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Itovsn3

Guides

  • Main

Tech Notes

  • Bessel
  • BlackScholes
  • ItoArea
  • MardiaDryden
  • Reflect
  • Stochastic Integration

Symbols

  • AddDrift
  • AddFixed
  • AddQuadVar
  • Brktbydt
  • BrownBasis
  • BrownSingle
  • BSDQ
  • Drftbydt
  • Drift
  • Fixed
  • GetItoProc
  • InitialValue
  • Introduce
  • ItoD
  • ItoExpand
  • ItoInit
  • ItoIntegral
  • ItoReset
  • Itosde
  • ItoStatus
  • RandomQ
FernandoDuarte`Itovsn3`
AddDrift
​
AddDrift[dX,driftdX]
sets
Drftbydt
[dX]
to
driftdX/dt
.
​
Examples  
(1)
Basic Examples  
(1)
In[1]:=
ItoReset
[t,dt]
Out[1]//TableForm=
Itovsn3 resetting ...
Itovsn3 initialized
with time semimartingale t
and time differential dt
Introduce a new semimartingale:
In[2]:=
Introduce
[X,dX]
Out[2]=
{dX,dt}
Change the drift of
dX
:
In[3]:=
AddDrift
[dX,driftdX]
Out[3]=
driftdX
dt
The change is reflected in the first-order structure:
In[4]:=
ItoStatus
[]
Out[4]=
Summary of current structure of stochastic differentials
Current second-order structure of semimartingale differentials:
dX
dt
dX
dtBrktbydt[dX,dX]
0
dt
0
0
Current first-order structure of semimartingale differentials:
dX
dt
driftdX
dt
Current initial values:
X
t
Fixed[0,X]
0
SeeAlso
AddQuadVar
 
▪
AddFixed
 
▪
Brktbydt
 
▪
BrownBasis
 
▪
BrownSingle
 
▪
Introduce
RelatedGuides
▪
Main
""

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