423

Kendall M.G., Stuart A. (1977) The Advanced Theory of Statistics, vol I, Griffin, London

Prais S.J. (1955) Measuring social mobility, J Royal Stat Soc Series A, part I, 188:56-66

Schluter C. (1998) Statistical inference with mobility indices. Econ Lett 59:157-162

Shorrocks A.F. (1978) The measurement of Mobility. Econometrica 46(5):1013-1024

Sommers P. and Conlinsk J. (1979) Eigenvalue Immobility Measure for Markov Chains. J Math Soc 6:253-276

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Published

2014-12-30

How to Cite

Ferretti, C. (2014). Sampling properties of the directional mobility index and the income of Italian families. Statistica, 74(4), 455–466. https://doi.org/10.6092/issn.1973-2201/5210

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Articles