A mean-square error lower bound for the discretetime nonlinear filtering problem is derived based on the Van Trees (posterior) version of the Cramér–Rao inequality. This lower bound is applicable to multidimensional nonlinear, possibly non-Gaussian, dynamical systems and is more general than the previous bounds in the literature. The case of singular conditional distribution of the one-step-ahe...

In this study, we obtained the position-momentum uncertainties and some uncertainty relations for the Pöschl-Teller-type potential for any ℓ. The radial expectation values of r −2 , r 2 and p 2 are obtained from which the Heisenberg Uncertainty principle holds for the potential model under consideration. The Fisher information is then obtained and it is observed that the Fisher-information-base...

In a regular distribution family, Cramér-Rao inequality holds, and the maximum likelihood estimator (MLE) converges to a normal distribution whose variance is the inverse of the Fisher information because the Fisher information converges and is well-defined in this family. However, in a non-regular location shift family which is generated by a distribution of R whose support is not R (e.g., a W...

In this research, the radial Schrodinger equation for a newly proposed screened Kratzer-Hellmann potential model was studied via conventional Nikiforov-Uvarov method. The approximate bound state solution of obtained using Greene-Aldrich approximation, in addition to normalized eigenfunction new both analytically and numerically. These results were employed evaluate rotational-vibrational partit...

1 Web Caching, Consistency, and Content Distribution 1 Arun Iyengar, Erich Nahum, Anees Shaikh, Renu Tewari IBM Research 1.