Measuring Directional Mobility: The Bartholomew and Prais-Bibby Indices Reconsidered
Nachiketa Chattopadhyay (),
Nora Lustig () and
Rodrigo Aranda Balcazar ()
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Nachiketa Chattopadhyay: Statistics and Mathematics Division, Indian Statistical Institute
No 1720, Working Papers from Tulane University, Department of Economics
This paper tries to interpret the Bartholomew (1967) index of social mobility in terms of a directional mobility index based on the one-step expected states of movement corresponding to a transition matrix. A partial ordering of monotone transition matrices is proposed using the generalized Lorenz ordering of expected states which can be related to social improvement in terms of the socio-economic attribute under consideration. We also interpret the Prais(1955)-Bibby (1975) mobility index using a Bayesian approach, where the underlying mobility depends on the initial distribution of the states.
Keywords: social mobility; intergenerational mobility; monotonicity; Bayesian analysis (search for similar items in EconPapers)
JEL-codes: C11 D31 D63 J62 (search for similar items in EconPapers)
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Persistent link: https://EconPapers.repec.org/RePEc:tul:wpaper:1720
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