We introduce a new approach to simulating rare events for Markov random walks with heavy-tailed increments. This approach involves sequential importance sampling and resampling, and uses a martingale ...

Hurricane Florence’s 3-day rainfall was a less than .1% probability, "1000-year" event, analysis from The National Oceanic and Atmospheric Administration’s National Weather Service found. "The fact ...

The outcomes of rolling a six-sided die are: 1, 2, 3, 4, 5, 6. A probability of zero means an outcome is impossible. A probability of 1 means an outcome is certain ...

Two events are independent if the probability of the first event happening has no impact on the probability of the second event happening. If the probability of one event happening affects the ...