Convergence in L2
= Convergence in L2
{title2=$X_n\to X\text{ in }L^2$}
= Mean-square convergence
{synonym}
Convergence in $L^2$ means $\mathbb E[(X_n-X)^2]\to0$. It implies <convergence in probability> by <Markov inequality>.
= Convergence in L2
{title2=$X_n\to X\text{ in }L^2$}
= Mean-square convergence
{synonym}
Convergence in $L^2$ means $\mathbb E[(X_n-X)^2]\to0$. It implies <convergence in probability> by <Markov inequality>.