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On the distribution of attributes in organizations

Published online by Cambridge University Press:  14 July 2016

Horand Störmer
Horand Störmer*
Affiliation:
University Mannheim
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Abstract

The paper deals with a stochastic organization model described by a generalized Poisson input process and given probabilities of entering individuals obtaining certain attributes in this organization. The distribution of attributes at any given instant is derived. Examples illustrate the application of obtained results.

Keywords

MARKOV PROCESSESPOPULATION PROCESSESMIGRATION PROCESSESGENERALIZED POISSON INPUTPOISSON DISTRIBUTIONHIERARCHICAL POPULATIONSSENIORITY DISTRIBUTIONAGE DISTRIBUTIONPREDICTING DISTRIBUTIONSHOSPITAL PLANNING
Type
Research Papers
Information
Journal of Applied Probability , Volume 11 , Issue 3 , September 1974 , pp. 529 - 543
Copyright
Copyright © Applied Probability Trust 1974 

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References

Bartlett, M. S. (1949) Some evolutionary stochastic processes. J. R. Statist. Soc. B 11, 211–229.Google Scholar
Bartholomew, D. J. (1967) Stochastic Models for Social Processes. J. Wiley, London.Google Scholar
Bartholomew, D. J. (1959) Note on the measurement and prediction of labour turn over. J. R. Statist. Soc. A 122, 232–239.Google Scholar
Bithell, J. F. (1971) Some generalized Markov chain occupancy processes and their application to hospital admission systems. Rev. Int. Statist. Inst. 39, 170–183.CrossRefGoogle Scholar
Cox, D. R. (1962) Renewal Theory. Methuen, London.Google Scholar
Gani, J. (1963) Formulae for projecting enrolments and degrees awarded in universities. J. R. Statist. Soc. A 126, 400–409.Google Scholar
Kingman, J. F. C. (1969) Markov population processes. J. Appl. Prob. 6, 1–18.CrossRefGoogle Scholar
Pollard, J. H. (1967) Hierarchical population models with Poisson recruitment. J. Appl. Prob. 4, 209–213.Google Scholar
Silcock, H. (1954) The phenomenon of labour turnover. J. R. Statist. Soc. A 117, 429–440.Google Scholar
Staff, P. J. and Vagholkar, M. K. (1971) Stationary distributions of open Markov processes in discrete time with application to hospital planning. J. Appl. Prob. 8, 668–680.Google Scholar
Young, A. and Almond, G. (1961) Predicting distributions of staff. Comp. J. 3, 246–250.Google Scholar