A method is developed for constructing a confidence band for a cumulative distribution function with known functional form. The band is derived using the maximum absolute difference between the true ...

The concentration of empirical measures is studied for dependent data, whose joint distribution satisfies Poincaré-type or logarithmic Sobolev inequalities. The general concentration results are then ...

A bimodal distribution often results from a process that involves the breakup of several sources of particles, different growth mechanisms, and large particles in a system. For instance, bimodal ...