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Maximum likelihood estimation for stochastic rth-order reactions. II

Published online by Cambridge University Press:  14 July 2016

John P. Mullooly
John P. Mullooly*
Affiliation:
Oregon State University
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Abstract

In this paper we consider maximum likelihood estimation of the rate constant for stochastic rth-order reactions based on observation of the level of the system at time t > 0. Conditions are found for which the waiting time until the nth. reaction event is asymptotically normal, as the initial number of molecules and the number of reaction events become large. This distributional result is used to derive an approximate estimator which is shown for the second-order case to be close to the exact maximum likelihood estimate over a wide range of percentage completion.

Keywords

STOCHASTIC KINETICSPARAMETER ESTIMATIONCENTRAL LIMIT PROPERTY
Type
Short Communications
Information
Journal of Applied Probability , Volume 10 , Issue 2 , June 1973 , pp. 441 - 446
Copyright
Copyright © Applied Probability Trust 1973 

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References

Fisz, M. (1963) Probability Theory and Mathematical Statistics. John Wiley, New York and London.Google Scholar
Mullooly, J. P. (1972) Maximum likelihood estimation for stochastic rth-order reactions. J. Appl. Prob. 9, 32–42.CrossRefGoogle Scholar