Exact(48)
For multiple stopping problem in the sum case, ({ {T_{i}^{m}} k)}) are optimal m-stopping times in the sense that for all stopping times k
Then the sequence of these stopping times is non-decreasing and τ k ↑ ∞.
implying that the sequence of stopping times τ U is increasing.
Let σ≤τbe stopping times and Open image in new window be an upper semianalytic function1.
Trains will leave King's Cross up to 20 minutes earlier than normal, resuming their usual stopping times from Peterborough.
Then the stopping times mentioned above are almost surely finite and tau_{1}< gamma_{1}< tau_{2}< gamma_{2}< cdots.
Similar(11)
For any integer, we introduce the sequence of increasing stopping-times: (3.18).
To solve this problem, it is crucial to understand the (mathbb {G} -stopping times and their relation with (mathbb {G} -stopping times.
To solve this problem, it is crucial to understand the (mathbb {G} -stopping times and their relation with (mathbb {G} -stopping times. .
We can reduce the local martingale case to the martingale case by taking a sequence of (mathbb {F} -stopping times which localizes the processes appearing in conditions (1) and (2).
Let X=(X t, t≥0) be a right-continuous (mathbb {F} -supermartingale and let (mathcal {T}) be the collection oF} -supermartingaleb {F})-stopping times relandve to this familet
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