非齐次隐马尔可夫模型随机变换的若干强极限定理 |
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引用本文: | 陈光曙,乔正明. 非齐次隐马尔可夫模型随机变换的若干强极限定理[J]. 数学的实践与认识, 2014, 0(8) |
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作者姓名: | 陈光曙 乔正明 |
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作者单位: | 常州纺织服装职业技术学院;常州纺织服装职业技术学院经济贸易系; |
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摘 要: | 利用鞅方法讨论了非齐次隐马尔可夫模型变换的强极限定理,作为特殊情形,将随机选择的概念拓展到非齐次隐马尔可夫模型中,得到了关于有限非齐次隐马尔可夫模型随机选择与随机公平比的若干极限定理.
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关 键 词: | 非齐次隐马尔可夫模型 鞅 随机变换 随机公平比 强极限 |
Some strong limit Theorems on the Random Transtorms of Hidden Nonhomogeneous Markov Models |
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Abstract: | In this paper,we study the Umit theorems on the transformation for hidden nonhomogeneous Markov models by means of martingale method.As a special case,the idea of random transformation of gambling system is expended to the hidden nonhomogenous models.As results,some strong limit theorems and random equitable ratios for their random selection are obtained. |
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Keywords: | Hidden nonhomogeneous Markov models martingale random transform random equitable ratios strong limit theorem |
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