Nuclear parton distribution functions and their effects on sin^2 theta_W anomaly

Nuclear parton distribution functions (NPDFs) are investigated by analyzing the data on structure functions F_2^A and Drell-Yan cross sections sigma_{DY}^{pA}. An important point of this analysis is to show uncertainties of the NPDFs by the Hessian method. The analysis indicates that the uncertainties are large for antiquark distributions at x>0.2 and gluon distributions in the whole x region. We also discuss a nuclear effect on the NuTeV sin^2 theta_W anomaly as an application.