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math.ST2023
Existence of Firth's modified estimates in binomial regression models
Mitsunori Ogawa, Yui Tomo
In logistic regression modeling, Firth's modified estimator is widely used to address the issue of data separation, which results in the nonexistence of the maximum likelihood esti…
math.ST2013★ 2 cited
Markov degree of the Birkhoff model
Takashi Yamaguchi, Mitsunori Ogawa, Akimichi Takemura
We prove the conjecture by Diaconis and Eriksson (2006) that the Markov degree of the Birkhoff model is three. In fact, we prove the conjecture in a generalization of the Birkhoff…
math.ST2011
Markov Bases for Typical Block Effect Models of Two-way Contingency Tables
Mitsunori Ogawa, Akimichi Takemura
Markov basis for statistical model of contingency tables gives a useful tool for performing the conditional test of the model via Markov chain Monte Carlo method. In this paper we…