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math.PR2012★ 1 cited
Independent Events in a Simple Random Experiment and the Meaning of Independence
Isaac M. Sonin
We count the number and patterns of pairs and tuples of independent events in a simple random experiment: first a fair coin is flipped and then a fair die is tossed. The first numb…
math.PR2010
On some estimates for bounded submartingales and the shift inequality
Leonid Galtchouk, Isaac Sonin
It is well known that if a submartingale is bounded then the increasing predictable process and the martingale from the Doob decomposition can be unbounded. I…