6,439 research outputs found
Treatment Effect Models with Strategic Interaction in Treatment Decisions
This study considers treatment effect models in which others' treatment
decisions can affect one's own treatment and outcome. Focusing on the case of
two-player interactions, we formulate treatment decision behavior as a complete
information game with multiple equilibria. Using a latent index framework and
assuming a stochastic equilibrium selection, we prove that the marginal
treatment effect from one's own treatment and that from the partner can be
identified separately. Based on our constructive identification results, we
propose a two-step semiparametric procedure for estimating the marginal
treatment effects using series approximation. We show that the proposed
estimator is uniformly consistent and asymptotically normally distributed. As
an empirical illustration, we investigate the impacts of risky behaviors on
adolescents' academic performance
Schr\"odinger uncertainty relation, Wigner-Yanase-Dyson skew information and metric adjusted correlation measure
In this paper, we give a Schr\"odinger-type uncertainty relation using the
Wigner-Yanase-Dyson skew information. In addition, we give Schr\"odinger-type
uncertainty relation by use of a two-parameter extended correlation measure.
Moreover, we give the further generalization for Schr\"odinger-type uncertainty
relation by metric adjusted correlation measure. These results generalize our
previous result in [Phys. Rev. A, Vol.82(2010), 034101].Comment: Section 3 was revise
Bounds of the logarithmic mean
We give tight bounds for logarithmic mean. We also give new Frobenius norm
inequalities for two positive semidefinite matrices. In addition, we give some
matrix inequalities on matrix power mean.Comment: The second assertion in (i) of Proposition 5.2 was modified. (This
modification shows our means are better bounds than the standard Riemann sum
for the logarithmic mean.
On trace inequalities and their applications to noncommutative communication theory
Certain trace inequalities related to matrix logarithm are shown.
These results enable us to give a partial answer of the open problem
conjectured by A.S.Holevo.
That is, concavity of the auxiliary function which appears in the random
coding exponent as the lower bound of the quantum reliability function for
general quantum states is proven in the case of .Comment: 8 page
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