The size order of the state vector of discrete-time homogeneous Markov systems

被引：8

作者：

Kipouridis, I ^{[1
]}

Tsaklidis, G ^{[1
]}

机构：

[1] Aristotelian Univ Salonika, Dept Math, GR-54006 Salonika, Greece

来源：

JOURNAL OF APPLIED PROBABILITY | 2001年 / 38卷 / 02期

关键词：

stochastic population systems; homogeneous Markov systems; discrete time;

D O I：

10.1017/S0021900200019902

中图分类号：

O21 [概率论与数理统计]; C8 [统计学];

学科分类号：

020208 ; 070103 ; 0714 ;

摘要：

The size order problem of the probability state vector elements of a homogeneous Markov system is examined. The time ro is evaluated, after which the order of the state vector probabilities remains unchanged, and a formula to quickly find a lower bound for to is given. A formula for approximating the mode of the state sizes n(i) (t) as a function of the means En(i) (t), and a relation to evaluate P(n(i) (t) = x + 1) by means of certain terms which constitute P(n(i) (t) = x) are derived.

引用

页码：357 / 368

页数：12

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