Strong and Exponential Ergodicity

Strong and Exponential Ergodicity
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强且指数的遍历性

DOI:
10.1007/978-1-4612-3038-0_6
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发表时间:
1991
影响因子:
4.5
通讯作者:
W. J. Anderson
W. J. Anderson
中科院分区:
数学1区
文献类型:
--
作者:
W. J. Anderson

文献摘要

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本章的问题是:假设转移函数P ij(t)是遍历的(即,不可约和递归的正),我们期望P ij(t)收敛到遍历极限π j的速度有多快?我们将研究两种特殊类型的遍历性,即所谓的强遍历性和指数遍历性。当然,我们的主要兴趣始终是用q矩阵来刻画这些性质。
The question in this chapter is: Given that the transition function P ij (t) is ergodic (i.e., irreducible and recurrent positive),just how fast can we expect convergence of P ij (t) to the ergodic limits π j ? We shall study two special types of ergodicity, the so-called strong ergodicity and exponential ergodicity. Of course, our main interest is always to characterize these properties in terms of the q matrix.