Social applications of semi-Markov processes
Human populations can be divided into categories on the basis of such things as place of residence, social class or level in a management hierarchy. Individuals often move between categories in anunpredictable manner so that an individual history consists of a sequence of lengths of stay and a set of transitions between categories. There may also be losses from the system and gains to it. These elements correspond to those of a semi-Markov process which thus provides a possible model for such systems.
KeywordsMarkov Process Transition Rate Social Mobility Transition Matrice Markov Chain Model
Unable to display preview. Download preview PDF.
- Bartholomew, D.J. (1967). Stochastic Models for Social Processes, Wiley, Chichester.Google Scholar
- Blumen, I., M. Kogan and P.J. McCarthy (1955). The Industrial Mobility of Labour as a Probability Process, Cornell University Press, Ithaca, New YorkGoogle Scholar
- Congden, P. (1984). Explanatory Models for Social and Occupational Mobility and their Application to the 1973 Irish Mobility Study, Ph.D.thesis, University of London.Google Scholar
- Goodhardt, G.J., A.S.C. Ehrenberg and C. Chatfield (1984). “The Dirichlet: A Comprehensive Model of Buying Behaviour”. J.Roy. Statist.Soc, A 147, 621–655.Google Scholar
- Ginsberg, R.B. (1978a). “Probability models of residence histories: analysis of times between moves”, in W.A.V. Clark and E.G. Moore (Eds), Population Mobility and Residential Change, Northwestern studies in Geography, No 24. Evanston, Illinois.Google Scholar
- Ginsberg, R.B. (1978c). “Timing and duration effects in residential histories and other longitudinal data, II: studies of duration effects in Norway 1965–1971”. Fels Discussion Paper no 121. School of Public and Urban Policy, University of Pennsylvania.Google Scholar
- Ginsberg, R.B. (1979). Stochastic Models of Migration: Sweden 1961–1975, North-Holland, New York and Amsterdam.Google Scholar
- Lancaster, A. and S.J. Nickell (1980). “The analysis of re-employment probabilities for the unemployed”. J.Roy.Statist.Soc., A 143, 141–165.Google Scholar
- Prais, S.J. (1955). “Measuring social mobility”. J.Roy.Statist.Soc., A 118, 56–66.Google Scholar
- Singer, B. and S. Spilerman (1979). “Clustering on the main diagonal in mobility matrices”. In Sociological Methodology (1979), K. Schuessler, (Ed.) Jossey-Bass, San Francisco, 172–208.Google Scholar