This paper combines the least squaress estimate, least absolute deviation estimate, least median estimate with Bootstrap method. When the overall error distribution is unknown or it is not the normal distribution, we estimate the regression coefficient and confidence interval of coefficient, and through data simulation, obtain Bootstrap method, which can improve stability of regression coeffici...

An accurate estimation of upper atmospheric densities is crucial for precise orbit determination (POD), prediction low Earth satellites, and scientific studies the Earth's atmosphere. But estimated using satellite tracking data are always uncertain up to drag-coefficient assumed in inversion method. This work develops a new framework simultaneously estimate density satellites with time-varying ...

We test perturbatively a recent scheme for implementing chiral fermions on the lattice, proposed by Kaplan and modified by Narayanan and Neuberger, using as our testing ground the chiral Schwinger model. The scheme is found to reproduce the desired form of the effective action, whose real part is gauge invariant and whose imaginary part gives the correct anomaly in the continuum limit, once tec...