Bayesian quantile regression

Recent work by Schennach (2005) has opened the way to a Bayesian treatment of quantile regression. Her method, called Bayesian exponentially tilted empirical likelihood (BETEL), provides a likelihood for data y subject only to a set of m moment conditions of the form Eg(y, ?) = 0 where ? is a k dimensional parameter of interest and k may be smaller, equal to or larger than m. The method may be thought of as construction of a likelihood supported on the n data points that is minimally informative, in the sense of maximum entropy, subject to the moment conditions.

When a complementarity in the neutrino mixing meets a parameter symmetry and its implications

We present a complementarity that complements relationships among the elements in the neutrino mixing matrix and address its physical implications. First we show how a complementarity with a phase being introduced as an extra parameter can be held in the nine independent schemes of parameterizing the matrix introducing a discrete parameter symmetry and a combination of sine functions, a part of Jarlskog invariant, within a certain size of uncertainty. Then, for the first time, we show that we can use the uncertainty associated with the complementarity as an empirical constraint complementing that among the diagonal elements in the neutrino mixing matrix. We discuss its physical implication in relation to the size of the uncertainty among the elements in the end

When sound wave meets the neutrino anomaly

We propose that the sound wave coming to the inner side of Miniboone detector could be one of the sources for our having the neutrino anomaly in the experiment. We start with presenting a rough estimate for the size of the energy associated with the sound wave coming into the detector, the size of the loss of energy associate with the save wave as it travels down to the target medium due to their gravitationally interacting with the sound wave in a classical sense. After that, we describe that the neutrino anomaly could be due to the sound wave interacting with the detector material under the pressure due to the presence of the mineral oil and their producing phonon-induced electrons via a process such as the thermionic emission, which may lead more events to be identified as electron-like events in the experiment. We also address that the sound wave may scatter with the electrons produced from the electron-photon shower