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Jul 15, 2020 at 13:48 comment added user290384 I have edited the question and added an extra subquestion, which came to mind while writing out the problem.
Jul 15, 2020 at 13:47 history edited user290384 CC BY-SA 4.0
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Jul 15, 2020 at 13:08 comment added whuber It helps me understand the question doesn't ask what you want it to ask, so please edit it accordingly.
Jul 15, 2020 at 13:00 comment added user290384 Using a transition probability matrix the stochastic process $X(t)$ might make transitions according to the following values $X(0)=i$, $X(\Delta t/2)=h$ and $X(X(\Delta t)=j)$ for $i\neq h\neq j$. This effect or these paths, I want to exclude and therefore want to determine the probability of a single transition from $i$ to $j$ between $0$ and $\Delta t$. I now notice that my question is slightly wrong, since it asks for the probability of a transition at exactly $\Delta t$, which I can understand has zero probability in the context of a continuous timeline. Does this comment clarify?
Jul 15, 2020 at 12:44 comment added whuber Could you explain what it might possibly mean to "exclude this effect"? The problem you formulate in the first paragraph doesn't appear soluble without adding strong assumptions about the process. For most processes in continuous time, the chance of an instantaneous transition at a specific time $\Delta t$ is zero.
Jul 15, 2020 at 9:08 review First posts
Jul 15, 2020 at 10:17
Jul 15, 2020 at 9:05 history asked user290384 CC BY-SA 4.0