394 citations · 7.2k across the 232 of their papers we have counts for
6 papers · 1 filter
Significance improvement by randomized test in random sampling without replacement
Zihao Li, Huangjun Zhu, Masahito Hayashi
This paper studies one-sided hypothesis testing under random sampling without replacement. That is, when binary random variables are subject to a permut…
Optimal Mechanism for Randomized Responses under Universally Composable Security Measure
Yuuya Yoshida, Man-Hong Yung, Masahito Hayashi
We consider a problem of analyzing a global property of private data through randomized responses subject to a certain rule, where private data are used for another cryptographic p…
Local Equivalence Problem in Hidden Markov Model
Masahito Hayashi
In the hidden Markov process, there is a possibility that two different transition matrices for hidden and observed variables yield the same stochastic behavior for the observed va…
Information Geometry Approach to Parameter Estimation in Hidden Markov Models
Masahito Hayashi
We consider the estimation of the transition matrix of a hidden Markovian process by using information geometry with respect to transition matrices. In this paper, only the histogr…
Information Geometry Approach to Parameter Estimation in Markov Chains
Masahito Hayashi, Shun Watanabe
We consider the parameter estimation of Markov chain when the unknown transition matrix belongs to an exponential family of transition matrices. Then, we show that the sample mean…
Finite-length Analysis on Tail probability for Markov Chain and Application to Simple Hypothesis Testing
Shun Watanabe, Masahito Hayashi
Using terminologies of information geometry, we derive upper and lower bounds of the tail probability of the sample mean. Employing these bounds, we obtain upper and lower bounds o…