Convergence of semitypes
Convergence of semitypes
复制标题
半类型的收敛
DOI：
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发表时间：
1998
期刊：
影响因子：
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通讯作者：
H. Scheffler
中科院分区：
文献类型：
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作者：
M. Meerschaert;H. Scheffler
类型收敛是随机变量和极限理论中的一个基本工具。本文提出了半型收敛的新概念，这是对半稳定吸引域问题的适当推广。我们还证明了在a - 1 n μn * δ(sn)⇒ν中采样序列{kn}的增长率是由μ唯一决定的。AMS 1990学科分类：60F05。
Convergence of types is a basic tool in limit theory for sums of random variables. In this paper we present the new concept of convergence of semitypes, which is the appropriate generalization for problems concerning domains of semistable attraction. We also show that the growth rate of the sampling sequence {kn} in a−1 n μn ∗ δ(sn)⇒ ν for a semistable but not stable limit law ν is uniquely determined by μ. AMS 1990 subject classification: 60F05.