Total variation distance
= Total variation distance
{title2=$\lVert\mu-\nu\rVert_{\mathrm{TV}}$}
The total variation distance between probability distributions is
$$
\lVert\mu-\nu\rVert_{\mathrm{TV}}
=\sup_A|\mu(A)-\nu(A)|.
$$
= Total variation distance
{title2=$\lVert\mu-\nu\rVert_{\mathrm{TV}}$}
The total variation distance between probability distributions is
$$
\lVert\mu-\nu\rVert_{\mathrm{TV}}
=\sup_A|\mu(A)-\nu(A)|.
$$