| Ney,P.(1966): The convergence of a random distribution associated with branching process, Journal of Mathematical Analysis and Applications, 12, 316-327. |
....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 (n) j(a( ....
Ney,P.(1966): The convergence of a random distribution associated with branching process, Journal of Mathematical Analysis and Applications, 12, 316-327.
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