All Questions
3
questions
1
vote
1
answer
89
views
What's the explicit difference when looking at Differential Equations vs Stochastic Differential Equations?
I learned differential equations from mathematics text and have having some trouble with its application in statistics. Specifically applied to stochastic time series.
From my time series text reads "...
0
votes
2
answers
351
views
Is jump intensity inaccurate in describing random process?
In https://en.wikipedia.org/wiki/It%C3%B4's_lemma
Under the section of Poisson jump processes, it is said that
We may also define functions on discontinuous stochastic processes.
Let h be the jump ...
1
vote
1
answer
2k
views
Finding mean and variance of stochastic process
If I'm given a Stochastic Process Xt that satisfies a stochastic diff. equation, let's say fXt,
what is the formula to find the mean and variance of Xt?
I think it's:
$mean = dE(X_t) = dX_0e^t$
$...