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A new mobility index for transition matrices

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  • C. Ferretti
  • P. Ganugi

Abstract

In this work we construct a mobility index able to grasp the prevailing direction in the evolution of a given set of statistical units. We consider the case of dynamics ruled by a transition matrix, whose states are based on an ordered economic variable (firm size or income, among others) such that the future position of an individual can be better or worse than the current one. The existing indices measure only the absolute value of mobility, without providing information about the main direction in the dynamics. We propose here a whole family of directional indices defined as functions of the transition matrix, so that their absolute value measures the intensity of mobility, and their sign ( $$+/-$$ + / − ) represents the prevailing direction towards improvement/worsening in the dynamics under study. Copyright Springer-Verlag Berlin Heidelberg 2013

Suggested Citation

  • C. Ferretti & P. Ganugi, 2013. "A new mobility index for transition matrices," Statistical Methods & Applications, Springer;Società Italiana di Statistica, vol. 22(3), pages 403-425, August.
    • Handle: RePEc:spr:stmapp:v:22:y:2013:i:3:p:403-425
    DOI: 10.1007/s10260-013-0232-9
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    1. Boeri, Tito & Cramer, Ulrich, 1992. "Employment growth, incumbents and entrants : Evidence from Germany," International Journal of Industrial Organization, Elsevier, vol. 10(4), pages 545-565, December.
    2. François Bourguignon & Christian Morrisson, 2002. "Inequality Among World Citizens: 1820-1992," American Economic Review, American Economic Association, vol. 92(4), pages 727-744, September.
    3. repec:ebl:ecbull:v:4:y:2006:i:22:p:1-12 is not listed on IDEAS
    4. Jorge Alcalde-Unzu & Roberto Ezcurra & Pedro Pascual, 2006. "Mobility as movement: A measuring proposal based on transition matrices," Economics Bulletin, AccessEcon, vol. 4(22), pages 1-12.
    5. Atkinson, Anthony B., 1970. "On the measurement of inequality," Journal of Economic Theory, Elsevier, vol. 2(3), pages 244-263, September.
    6. Shorrocks, A F, 1978. "The Measurement of Mobility," Econometrica, Econometric Society, vol. 46(5), pages 1013-1024, September.
    7. Fougere, D. & Kamionka, T., 1992. "Bayesian Inference for the Mover-Stayer Model in Continuous-Time," Papers 92.285, Toulouse - GREMAQ.
    8. Dardanoni Valentino, 1993. "Measuring Social Mobility," Journal of Economic Theory, Elsevier, vol. 61(2), pages 372-394, December.
    9. Fields, Gary S. & Ok, Efe A., 1996. "The Meaning and Measurement of Income Mobility," Journal of Economic Theory, Elsevier, vol. 71(2), pages 349-377, November.
    10. Simon C. Parker & Jonathan Rougier, 2001. "Measuring Social Mobility as Unpredictability," Economica, London School of Economics and Political Science, vol. 68(269), pages 63-76, February.
    11. Shorrocks, A F, 1976. "Income Mobility and the Markov Assumption," Economic Journal, Royal Economic Society, vol. 86(343), pages 566-578, September.
    12. Geweke, John & Marshall, Robert C & Zarkin, Gary A, 1986. "Mobility Indices in Continuous Time Markov Chains," Econometrica, Econometric Society, vol. 54(6), pages 1407-1423, November.
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    Cited by:

    1. Elena Bárcena & Olga Cantó, 2018. "A simple subgroup decomposable measure of downward (and upward) income mobility," Working Papers 472, ECINEQ, Society for the Study of Economic Inequality.
    2. Camilla Ferretti & Giampaolo Gabbi & Piero Ganugi & Pietro Vozzella, 2016. "Rating Trajectories and Credit Risk Migration: Evidence for SMEs," DISCE - Quaderni del Dipartimento di Scienze Economiche e Sociali dises1615, Università Cattolica del Sacro Cuore, Dipartimenti e Istituti di Scienze Economiche (DISCE).
    3. Camilla Ferretti & Giampaolo Gabbi & Piero Ganugi & Federica Sist & Pietro Vozzella, 2019. "Credit Risk Migration and Economic Cycles," Risks, MDPI, vol. 7(4), pages 1-18, October.
    4. Chattopadhyay, Nachiketa & Sengupta, Debasis, 2020. "Individual, Structural and Exchange Mobility: Decomposition and Axiom based measures," SocArXiv 8m46u, Center for Open Science.
    5. Ferretti Camilla, 2021. "Measurement of enterprise mobility among size classes, taking into account business demography," Statistics in Transition New Series, Statistics Poland, vol. 22(1), pages 55-73, March.
    6. Francesca Giambona & Laura Grassini & Daniele Vignoli, 2022. "Detecting economic insecurity in Italy: a latent transition modelling approach," Statistical Methods & Applications, Springer;Società Italiana di Statistica, vol. 31(4), pages 815-846, October.
    7. Camilla Ferretti, 2021. "Measurement of enterprise mobility among size classes, taking into account business demography," Statistics in Transition New Series, Polish Statistical Association, vol. 22(1), pages 55-73, March.

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