ITERATIONS OF RANDOM AND DETERMINISTIC FUNCTIONS

被引：0
|
作者：
ATHREYA, KB [1 ]
机构：
[1] IOWA STATE UNIV SCI & TECHNOL,DEPT MATH,AMES,IA 50010
来源：
PROCEEDINGS OF THE INDIAN ACADEMY OF SCIENCES-MATHEMATICAL SCIENCES | 1994年 / 104卷 / 01期
关键词：
RANDOM MAPS; GENERATING FUNCTIONS; ITERATION; STABLE PROCESSES; AUTO REGRESSIVE PROCESSES;
D O I：
10.1007/BF02830890
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Let f be a probability generating function on [0, 1]. The convergence of its iterates f(n) to fixed points is studied in this paper. Results include rates for f and f-1. Also iterates of independent identically distributed stable processes are studied and a trichotomy based on the order of the stability is established.
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页码：263 / 267
页数：5
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