| Asmussen,S. and Kaplan,N.(1976): Branching Random walks II, Stochastic processes and Applications, 4, No. 1, 15-31. |
....convergence of W n ( to W ( for in some compact set. Biggins and Kyprianou [31] consider the Senata constants for BRW. The particular case of BRW, namely the mixed sample case, a point process with i.i.d. components) has been studied by Athreya (see [13] Asmussen and Kaplan (see [5] [6]) and Ney ( 52] In the mixed sample case, if one were to denote by a( E(e Z 1;1 ) then one can see that W n ( reduces to W n ( 1 m n (a( n jZ (n) j X r=1 e zr;n : Recently, Joffe [45] noticed that if one replaces m n by Z n in the above, viz. if V n ( 1 jZ ....
Asmussen,S. and Kaplan,N.(1976): Branching Random walks II, Stochastic processes and Applications, 4, No. 1, 15-31.
....uniform convergence of W n ( to W ( for in some compact set. Biggins and Kyprianou [31] consider the Senata constants for BRW. The particular case of BRW, namely the mixed sample case, a point process with i.i.d. components) has been studied by Athreya (see [13] Asmussen and Kaplan (see [5], 6] and Ney ( 52] In the mixed sample case, if one were to denote by a( E(e Z 1;1 ) then one can see that W n ( reduces to W n ( 1 m n (a( n jZ (n) j X r=1 e zr;n : Recently, Joffe [45] noticed that if one replaces m n by Z n in the above, viz. if V n ( 1 ....
Asmussen,S. and Kaplan,N.(1976): Branching Random walks I, Stochastic processes and Applications, 4, No. 1, 1-13.
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