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Correlation problems in evolutionary stochastic processess

Published online by Cambridge University Press:  24 October 2008

Alladi Ramakrishnan  and
T. K. Radha
Alladi Ramakrishnan
Affiliation:
Department of Theoretical PhysicsUniversity of Madras, India
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Abstract

In a previous contribution to these Proceedings (Ramakrishnan(1)) the concept of product density was introduced to describe the statistical distribution of a discrete number of particles in a continuous space E, corresponding to a single point t, where t is the parameter with respect to which the stochastic process evolves. This is extended to densities corresponding to n points on the t axis and correlation problems associated with these density functions are studied with particular reference to electron-photon cascades.

Information

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 57 , Issue 4 , October 1961 , pp. 843 - 847
Copyright
Copyright © Cambridge Philosophical Society 1961

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References

REFERENCES

(1)Ramakrishnan, A., Stochastic processes relating to particles distributed in a continuous infinity of states. Proc. Cambridge Philos. Soc. 46 (1960), 595–602.CrossRefGoogle Scholar
(2)Bartlett, M. S., Some evolutionary stochastic processes. J. Roy. Statist. Soc. Ser. B, 11 (1949), 211–29.Google Scholar
(3)Bartlett, M. S., Introduction to stochastic processes (Cambridge, 1955).Google Scholar
(4)Bharucha-Reid, A. T., Elements of the theory of Markov processes and their applications (McGraw-Hill: New York, 1960).Google Scholar