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Stochastic theory of compartments

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Abstract

The stochastic model of a compartment developed by Thakur, Rescigno and Schafer is discussed without using generating functions. The behavior of the mean and variance of the number of particles present as a function of time is also discussed. We also allow both the input and output to be time dependent.

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Literature

  • Bailey, N. T. J. 1964.The Elements of Stochastic Processes with Applications to the Natural Sciences, New York: John Wiley.

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  • Parzen, E. 1962.Stochastic Processes. San Francisco: Holden-Day.

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  • Thakur, A. K., A. Rescigno and D. E. Schafer. 1972. “On the Stochastic Theory of Compartments: I. A Single Compartment System.”Bull. Math. Biophysics,34, 53–65.

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Authors and Affiliations

  1. Department of Statistics, University of Kentucky, Kentucky, USA

    Peter Purdue

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  1. Peter Purdue
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Purdue, P. Stochastic theory of compartments. Bltn Mathcal Biology 36, 305–309 (1974). https://doi.org/10.1007/BF02461330

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  • DOI: https://doi.org/10.1007/BF02461330

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