A Strong Limit Theorem on Random Selection |
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| Authors: | Yimin Shi Yong Xu Huiguang Kang |
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| Affiliation: | (1) Department of Mathematics, Northwestern Polytecnical University Xi!["rsquo"]("/content/q7q6442016m27430/xlarge8217.gif") an, 710072, China |
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| Abstract: | In this paper, the idea of random selection in the theorem on gambling system is extended to Markov chains, by using the notion likelihood ratio and an analytic technique. A strong limit theorem on the relative frequency of ordered couple under random selection is established.AMS Subject Classification (2001)primary 60F15 Secondary 60J10 |
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| Keywords: | Strong limit theorem Markov chains Random selection Likelihood ratio N-valued random variables |
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