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A Strong Limit Theorem on Random Selection

Southeast Asian Bulletin of Mathematics, 2002
The idea of random selection on gambling systems has been extended to Markov chains using the notion of likelihood ratio and an analytic technique. A strong limit theorem on the relative frequency of ordered couple under random selection has been established.
Shi, Yimin, Xu, Yong, Kang, Huiguang
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One-Sided Versions of Strong Limit Theorems

Theory of Probability & Its Applications, 1984
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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On strong versions of the central limit theorem

Statistics & Probability Letters, 2003
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Rychlik, Zdzisław, Szuster, Konrad S.
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Uniform Integrability for Strong Ratio Limit Theorems. I

Theory of Probability & Its Applications, 2006
Unlike parts I and II of this paper [Theory Probab. Appl., 50 (2006), pp. 436--447] and [Theory Probab. Appl., 55 (2011), pp. 473--484], which dealt with strong limit theorems for ratios (SLTR) in the traditional sense, now we propose new SLTR with particular parametric sets. The peculiarity of these theorems is that their statements ignore some values
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