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author | Yuchen Pei <me@ypei.me> | 2019-03-26 13:40:46 +0100 |
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committer | Yuchen Pei <me@ypei.me> | 2019-03-26 13:40:46 +0100 |
commit | ce32c04fb8871da23033ca2883ca3b27dd5eabc0 (patch) | |
tree | 890c54d7da08080e978b49b1330deb1f5aa732a9 /posts | |
parent | 519cb7da97f2d300d04850055880f324df7c6100 (diff) |
minor
Diffstat (limited to 'posts')
-rw-r--r-- | posts/2019-03-13-a-tail-of-two-densities.md | 4 |
1 files changed, 2 insertions, 2 deletions
diff --git a/posts/2019-03-13-a-tail-of-two-densities.md b/posts/2019-03-13-a-tail-of-two-densities.md index cde2875..e97818a 100644 --- a/posts/2019-03-13-a-tail-of-two-densities.md +++ b/posts/2019-03-13-a-tail-of-two-densities.md @@ -1088,8 +1088,8 @@ $(k a(\epsilon) + \sqrt{2 k \log \beta^{-1}} (\epsilon + a(\epsilon)), \beta + k **Remark**. This theorem appeared in Dwork-Rothblum-Vadhan 2010, but I could not find a proof there. A proof can be found in Dwork-Roth 2013 (See Theorem 3.20 there). -Here I prove it in a similar way, except that I use the conditional probability results -from Claim 5 instead of the use of an intermediate random variable in Dwork-Roth 2013. +Here I prove it in a similar way, except that instead of the use of an intermediate random variable there, +I use the conditional probability results from Claim 5, the approach mentioned in Vadhan 2017. **Proof**. By Claim 5, there exist events $E_{1 : k}$ and $F_{1 : k}$ such that |