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PDF Availablehttps://doi.org/10.1016/j.spl.2008.03.028
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Cite Journal: Statistics & Probability Letters |  Publication Date: Mar 29, 2008 |
 Citations: 12 |  License type: other-oa |
New maximal inequalities for non-negative martingales are proved. The inequalities are tight and strengthen well-known maximal inequalities by Doob. The inequalities relate martingales to information divergence and imply convergence of X ln X bounded martingales. Similar results hold for stationary sequences.
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