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Diffstat (limited to 'posts/2019-03-13-a-tail-of-two-densities.org')
| -rw-r--r-- | posts/2019-03-13-a-tail-of-two-densities.org | 2 |
1 files changed, 1 insertions, 1 deletions
diff --git a/posts/2019-03-13-a-tail-of-two-densities.org b/posts/2019-03-13-a-tail-of-two-densities.org index f1b6b15..c57afcd 100644 --- a/posts/2019-03-13-a-tail-of-two-densities.org +++ b/posts/2019-03-13-a-tail-of-two-densities.org @@ -485,7 +485,7 @@ respectively. Then the following are equivalent: \(q_i(\cdot | y_{< i})\) are \((\epsilon, \delta)\)-ind 2. There exists events \(E_i, F_i \subset \Omega\) with - \(\mathbb P(E_i | \xi_{<i} = y_{<i}) = \mathbb P(F_i | \eta_{<i} = y_{< i}) \ge 1 - \delta\) + \(\mathbb P(E_i | \xi_{< i} = y_{< i}) = \mathbb P(F_i | \eta_{< i} = y_{< i}) \ge 1 - \delta\) for any \(y_{< i}\), such that \(p_{i | E_i}(\cdot | y_{< i})\) and \(q_{i | E_i} (\cdot | y_{< i})\) are \(\epsilon\)-ind for any \(y_{< i}\), where $$\begin{aligned} |