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The idea of a first hitting time is quite broad.
The reflection principle of standard Brownian motion relates the probability distribution of a first hitting time to a boundary to the 1-dimensional marginal distribution of the process.
It is mentioned in [1] that meeting times of two random walks on some graphs can be regarded as a first hitting time of a single random walk.
When approximating a first hitting time distribution, the results obtained with our algorithm are much better than those achieved with other methods.
Some of the earliest uses of a first hitting time model for survival and time-to-event data employed a one-dimensional Wiener process and a fixed threshold or absorbing barrier.
For example, in industrial quality control, the run time until a quality measure first reaches an out-of-control limit is a first hitting time and a standard quantity considered in quality management.
Similar(54)
It was a first hit out for some of them," admitted Tandy.
A third hit him again, while a fourth videotaped the attack on his cellphone.
A fifth hit him squarely on the right side of his head, killing him.
PCBs have also been proposed to act as a "second hit" driving steatosis to NASH in mice exposed to high fat diet [ 24].
Notably, DSS-induced colitis in heterozygous Mdr2+/− mice as a "second hit" induced only mild portal inflammation but not the full-blown picture of sclerosing cholangitis [100].
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