May
16
accepted Rewriting SDEs - "Multiplication on both sides"
May
16
comment Rewriting SDEs - "Multiplication on both sides"
Well, it does. Thank you.
Apr
26
comment Cylindrical sigma algebra answers countable questions only.
Given an index set $T$ and a collection of $\sigma$-fields $\mathcal{F}_t$ on spaces $\Xi_t$, $t\in T$. Pick any $A_t \in\mathcal{F}_t$. Then $A_t\times \prod_{s\neq t} \Xi_s$ is a one-dimensional cylinder set.
Apr
26
asked Cylindrical sigma algebra answers countable questions only.
Mar
16
awarded Popular Question
Feb
12
asked Stochastic Exponential: $dZ=-\lambda Z dM + dL$ to $dZ=-\lambda Z dM + Zd\tilde{L}$ while $\tilde{L}$ is still orthogonal to $M$
Dec
22
accepted Fix end point in smooth kernel distribution density
Dec
21
comment Confidence Interval in Monte Carlo integration
OK, so since the Binomial is stable under convolution, I can use e.g. Wald's method to do that. Thank you!
Dec
21
awarded Commentator
Dec
21
comment Confidence Interval in Monte Carlo integration
Correct. More specifically I want to know $\mathbb{P}(X_T>x)$ for some jump process (heavy tailed jumps). So each estimator just runs $10^3$ sample paths - it is like hit if $X_T>x$ and no hit if it is below the threshold.
Dec
21
comment Confidence Interval in Monte Carlo integration
You mean just sample once (some large number) - which is a Binomial sample and use the quantiles?
Dec
21
asked Confidence Interval in Monte Carlo integration
Dec
16
comment Draw from HistogramDistribution with ParallelTable
8.0 for Linux x86 (64-bit)
Dec
16
awarded Commentator
Dec
16
comment Draw from HistogramDistribution with ParallelTable
ok, ill give it a try again. thank you for your suggestion.
Dec
15
comment Draw from HistogramDistribution with ParallelTable
I just tried your idea with the module and it gives the same problem. The module seems to cause the problems. However, I have to keep it because drawExample does some computations before.
Dec
15
asked Draw from HistogramDistribution with ParallelTable
Dec
9
comment Ito Process $\Longrightarrow$ continuous semimartingale
No, also the converse is true. Check Thoerem II.3.9 in Protter's book. A cadlag, locally square integrable local martingale is a semimartingale, and a cadlag process with finite variation on compacts also is a semimartingale. Moreover, semimartingales form a vector space.
Dec
9
answered Ito Process $\Longrightarrow$ continuous semimartingale
Nov
21
revised Fix end point in smooth kernel distribution density
added 6 characters in body
1 2 3 4 5