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On almost sure convergence of an erosion process due to Todorovic and Gani

Published online by Cambridge University Press:  14 July 2016

Prem S. Puri
Prem S. Puri*
Affiliation:
Purdue University
*
∗Postal address: Department of Statistics, Purdue University, West Lafayette, IN 47907, USA.
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Abstract

The questions of almost sure convergence of the sequence Xn defined below in (1) as well as that of to a finite limit are settled here. These sequences arise in a simple stochastic model for crop erosion considered by Todorovic and Gani (1987).

Keywords

STOCHASTIC MODEL FOR CROP EROSIONKOLMOGOROV'S ZERO-ONE LAW
Type
Short Communications
Information
Journal of Applied Probability , Volume 24 , Issue 4 , December 1987 , pp. 1001 - 1005
Copyright
Copyright © Applied Probability Trust 1987 

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Footnotes

Research supported in part by U.S. National Science Foundation Grant No. DMS-8504319.

References

[1] Laha, R. G. and Rohatgi, V. K. (1979) Probability Theory . Wiley, New York.Google Scholar
[2] Todorovic, P. and Gani, J. (1987) Modelling the effect of erosion on crop production. J. Appl. Prob. 24, 787–797.Google Scholar