ON A MAXIMUM SEQUENCE IN A CRITICAL MULTITYPE BRANCHING-PROCESS
成果类型：
Article
署名作者：
ATHREYA, KB
刊物名称：
ANNALS OF PROBABILITY
ISSN/ISSBN：
0091-1798
DOI：
10.1214/aop/1176989803
发表日期：
1992
页码：
746-752
关键词：
摘要：
Let {Z(n)} be a p type positively regular nonsingular critical branching process with mean matrix M. If v is a right eigenvector of M for the eigenvalue 1 and Y(n) = Z(n) . v, and if M(n) = max0 less-than-or-equal-to j less-than-or-equal-to n Y(j), then it is shown that under second moments (log n)-1E(i)M(n) --> i . v, where E(i) denotes starting with Z0 = i and . denotes inner product. This is an extension of the result for the single type case obtained by Athreya in 1988.