In Markov chain studies of occupational mobility, an interesting empirical pattern
has been reported. Certain transrtion matrix eigenvectors provide surprisingly
accurate proxies for occupational status. Through a number of formal illustra
tions, this paper suggests why the pattern might in theory be expected, in the
occupational mobility context and in other mobility contexts.
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References
1.
Barnett, S. and C. Storey (1970) Matrix Methods in Stability TheoryNew York: Barnes and Noble.
2.
Blau, P.M. and O.D. Duncan ( 1967) The American Occupational StructureNew York: John Wiley.
3.
Conlisk, J. (1976) "Interactive Markov chains."J. of Mathematical Sociology4: 157-186
4.
. Crow, J.F. and M. Kimura (1970) An Introduction to Population Genetics TheoryNew York: Harper and Row.
5.
Duncan-Jones, P. (1972) "Social mobility, canonical scoring, and occupational classification," pp. 191-210 in J. Goldthorpe and K. Hope (eds.) The Analysis of Social Mobility.Oxford: Clarendon.
6.
Graybill, F.A. (1969) Introduction to Matrices with Applications in StatisticsBelmont, CA: Wadsworth.
7.
Kendall, M.G., and A. Stuart (1973) The Advanced Theory of Statistics, Vol. 2. New York: Hafner .
8.
Klatsky, S.R., and R.W. Hodge (1971) "A canonical correlation analysis of occupational mobility."J. of the Amer. Statistical Assn.66: 16-22
9.
. Lancaster, H.O. (1957) "Some properties of the bivariate normal distribution considered in the form of a contingency table."Biometrika44: 289-292
10.
. Lancaster, P. (1969) Theory of MatricesNew York : Academic Press.
11.
Smallwood, D.E. and J. Conlisk (1979) "Product quality in markets where consumers are imperfectly informed."Q. J. of Economics93: 1-23
12.
. Sommers, P. and J. Conlisk (1977) "Eigenvalue immobility measures for Markov chains." Department of Economics Discussion Paper. La Jolla, CA : University of California at San Diego.
13.
U.S. Bureau of the Census (1964) "Lifetime occupational mobility of adult males: March 1962." Current Population Reports, Series P-23, No. 11, Washington, DC: Government Printing Office.
