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Sim.DiffProc (version 2.5)

BMStraT: Stratonovitch Integral [4]

Description

Simulation of the Stratonovitch integral(s o dW(s),0,t).

Usage

BMStraT(N, T, output = FALSE)

Arguments

N
size of process.
T
final time.
output
if output = TRUE write a output to an Excel (.csv).

Value

  • data frame(time,Stra) and plot of the Stratonovitch integral.

Details

Stratonovitch integral as defined : $$integral(f(t) o dW(s),0,t) = lim(sum(0.5*(f(t[i])+f(t[i+1]))*(W(t[i+1])-W(t[i]))))$$ calculus for Stratonovitch integral with w(0) = 0: $$integral(s o dW(s),0,t) = lim(sum(0.5*(t[i]*(W(t[i+1])-W(t[i]))+t[i+1]*(W(t[i+1])-W(t[i])))))$$ The discretization dt = T/N, and W(t) is Wiener process.

See Also

BMStra Stratonovitch Integral [1], BMStraC Stratonovitch Integral [2], BMStraC Stratonovitch Integral [3].

Examples

Run this code
BMStraT(N=1000, T=1,output = FALSE)

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