Under minimal assumptions, it is established that the sample second moments of the errors of out-of-sample (real time) forecasts of possibly incorrect regARIMA models have asymptotic limits with useful frequency domain formulas. Both OLS and GLS estimates of the mean function are considered. With misspecified regressors, under additional assumptions that do not appear to exclude any regressors ...

The weighted sum of squared differences cost function is often minimized to align two images with overlapping fields of view. If one image is shifted with respect to the other, the cost function can be written as a sum involving convolutions. This paper demonstrates that performing these convolutions in the frequency domain saves a significant amount of processing time when searching for a glob...

The standard approaches to solving overdetermined linear systems Ax ≈ b construct minimal corrections to the vector b and/or the matrix A such that the corrected system is compatible. In ordinary least squares (LS) the correction is restricted to b, while in data least squares (DLS) it is restricted to A. In scaled total least squares (Scaled TLS) [15], corrections to both b and A are allowed, ...

The div least-squares methods have been studied by many researchers for the secondorder elliptic equations, elasticity, and the Stokes equations, and optimal error estimates have been obtained in the H(div) × H1 norm. However, there is no known convergence rate when the given data f belongs only to L2 space. In this paper, we will establish an optimal error estimate in the L2 × H1 norm with the...

We consider the least-squares finite element method (lsfem) for systems of nonlinear ordinary differential equations, and establish an optimal error estimate this when piecewise linear elements are used. The main assumptions that vector field is sufficiently smooth local Lipschitz constant as well operator norm Jacobian matrix associated with nonlinearity small, restricted to a suitable neighbo...

While enjoying the most rapid economic growth of all large industrialized nations, inequalities in the distribution of income have grown faster in the United States than in most developed nations since the late 1960s. Previous empirical analysis studying the effects of increasing globalization on income inequality defined “economic globalization” as international trade and capital flows. By exc...

Unlike in the United States where fertility is found to be negatively correlated with female labor force participation, China has witnessed a decrease in both fertility and female labor force participation since the 1980s. Does fertility play a different role in female labor force participation in China than in the U.S.? To answer this question, this paper exploits plausibly exogenous variation...