394 citations · 7.2k across the 232 of their papers we have counts for
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Nearly tight universal bounds for the binomial tail probabilities
Huangjun Zhu, Zihao Li, Masahito Hayashi
We derive simple but nearly tight upper and lower bounds for the binomial lower tail probability (with straightforward generalization to the upper tail probability) that apply to t…
Two non-regular extensions of large deviation bound
Masahito Hayashi
We formulate two types of extensions of the large deviation theory initiated by Bahadur in a non-regular setting. One can be regarded as a bound of the point estimation, the other…
Limiting behavior of relative Rényi entropy in a non-regular location shift family
Masahito Hayashi
We calculate the limiting behavior of relative Renyi entropy when the first probability distribution is close to the second one in a non-regular location-shift family which is gene…
Two non-regular extensions of the large deviation bound
Masahito Hayashi
We formulate two types of extension of the large deviation theory initiated by Bahadur in a non-regular setting. One can be regarded as a bound of the point estimation, the other c…