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Abstract
A general tool to prove conditional strong laws of larger number is considered. It is shown that a conditional Kolmogorov type inequality implies a conditional Hajek–Renyi type inequality and this implies a strong law of large numbers. Both probability and moment inequalities are considered. Some applications are offered in the last section.
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Schedule a callMore From: Annales Universitatis Mariae Curie-Sklodowska, sectio A – Mathematica
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