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math.ST2019★ 2 cited
Minimizing the expected value of the asymmetric loss and an inequality of the variance of the loss
Naoya Yamaguchi, Yuka Yamaguchi, Ryuei Nishii
For some estimations and predictions, we solve minimization problems with asymmetric loss functions. Usually, we estimate the coefficient of regression for these problems. In this…
math.RT2019★ 5 cited
Generalized group determinant gives a necessary and sufficient condition for a subset of a finite group to be a subgroup
Naoya Yamaguchi, Yuka Yamaguchi
We generalize the concept of the group determinant and prove a necessary and sufficient novel condition for a subset to be a subgroup. This development is based on the group determ…