Multidimensional right-shift processes
- 1 January 1971
- journal article
- Published by Cambridge University Press (CUP) in Advances in Applied Probability
- Vol. 3 (2) , 200-201
- https://doi.org/10.2307/1426155
Abstract
Let v be a positive integer and for each k = 1, · · ·, v let mk and Nk be a positive and a non-negative integer, respectively. Denote by S'Nk,mk the set of (mk + 1) -tuples rk = (rk,mk, · · ·, rk,1, rk,0) having non-negative components summing to Nk, and by Xk(t) = (Xk,mk(t), · · ·, Xk,1(t), Xk,0(t)) an (mk + 1)-tuple random variable taking on values only from the set S′Nk,mk.Keywords
This publication has 2 references indexed in Scilit:
- RIGHT-SHIFT PROCESSESProceedings of the National Academy of Sciences, 1969
- A recursion theorem on solving differential-difference equations and applications to some stochastic processesJournal of Applied Probability, 1969