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Post Closed as "Needs details or clarity" by R W, Daniel Moskovich, Todd Trimble, Andrey Rekalo, David White
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edit approved Sep 30, 2013 at 10:46
Davide Giraudo
edit approved Sep 30, 2013 at 10:46
Davide Giraudo
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Lp $L^2$ convergence of a stochastic processtight sequence

Let Xn$(X_n,n\geqslant 1)$ be a tight sequence of stochastic processes defined on the same probability. Suppose ||Xn||_L2$\lVert X_n\rVert_{L^2}$ converges to ||X||_L2$\lVert X\rVert_{L^2}$. Under what conditions do we have L2$L^2$ convergence?

Lp convergence of a stochastic process

Let Xn be a tight sequence of stochastic processes defined on the same probability. Suppose ||Xn||_L2 converges to ||X||_L2. Under what conditions do we have L2 convergence?

$L^2$ convergence of a tight sequence

Let $(X_n,n\geqslant 1)$ be a tight sequence of stochastic processes defined on the same probability. Suppose $\lVert X_n\rVert_{L^2}$ converges to $\lVert X\rVert_{L^2}$. Under what conditions do we have $L^2$ convergence?

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Ricardo Andrade
Ricardo Andrade
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Tom
Tom
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Lp convergence of a stochastic process

Let Xn be a tight sequence of stochastic processes defined on the same probability. Suppose ||Xn||_L2 converges to ||X||_L2. Under what conditions do we have L2 convergence?