We consider maximum likelihood estimation of finite mixture of uniform distributions. We prove that the maximum likelihood estimator is strongly consistent, if the scale parameters of the component uniform distributions are restricted from below by exp(−nd), 0 < d < 1, where n is the sample size.

We review the effects of strong background fields in noncommutative QED. Beginning with the noncommutative Maxwell and Dirac equations, we describe how combined noncommutative and strong field effects modify the propagation of fermions and photons. We extend these studies beyond the case of constant backgrounds by giving a new and revealing interpretation of the photon dispersion relation. Cons...

A systematic development is presented of a strong-field method for photoionization of atoms and molecules. The strong-field requirement demands a relativistic treatment. A Dirac theory is developed. The exact S matrix is expanded on the premise that the plane-wave field is stronger than the binding of the atom or molecule. The leading term of this expansion is the strong-field approximation. Th...