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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 "...
aisync's user avatar
  • 365
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 ...
Ka Wa Yip's user avatar
  • 948
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: $mean = dE(X_t) = dX_0e^t$ $...
user1596241's user avatar