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Mobility Indices in Continuous Time Markov Chains
John Geweke, Robert C. Marshall and Gary A. Zarkin
Vol. 54, No. 6 (Nov., 1986), pp. 1407-1423
Published by: The Econometric Society
Stable URL: http://www.jstor.org/stable/1914306
Page Count: 17
You can always find the topics here!Topics: Matrices, Eigenvalues, Markov chains, Parameterization, Mathematical monotonicity, Eigenvectors, Maximum likelihood estimation, Aggregation, Maximum likelihood estimators, Economic modeling
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The axiomatic derivation of mobility indices for first-order Markov chain models in discrete time is extended to continuous-time models. Many of the logical inconsistencies among axioms noted in the literature for the discrete time models do not arise for continuous time models. It is shown how mobility indices in continuous time Markov chains may be estimated from observations at two points in time. Specific attention is given to the case in which the states are fractiles, and an empirical example is presented.
Econometrica © 1986 The Econometric Society