Abstract: We study the asymptotic properties of Lasso+mLS and Lasso+ Ridge under the sparse high-dimensional linear regression model: Lasso selecting predictors and then modified Least Squares (mLS) or Ridge estimating their coefficients. First, we propose a valid inference procedure for parameter estimation based on parametric residual bootstrap after Lasso+ mLS and Lasso+Ridge. Second, we der...

The detection of influential observations has attracted a great deal of attention in last few decades. Most of the ideas of determining influential observations are based on single-case diagnostics with ith case deleted. The Cook’s distance are most commonly used among the other single-case diagnostics and successfully applied to various statistical models. In this article, we propose Cook’s di...

Abstract The ocean magnetic anomaly detection based on unmanned underwater vehicles has great significance in military field, such as anti-submarine, anti-mine, and ship property evaluation. But it is easy for magnetometer fixed to be affected by the interference of ferromagnetic equipment electronic equipment. interferential field seriously affects measurement accuracy magnetometer. In this pa...