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On a Generalization of One Dimensional Random Walk with a Partially Reflecting Barrier

Published online by Cambridge University Press:  20 November 2018

B. R. Handa
B. R. Handa*
Affiliation:
Indian Institute of Technology, Hauz Khas, New Delhi, India
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Consider a one-dimensional random walk model where a particle starting at the origin at any instant either takes a jump through a unit distance to the right with probability p1, or stays at the same position with probability p0, or else takes a jump through either of 1, 2, … μ, units of distance to the left with probabilities p-1, p-2, …, p-μ respectively.

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 14 , Issue 3 , September 1971 , pp. 325 - 332
Copyright
Copyright © Canadian Mathematical Society 1971

References

1. Barton, D. E. and Mallows, C. L., Some aspects of the random sequence, Ann. Math. Statist. 36 (1965), 236-260.Google Scholar
2. Lehner, G., One dimensional random walk with a partially reflecting barrier, Ann. Math. Statist. 34 (1963), 405-412.Google Scholar
3. Mohanty, S. G., Some convolutions with multinomial coefficients and related probability distribution, SIAM Rev. 8 (1966), 501-509.Google Scholar
4. Mohanty, S. G. and Handa, B. R., On Lattice paths with several diagonal steps, Canad. Math. Bull. 11 (1968), 537-545.Google Scholar