Abstract: This paper deals with the state estimation of non-linear stochastic dynamic systems with an emphasis on a probability density function approximation used by ...

1 Warwick Mathematics Institute, The University of Warwick, Coventry, United Kingdom 2 School of Computer and Information Engineering, Luoyang Institute of Science and Technology, Luoyang, China To ...

University of World Economy and Diplomacy, Tashkent, Uzbekistan. There are various approximate analytical methods for solving differential equations. For example, in the works [1] [2] new approaches ...

College of Mathematics and Statistics, Chongqing University of Technology, Chongqing, China. In recent years, an application of Legendre wavelet to solve integral-differential equations and partial ...

Abstract: We propose a saddlepoint approximation of the error probability of a binary hypothesis test between two i.i.d. distributions. The approximation is accurate ...

The impact of measurement error in explanatory variables on quantile regression functions is investigated using a small variance approximation. The approximation ...