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Measuring Directional Mobility: The Bartholomew and Prais-Bibby Indices Reconsidered

Satya Chakravarty, 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

Abstract: 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)
New Economics Papers: this item is included in nep-ltv
Date: 2017-12
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http://repec.tulane.edu/RePEc/pdf/tul1720.pdf First Version, December 2017 (application/pdf)

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