Multidimensional right-shift processes
- 1 January 1971
- journal article
- Published by Cambridge University Press (CUP) in Advances in Applied Probability
- Vol. 3 (02) , 200-201
- https://doi.org/10.1017/s0001867800037782
Abstract
Let v be a positive integer and for each k = 1, · · ·, v let m k and N k be a positive and a non-negative integer, respectively. Denote by S'N k ,m k the set of (m k + 1) -tuples r k = (r k ,m k , · · ·, r k,1, r k,0) having non-negative components summing to N k , and by X k (t) = (X k,m k (t), · · ·, X k,1(t), X k ,0(t)) an (m k + 1)-tuple random variable taking on values only from the set S′ N k ,m k .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