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Approximation of a random process with variable smoothness
locally stationary processes multifractional Brownian motion piecewise constant approximation
2012/6/25
We consider the rate of piecewise constant approximation to a locally stationary process $X(t),t\in [0,1]$, having a variable smoothness index $\alpha(t)$. Assuming that $\alpha(\cdot)$ attains its un...
Chung, Diaconis, and Graham considered random processes of the form Xn+1=2Xn+bn (mod p) where X0=0, p is odd, and bn for n=0, 1, 2, ... are i.i.d. random variables on {-1,0,1}. If Pr(bn=-1)=Pr(bn=1)= ...
On the Chung-Diaconis-Graham random process
Chung Diaconis Graham considered random processes
2009/4/3
Chung, Diaconis, and Graham considered random processes of the form Xn+1=2Xn+bn (mod p) where X0=0, p is odd, and bn for n=0, 1, 2, ... are i.i.d. random variables on {-1,0,1}. If Pr(bn=-1)=Pr(bn=1)= ...